-
Notifications
You must be signed in to change notification settings - Fork 13
/
multiplication2.html
860 lines (833 loc) · 91.4 KB
/
multiplication2.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
<!DOCTYPE html>
<html lang="en">
<!-- Mirrored from math-drills.com/multiplication2.php by HTTrack Website Copier/3.x [XR&CO'2014], Fri, 30 Aug 2024 17:47:18 GMT -->
<!-- Added by HTTrack --><meta http-equiv="content-type" content="text/html;charset=UTF-8" /><!-- /Added by HTTrack -->
<head>
<meta charset="UTF-8">
<title>Long Multiplication Worksheets</title>
<meta name="description" content="Multiplication worksheets beyond the facts including two- three- and four-digit multiplication worksheets and worksheets featuring lattice multiplication.">
<meta name="keywords" content="math, multiplication, multiply, multi, digit, worksheet, drill, long, lattice, practice">
<link rel="stylesheet" type="text/css" href="includes/mdstyle2.070.css">
<meta name="viewport" content="width=device-width, initial-scale=1">
<link rel="apple-touch-icon" sizes="180x180" href="apple-touch-icon.png">
<link rel="icon" type="image/png" sizes="32x32" href="favicon-32x32.png">
<link rel="icon" type="image/png" sizes="16x16" href="favicon-16x16.png">
<link rel="manifest" href="site.002.html">
<link rel="canonical" href="multiplication2.html">
<script async src="../pagead2.googlesyndication.com/pagead/js/f4290.txt?client=ca-pub-2856036633404156" crossorigin="anonymous"></script>
<!-- Google tag (gtag.js) -->
<script async src="https://www.googletagmanager.com/gtag/js?id=G-J8KREQZRY2"></script>
<script>
window.dataLayer = window.dataLayer || [];
function gtag(){dataLayer.push(arguments);}
gtag('js', new Date());
gtag('config', 'G-J8KREQZRY2');
</script>
</head>
<body itemscope itemtype="https://schema.org/CreativeWork">
<div class="header">
<div class="logo">
<p class="pcenter">
<a href="index.html" aria-label="Home"><svg class="iconwhite size100 imdgradbg"><use xlink:href="includes/symbol-defs.006.svg#icon-math-drills-logo"></use></svg></a>
</p>
</div>
<div class="title">
<h1>
<span class="maintitle" itemprop="name">Long Multiplication Worksheets</span> </h1>
</div>
<div class="searchform">
<form action="https://math-drills.com/search.php" method="get">
<div class="searchbox pcenter">
<input class="searchtext searchbb" type="search" aria-label="search input box" name="s" placeholder="Search for math worksheets..." value="">
<input type="hidden" name="page" value="1">
<input type="hidden" name="sort" value="weekly">
<button type="submit" value="" class="searchbutton" aria-label="Search Button"><svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-search"></use></svg></button>
</div>
</form>
</div>
</div>
<div class="navmenuwrapper">
<div class="navmenu">
<div onclick="openWNav()" title="Math Worksheet Topics">
<svg class="iconwhite"><use xlink:href="includes/symbol-defs.006.svg#icon-list2"></use></svg>
<span>Menu</span>
</div>
<a href="news/index.html" title="Math-Drills News and Updates">
<svg class="iconwhite"><use xlink:href="includes/symbol-defs.006.svg#icon-newspaper"></use></svg>
<span>News</span>
</a>
<a href="search5598.html?s=math&page=1&sort=weekly" title="Most Popular Math Worksheets This Week">
<svg class="iconwhite iorange"><use xlink:href="includes/symbol-defs.006.svg#icon-fire"></use></svg>
</a>
<a href="searchd190.html?s=math&page=1&sort=newest" title="Recently Added Math Worksheets">
<svg class="iconwhite"><use xlink:href="includes/symbol-defs.006.svg#icon-new"></use></svg>
</a>
</div>
<div id="worksheetnav" class="sidenav">
<a href="index.html" title="Home">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-home"></use></svg>
<span class="topic">Home</span>
</a>
<a href="addition.html" title="Addition Worksheets">
<svg class="iconwhite size32 igreen"><use xlink:href="includes/symbol-defs.006.svg#icon-plus"></use></svg>
<span class="topic">Addition Worksheets</span>
</a>
<a href="subtraction.html" title="Subtraction Worksheets">
<svg class="iconwhite size32 ired"><use xlink:href="includes/symbol-defs.006.svg#icon-minus"></use></svg>
<span class="topic">Subtraction Worksheets</span>
</a>
<a href="multiplication.html" title="Multiplication Worksheets -- Multiplication Facts">
<svg class="iconwhite size32 ibrown"><use xlink:href="includes/symbol-defs.006.svg#icon-times"></use></svg>
<span class="topic">Multiplication Facts Worksheets</span>
</a>
<a href="multiplication2.html" title="Multiplication Worksheets -- Long Multiplication">
<svg class="iconwhite size32 iteal"><use xlink:href="includes/symbol-defs.006.svg#icon-times"></use></svg>
<span class="topic">Long Multiplication Worksheets</span>
</a>
<a href="division.html" title="Division Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-divide"></use></svg>
<span class="topic">Division Worksheets</span>
</a>
<a href="multiop.html" title="Mixed Operations Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-equals"></use></svg>
<span class="topic">Mixed Operations Worksheets</span>
</a>
<hr>
<a href="algebra.html" title="Algebra Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-superscript"></use></svg>
<span class="topic">Algebra Worksheets</span>
</a>
<a href="baseten.html" title="Base Ten Blocks Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-cube"></use></svg>
<span class="topic">Base Ten Blocks Worksheets</span>
</a>
<a href="decimal.html" title="Decimals Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-pushpin"></use></svg>
<span class="topic">Decimals Worksheets</span>
</a>
<a href="factfamilyworksheets.html" title="Fact Family Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-star-empty"></use></svg>
<span class="topic">Fact Families Worksheets</span>
</a>
<a href="fractions.html" title="Fractions Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-braille"></use></svg>
<span class="topic">Fractions Worksheets</span>
</a>
<a href="geometry.html" title="Geometry Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-ruler"></use></svg>
<span class="topic">Geometry Worksheets</span>
</a>
<a href="graphpaper.html" title="Graph Paper">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-layout"></use></svg>
<span class="topic">Graph Paper</span>
</a>
<a href="integers.html" title="Integers Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-equalizer"></use></svg>
<span class="topic">Integers Worksheets</span>
</a>
<a href="measurement.html" title="Measurement Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-ruler2"></use></svg>
<span class="topic">Measurement Worksheets</span>
</a>
<a href="money.html" title="Money Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-dollar"></use></svg>
<span class="topic">Money Math Worksheets</span>
</a>
<a href="numberlineworksheets.html" title="Number Line Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-arrows-h"></use></svg>
<span class="topic">Number Lines Worksheets</span>
</a>
<a href="numbersense.html" title="Number Sense Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-abacus"></use></svg>
<span class="topic">Number Sense Worksheets</span>
</a>
<a href="orderofoperations.html" title="Order of Operations Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-calculator"></use></svg>
<span class="topic">Order of Operations Worksheets</span>
</a>
<a href="patterning.html" title="Patterning Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-sort-amount-asc"></use></svg>
<span class="topic">Patterning Worksheets</span>
</a>
<a href="percentsworksheets.html" title="Percentages Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-percent"></use></svg>
<span class="topic">Percentages Worksheets</span>
</a>
<a href="placevalueworksheets.html" title="Place Value Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-undo"></use></svg>
<span class="topic">Place Value Worksheets</span>
</a>
<a href="powersoften.html" title="Powers of Ten Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-power"></use></svg>
<span class="topic">Powers of Ten Worksheets</span>
</a>
<a href="statistics.html" title="Statistics Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-bar-chart"></use></svg>
<span class="topic">Statistics Worksheets</span>
</a>
<a href="timeworksheets.html" title="Time Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-clock"></use></svg>
<span class="topic">Time Math Worksheets</span>
</a>
<a href="mathwordproblems.html" title="Math Word Problems">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-file-text"></use></svg>
<span class="topic">Math Word Problems Worksheets</span>
</a>
<hr>
<a href="halloween.html" title="Halloween Math Worksheets">
<svg class="iconwhite size32 iorange"><use xlink:href="includes/symbol-defs.006.svg#icon-cat"></use></svg>
<span class="topic">Halloween Math Worksheets</span>
</a>
<a href="thanksgiving.html" title="Thanksgiving Math Worksheets">
<svg class="iconwhite size32 ithanks"><use xlink:href="includes/symbol-defs.006.svg#icon-thanksgiving"></use></svg>
<span class="topic">Thanksgiving Math Worksheets</span>
</a>
<a href="christmas.html" title="Christmas Math Worksheets">
<svg class="iconwhite size32 igreen"><use xlink:href="includes/symbol-defs.006.svg#icon-tree"></use></svg>
<span class="topic">Christmas Math Worksheets</span>
</a>
<a href="valentines.html" title="Valentine's Day Math Worksheets">
<svg class="iconwhite size32 ired"><use xlink:href="includes/symbol-defs.006.svg#icon-heart"></use></svg>
<span class="topic">Valentine's Day Math Worksheets</span>
</a>
<a href="saintpatricks.html" title="Saint Patrick's Day Math Worksheets">
<svg class="iconwhite size32 ispd"><use xlink:href="includes/symbol-defs.006.svg#icon-clover"></use></svg>
<span class="topic">Saint Patrick's Day Math Worksheets</span>
</a>
<a href="easter.html" title="Easter Math Worksheets">
<svg class="iconwhite size32 ieaster"><use xlink:href="includes/symbol-defs.006.svg#icon-easter"></use></svg>
<span class="topic">Easter Math Worksheets</span>
</a>
<a href="special.html" title="Seasonal Math Worksheets">
<svg class="iconwhite size32"><use xlink:href="includes/symbol-defs.006.svg#icon-calendar"></use></svg>
<span class="topic">Seasonal Math Worksheets</span>
</a>
<hr>
<a href="flashcards.html" title="Math Flash Cards">
<svg class="iconwhite size32 iorange"><use xlink:href="includes/symbol-defs.006.svg#icon-brightness-up"></use></svg>
<span class="topic">Math Flash Cards</span>
</a>
<a href="dots.html" title="The Dots Math Game">
<svg class="iconwhite size32 ired"><use xlink:href="includes/symbol-defs.006.svg#icon-th-small"></use></svg>
<span class="topic">Dots Math Game</span>
</a>
<a href="https://www.youtube.com/playlist?list=PLw9d4giA58-e2Z11Btyn5RXxxiZlbFRcs" title="Math-Drills Tutorials by West Explains Best" target="_blank" rel="noopener">
<svg class="iconwhite size32 ired"><use xlink:href="includes/symbol-defs.006.svg#icon-youtube"></use></svg>
<span class="topic">Video Tutorials</span>
</a>
<hr>
<a href="help.html" title="Help and Frequently Asked Questions">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-help-with-circle"></use></svg>
<span class="topic"> Help and FAQ</span>
</a>
<a href="terms.html" title="Math-Drills.com terms of use.">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-clipboard"></use></svg>
<span class="topic"> Terms of Use</span>
</a>
<a href="privacy.html" title="Math-Drills.com Privacy and Cookie Policy">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-locked"></use></svg>
<span class="topic"> Privacy and Cookie Policy</span>
</a>
<a href="tour.html" title="Math-Drills.com Introduction and Tour">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-compass2"></use></svg>
<span class="topic"> Tour/Introduction</span>
</a>
<a href="feedback.html" title="Feedback">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-bubbles4"></use></svg>
<span class="topic"> Feedback</span>
</a>
<a href="teachers.html" title="Teacher information page.">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-graduation-cap"></use></svg>
<span class="topic"> Teachers</span>
</a>
<a href="parents.html" title="Parent information page.">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-parents"></use></svg>
<span class="topic"> Parents</span>
</a>
<a href="support.html" title="Support Math-Drills">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-math-drills-logo"></use></svg>
<span class="topic"> Support Math-Drills</span>
</a>
<a href="https://www.facebook.com/freemath" title="Math-Drills.com on Facebook" target="_blank" rel="noreferrer nofollow">
<svg class="iconwhite size30"><use xlink:href="includes/symbol-defs.006.svg#icon-facebook"></use></svg>
<span class="topic"> Math-Drills on Facebook</span>
</a>
<hr>
<a href="https://mateslibres.com/" title="Ejercicios de Matemáticas Gratis" target="_blank">
<svg class="iconwhite imtgradbg size30"><use xlink:href="includes/symbol-defs.006.svg#icon-math-drills-logo"></use></svg>
<span class="topic"> Ejercicios de Matemáticas Gratis</span>
</a>
<a href="https://mathslibres.com/" title="Fiches d'Exercices de Maths" target="_blank">
<svg class="iconwhite imlgradbg size30"><use xlink:href="includes/symbol-defs.006.svg#icon-math-drills-logo"></use></svg>
<span class="topic"> Fiches d'Exercices de Maths</span>
</a>
</div>
</div> <!-- End of navmenuwrapper Div -->
<div class="tableofcontents">
<h3>Contents</h3>
<div class="toc">
<div class="h2"><a href="#most-popular"> Most Popular Long Multiplication Worksheets this Week</a></div>
<div class="h2"><a href="#long-multiplication-worksheets">Long Multiplication Worksheets</a></div>
<div class="h2"><a href="#other-long-multiplication-strategies">Other Long Multiplication Strategies</a></div>
</div>
</div>
<div class="content">
<div class="adwrap">
<!-- Math-Drills-Topic-1 -->
<ins class="adsbygoogle ad1"
data-ad-client="ca-pub-2856036633404156"
data-ad-slot="3625494651"></ins>
<script>
(adsbygoogle = window.adsbygoogle || []).push({});
</script>
</div>
<p class="firstp">This page includes <span itemprop="description">Long Multiplication worksheets for students who have mastered the basic multiplication facts and are learning to multiply 2-, 3-, 4- and more digit numbers.</span> Sometimes referred to as long multiplication or multi-digit multiplication, the questions on these worksheets require students to have mastered the multiplication facts from 0 to 9.</p>
<p>There are a variety of strategies for completing long multiplication including the classic paper and pencil methods, lattice multiplication (which we feature on this page), mental strategies, manipulative use, technology, and various other paper and pencil algorithms. Multi-Digit multiplication can be a frustrating experience for many students. Try to teach multi-digit multiplication using more than one strategy.</p>
<div class="popular">
<h2 id="most-popular"><svg class="iconwhite size32 iorange"><use xlink:href="includes/symbol-defs.006.svg#icon-fire"></use></svg> Most Popular Long Multiplication Worksheets this Week</h2>
<div class="searchresults">
<a href="multiplication2/multiplication_long_no_tseparator_0202_001.html" title="Multiplying 2-Digit by 2-Digit Numbers"><figure><img src="multiplication2/images/multiplication_long_no_tseparator_0202_001_300.1675735312.jpg" alt="Multiplying 2-Digit by 2-Digit Numbers" loading="lazy" width="250" height="324"><figcaption>Multiplying 2-Digit by 2-Digit Numbers (<strong>7326 views this week</strong>)</figcaption></figure></a>
<a href="multiplication2/multiplication_long_no_tseparator_0302_001.html" title="Multiplying 3-Digit by 2-Digit Numbers"><figure><img src="multiplication2/images/multiplication_long_no_tseparator_0302_001_300.1675735312.jpg" alt="Multiplying 3-Digit by 2-Digit Numbers" loading="lazy" width="250" height="324"><figcaption>Multiplying 3-Digit by 2-Digit Numbers (<strong>4166 views this week</strong>)</figcaption></figure></a>
<a href="multiplication2/multiplication_0201_001.html" title="Multiplying 2-Digit by 1-Digit Numbers"><figure><img src="multiplication2/images/multiplication_0201_001_300.1675735311.jpg" alt="Multiplying 2-Digit by 1-Digit Numbers" loading="lazy" width="250" height="324"><figcaption>Multiplying 2-Digit by 1-Digit Numbers (<strong>3401 views this week</strong>)</figcaption></figure></a>
<a href="multiplication2/multiplication_long_no_tseparator_0303_001.html" title="Multiplying 3-Digit by 3-Digit Numbers"><figure><img src="multiplication2/images/multiplication_long_no_tseparator_0303_001_300.1613563055.jpg" alt="Multiplying 3-Digit by 3-Digit Numbers" loading="lazy" width="250" height="324"><figcaption>Multiplying 3-Digit by 3-Digit Numbers (<strong>2610 views this week</strong>)</figcaption></figure></a>
<a href="multiplication2/multiplication_long_no_tseparator_0301_001.html" title="Multiplying 3-Digit by 1-Digit Numbers"><figure><img src="multiplication2/images/multiplication_long_no_tseparator_0301_001_300.1613524190.jpg" alt="Multiplying 3-Digit by 1-Digit Numbers" loading="lazy" width="250" height="324"><figcaption>Multiplying 3-Digit by 1-Digit Numbers (<strong>1791 views this week</strong>)</figcaption></figure></a>
</div>
</div>
<div class="adwrap">
<!-- Math-Drills-Topic-2 -->
<ins class="adsbygoogle ad1"
data-ad-client="ca-pub-2856036633404156"
data-ad-slot="3918594659"></ins>
<script>
(adsbygoogle = window.adsbygoogle || []).push({});
</script>
</div>
<div class="wscontainer bc01">
<div class="titlearea">
<h2 id="long-multiplication-worksheets">Long Multiplication Worksheets</h2>
</div>
<div class="imagearea">
<img src="multiplication2/images/multiplication_long_no_tseparator_0202_001_300.004.jpg" alt="" width="250" height="324" loading="lazy">
</div>
<div class="worksheetsarea">
<ul class="list">
<li><p>Long multiplication practice worksheets including a variety of number sizes and options for different number formats.</p></li>
<li><p>Two-Digit multiplication is a natural place to start after students have mastered their multiplication facts. The concept of multiplying two-digit numbers requires a knowledge of place and place value, especially if students are to fully understand what they are accomplishing with the various strategies they use. A question such as 24 × 5 can be thought of as (20 + 4) × 5. Mentally, this becomes much easier as students multiply 20 by 5 then 4 by 5 and add the two products. A good way to build understanding of place value is with base ten blocks. These manipulatives also translate very well into paper and pencil and mental math strategies.</p></li>
<li><p>An extra digit can throw off some students but add an extra challenge to others. Always ensure that students are ready for three-digit multiplication or both you and your student will be frustrated. Three-digit multiplication worksheets require a mastery of single-digit multiplication facts and a knowledge of a multi-digit multiplication strategy that will enable students to both understand the question and get the correct answer. Four-digit multiplication was invented in 350 B.C. as a way of punishing children who stole bread from the market. Just kidding! It's actually a great challenge for students who have experienced success with their multiplication facts and have a good handle on a long multiplication strategy. What do you give students who have mastered their multiplication facts and long multiplication and who love a challenge? Look no further than five- to eight-digit multiplication. Enjoy!</p></li>
<li><p>There are no thousand separators in the numbers on the first worksheets. It makes it a little more difficult to read the numbers, but sometimes it is better not to have too many things in the way when students are learning long multiplication. The answer keys include answers with the steps shown, so students and teachers can diagnose any problems in the steps they took to answer the questions. The answers use a paper and pencil algorithm that is commonly used in the U.S. and other countries.</p></li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-1"><label for="long-multiplication-worksheets-1" class="wtitle">Long Multiplication Worksheets up to 3-Digit Numbers</label>
<div class="desc">
<a href="multiplication2/multiplication_0201_001.html" class=""><strong>2-Digit by 1-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0202_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0301_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0302_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0303_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication <span class="iedit">✎</span></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-2"><label for="long-multiplication-worksheets-2" class="wtitle">4-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_no_tseparator_0401_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0402_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0403_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_long_no_tseparator_0404_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication <span class="iedit">✎</span></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-3"><label for="long-multiplication-worksheets-3" class="wtitle">5-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_no_tseparator_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-4"><label for="long-multiplication-worksheets-4" class="wtitle">6-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_no_tseparator_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-5"><label for="long-multiplication-worksheets-5" class="wtitle">7-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_no_tseparator_0701_001.html" class=""><strong>7-Digit by 1-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0702_001.html" class=""><strong>7-Digit by 2-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0703_001.html" class=""><strong>7-Digit by 3-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0704_001.html" class=""><strong>7-Digit by 4-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0705_001.html" class=""><strong>7-Digit by 5-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0706_001.html" class=""><strong>7-Digit by 6-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0707_001.html" class=""><strong>7-Digit by 7-Digit</strong> Multiplication</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-6"><label for="long-multiplication-worksheets-6" class="wtitle">8-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_no_tseparator_0801_001.html" class=""><strong>8-Digit by 1-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0802_001.html" class=""><strong>8-Digit by 2-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0803_001.html" class=""><strong>8-Digit by 3-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0804_001.html" class=""><strong>8-Digit by 4-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0805_001.html" class=""><strong>8-Digit by 5-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0806_001.html" class=""><strong>8-Digit by 6-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0807_001.html" class=""><strong>8-Digit by 7-Digit</strong> Multiplication</a>
<a href="multiplication2/multiplication_long_no_tseparator_0808_001.html" class=""><strong>8-Digit by 8-Digit</strong> Multiplication</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-7"><label for="long-multiplication-worksheets-7" class="wtitle">Large Print Long Multiplication Worksheets up to 3-Digit Numbers</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0201_001.html" class=""><strong>2-digit by 1-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0202_001.html" class=""><strong>2-digit by 2-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0301_001.html" class=""><strong>3-digit by 1-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0302_001.html" class=""><strong>3-digit by 2-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0303_001.html" class=""><strong>3-digit by 3-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-8"><label for="long-multiplication-worksheets-8" class="wtitle">Large Print 4-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0401_001.html" class=""><strong>4-digit by 1-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0402_001.html" class=""><strong>4-digit by 2-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0403_001.html" class=""><strong>4-digit by 3-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0404_001.html" class=""><strong>4-digit by 4-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-9"><label for="long-multiplication-worksheets-9" class="wtitle">Large Print 5-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0501_001.html" class=""><strong>5-digit by 1-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0502_001.html" class=""><strong>5-digit by 2-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0503_001.html" class=""><strong>5-digit by 3-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0504_001.html" class=""><strong>5-digit by 4-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0505_001.html" class=""><strong>5-digit by 5-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-10"><label for="long-multiplication-worksheets-10" class="wtitle">Large Print 6-Digit Long Multiplication Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0601_001.html" class=""><strong>6-digit by 1-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0602_001.html" class=""><strong>6-digit by 2-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0603_001.html" class=""><strong>6-digit by 3-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0604_001.html" class=""><strong>6-digit by 4-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0605_001.html" class=""><strong>6-digit by 5-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
<a href="multiplication2/multiplication_long_largeprint_no_tseparator_0606_001.html" class=""><strong>6-digit by 6-digit</strong> Multiplication (<strong>Large Print</strong>)</a>
</div>
</li>
<li><p>Commas are included as thousands separators for the numbers on the next worksheets. Commas are used in the U.S. and other English-speaking countries as a way of making numbers easier to read. As with the other long multiplication worksheets on this page, the answer keys include the steps.</p></li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-11"><label for="long-multiplication-worksheets-11" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> Long Multiplication Worksheets up to 3-Digit Numbers with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0202_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0301_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0302_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0303_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-12"><label for="long-multiplication-worksheets-12" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> 4-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0401_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0402_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0403_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0404_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-13"><label for="long-multiplication-worksheets-13" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> 5-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-14"><label for="long-multiplication-worksheets-14" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> 6-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-15"><label for="long-multiplication-worksheets-15" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> 7-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0701_001.html" class=""><strong>7-Digit by 1-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0702_001.html" class=""><strong>7-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0703_001.html" class=""><strong>7-Digit by 3-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0704_001.html" class=""><strong>7-Digit by 4-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0705_001.html" class=""><strong>7-Digit by 5-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0706_001.html" class=""><strong>7-Digit by 6-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0707_001.html" class=""><strong>7-Digit by 7-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-16"><label for="long-multiplication-worksheets-16" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> 8-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0801_001.html" class=""><strong>8-Digit by 1-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0802_001.html" class=""><strong>8-Digit by 2-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0803_001.html" class=""><strong>8-Digit by 3-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0804_001.html" class=""><strong>8-Digit by 4-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0805_001.html" class=""><strong>8-Digit by 5-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0806_001.html" class=""><strong>8-Digit by 6-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0807_001.html" class=""><strong>8-Digit by 7-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0808_001.html" class=""><strong>8-Digit by 8-Digit</strong> Multiplication (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-17"><label for="long-multiplication-worksheets-17" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> Large Print Long Multiplication Worksheets up to 3-Digit Numbers with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0202_lp_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0301_lp_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0302_lp_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0303_lp_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-18"><label for="long-multiplication-worksheets-18" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> Large Print 4-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0401_lp_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0402_lp_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0403_lp_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_0404_lp_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-19"><label for="long-multiplication-worksheets-19" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> Large Print 5-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_largeprint_comma_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-20"><label for="long-multiplication-worksheets-20" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-us"></use></svg> Large Print 6-Digit Long Multiplication Worksheets with Comma-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_largeprint_comma_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
<a href="multiplication2/multiplication_largeprint_comma_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication (<strong>Large Print</strong>) (Comma-Separated Thousands)</a>
</div>
</li>
<li><p>Separating thousands with spaces avoids any confusion with commas and periods. Various number formats in different countries and languages use commas and periods for both decimals and thousand separators, but a space is only ever used as a thousands separator. It is more common in some countries such as Canada and France, but it is being adopted more in other parts of the world.</p></li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-21"><label for="long-multiplication-worksheets-21" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> Long Multiplication Worksheets up to 3-Digit Numbers with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0202_si_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0301_si_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0302_si_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0303_si_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-22"><label for="long-multiplication-worksheets-22" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> 4-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0401_si_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0402_si_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0403_si_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0404_si_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-23"><label for="long-multiplication-worksheets-23" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> 5-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_space_separated_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-24"><label for="long-multiplication-worksheets-24" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> 6-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_space_separated_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-25"><label for="long-multiplication-worksheets-25" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> 7-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_space_separated_0701_001.html" class=""><strong>7-Digit by 1-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0702_001.html" class=""><strong>7-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0703_001.html" class=""><strong>7-Digit by 3-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0704_001.html" class=""><strong>7-Digit by 4-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0705_001.html" class=""><strong>7-Digit by 5-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0706_001.html" class=""><strong>7-Digit by 6-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0707_001.html" class=""><strong>7-Digit by 7-Digit</strong> Multiplication (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-26"><label for="long-multiplication-worksheets-26" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> 8-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_space_separated_0801_001.html" class=""><strong>8-Digit by 1-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0802_001.html" class=""><strong>8-Digit by 2-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0803_001.html" class=""><strong>8-Digit by 3-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0804_001.html" class=""><strong>8-Digit by 4-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0805_001.html" class=""><strong>8-Digit by 5-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0806_001.html" class=""><strong>8-Digit by 6-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0807_001.html" class=""><strong>8-Digit by 7-Digit</strong> Multiplication (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_space_separated_0808_001.html" class=""><strong>8-Digit by 8-Digit</strong> Multiplication (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-27"><label for="long-multiplication-worksheets-27" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> Large Print Long Multiplication Worksheets up to 3-Digit Numbers with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0202_si_lp_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0301_si_lp_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0302_si_lp_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0303_si_lp_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-28"><label for="long-multiplication-worksheets-28" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> Large Print 4-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_0401_si_lp_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0402_si_lp_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0403_si_lp_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_0404_si_lp_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-29"><label for="long-multiplication-worksheets-29" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> Large Print 5-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_space_separated_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-30"><label for="long-multiplication-worksheets-30" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-can"></use></svg> Large Print 6-Digit Long Multiplication Worksheets with Space-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_space_separated_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_space_separated_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication (<strong>Large Print</strong>) (Space-Separated Thousands)</a>
</div>
</li>
<li><p>In some places, periods are used as thousands separators and commas are used as decimals. This is very confusing to people who are used to U.S. formatted numbers.</p></li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-31"><label for="long-multiplication-worksheets-31" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> Long Multiplication Worksheets up to 3-Digit Numbers with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_period_separated_0202_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0301_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0302_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0303_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-32"><label for="long-multiplication-worksheets-32" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> 4-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_period_separated_0401_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0402_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0403_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0404_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-33"><label for="long-multiplication-worksheets-33" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> 5-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_period_separated_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-34"><label for="long-multiplication-worksheets-34" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> 6-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_period_separated_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-35"><label for="long-multiplication-worksheets-35" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> 7-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_period_separated_0701_001.html" class=""><strong>7-Digit by 1-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0702_001.html" class=""><strong>7-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0703_001.html" class=""><strong>7-Digit by 3-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0704_001.html" class=""><strong>7-Digit by 4-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0705_001.html" class=""><strong>7-Digit by 5-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0706_001.html" class=""><strong>7-Digit by 6-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0707_001.html" class=""><strong>7-Digit by 7-Digit</strong> Multiplication (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-36"><label for="long-multiplication-worksheets-36" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> 8-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_period_separated_0801_001.html" class=""><strong>8-Digit by 1-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0802_001.html" class=""><strong>8-Digit by 2-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0803_001.html" class=""><strong>8-Digit by 3-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0804_001.html" class=""><strong>8-Digit by 4-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0805_001.html" class=""><strong>8-Digit by 5-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0806_001.html" class=""><strong>8-Digit by 6-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0807_001.html" class=""><strong>8-Digit by 7-Digit</strong> Multiplication (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_period_separated_0808_001.html" class=""><strong>8-Digit by 8-Digit</strong> Multiplication (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-37"><label for="long-multiplication-worksheets-37" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> Large Print Long Multiplication Worksheets up to 3-Digit Numbers with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_period_separated_0202_001.html" class=""><strong>2-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0301_001.html" class=""><strong>3-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0302_001.html" class=""><strong>3-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0303_001.html" class=""><strong>3-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-38"><label for="long-multiplication-worksheets-38" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> Large Print 4-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_period_separated_0401_001.html" class=""><strong>4-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0402_001.html" class=""><strong>4-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0403_001.html" class=""><strong>4-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0404_001.html" class=""><strong>4-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-39"><label for="long-multiplication-worksheets-39" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> Large Print 5-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_period_separated_0501_001.html" class=""><strong>5-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0502_001.html" class=""><strong>5-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0503_001.html" class=""><strong>5-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0504_001.html" class=""><strong>5-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0505_001.html" class=""><strong>5-Digit by 5-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="long-multiplication-worksheets-40"><label for="long-multiplication-worksheets-40" class="wtitle"><svg class="size32"><use xlink:href="includes/symbol-defs.006.svg#flag-eu"></use></svg> Large Print 6-Digit Long Multiplication Worksheets with Period-Separated Thousands</label>
<div class="desc">
<a href="multiplication2/multiplication_long_largeprint_period_separated_0601_001.html" class=""><strong>6-Digit by 1-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0602_001.html" class=""><strong>6-Digit by 2-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0603_001.html" class=""><strong>6-Digit by 3-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0604_001.html" class=""><strong>6-Digit by 4-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0605_001.html" class=""><strong>6-Digit by 5-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
<a href="multiplication2/multiplication_long_largeprint_period_separated_0606_001.html" class=""><strong>6-Digit by 6-Digit</strong> Multiplication (<strong>Large Print</strong>) (Period-Separated Thousands)</a>
</div>
</li>
</ul>
</div>
</div>
<div class="wscontainer bc01">
<div class="titlearea">
<h2 id="other-long-multiplication-strategies">Other Long Multiplication Strategies</h2>
</div>
<div class="imagearea">
<img src="multiplication2/images/multiplication_lattice_0303_001_300.004.jpg" alt="" width="250" height="324" loading="lazy">
</div>
<div class="worksheetsarea">
<ul class="list">
<li><p>Lattice, or sieve, multiplication is a great strategy for students to use to calculate long multiplication problems on pencil and paper. We've made the first step of preparing a lattice easy as the worksheets below have them pre-drawn. With a little practice, students can use graph paper or draw their own lattices freehand. The first factor is separated by place value along the top of the lattice, giving each place value its own column. The second factor is separated in the same way, but along the right side with one place value per row. The single digit column and row numbers are multiplied together and their product is written in the corresponding box, separating the tens and ones places on either side of the diagonal. Finally, the diagonal "rows" are summed and regrouped starting with the diagonal in the lower right hand corner which will only have a singl-digit in it. The answer keys we've provided should give you a good idea of how to accomplish lattice multiplication like a pro. Once students have a little practice, you might find that this is their preferred method for calculating the products of large numbers. This method is highly scalable, which means it is a straight-forward task to multiply a 10-digit by a 10-digit number, etc.</p></li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-41"><label for="other-long-multiplication-strategies-41" class="wtitle">Various-Digit Lattice Multiplication Worksheets With Lattices Included</label>
<div class="desc">
<a href="multiplication2/multiplication_lattice_0202_001.html" class="">2-Digit × 2-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0203_001.html" class="">2-Digit × 3-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0302_001.html" class="">3-Digit × 2-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0303_001.html" class="">3-Digit × 3-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0402_001.html" class="">4-Digit × 2-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0403_001.html" class="">4-Digit × 3-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0404_001.html" class="">4-Digit × 4-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0405_001.html" class="">4-Digit × 5-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0504_001.html" class="">5-Digit × 4-Digit Lattice Multiplication</a>
<a href="multiplication2/multiplication_lattice_0505_001.html" class="">5-Digit × 5-Digit Lattice Multiplication</a>
</div>
</li>
<li><p>The distributive property of multiplication allows students to "split" factors into addends to make the multiplication easier. This also helps students learn to complete multiplication mentally rather than using paper and pencil methods. Often times, the numbers are split up by place value, so 123 becomes 100 + 20 + 3. If one wanted to multiply 123 by 4, you could multiply 100 by 4, 20 by 4 and 3 by 4 to get 400, 80 and 12 which sums to 492. If you multiply a multi-digit number by a multi-digit number, you can split both numbers into place value addends. For example, 938 × 74 = (900 + 30 + 4) × (70 + 4) = (900 × 70) + (900 × 4) + (30 × 70) + (30 × 4) + (8 × 70) + (8 × 4) = 63000 + 3600 + 2100 + 120 + 560 + 32 = 69412. All of the worksheets in this section have a model question included. Of course, it might be easier to complete questions with larger numbers using box multiplication.</p></li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-42"><label for="other-long-multiplication-strategies-42" class="wtitle">Multiplication Worksheets For Learning The Distributive Property Of Multiplication</label>
<div class="desc">
<a href="multiplication2/distributive_property_0201_001.html" class=""><strong>2-Digit × 1-Digit</strong> Multiplication Using the Distributive Property <span class="iedit">✎</span></a>
<a href="multiplication2/distributive_property_0301_001.html" class=""><strong>3-Digit × 1-Digit</strong> Multiplication Using the Distributive Property <span class="iedit">✎</span></a>
<a href="multiplication2/distributive_property_0401_001.html" class=""><strong>4-Digit × 1-Digit</strong> Multiplication Using the Distributive Property <span class="iedit">✎</span></a>
<a href="multiplication2/distributive_property_0501_001.html" class=""><strong>5-Digit × 1-Digit</strong> Multiplication Using the Distributive Property <span class="iedit">✎</span></a>
<a href="multiplication2/distributive_property_0202_001.html" class=""><strong>2-Digit × 2-Digit</strong> Multiplication Using the Distributive Property <span class="iedit">✎</span></a>
<a href="multiplication2/distributive_property_0302_001.html" class=""><strong>3-Digit × 2-Digit</strong> Multiplication Using the Distributive Property <span class="iedit">✎</span></a>
</div>
</li>
<li><p>Multiplying on graph paper helps students "line up" their numbers when completing long multiplication questions. These worksheets include custom grids that have the right amount of room for one question.</p></li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-43"><label for="other-long-multiplication-strategies-43" class="wtitle">Multiplication with Grid Support</label>
<div class="desc">
<a href="multiplication2/multiplication_with_grid_0201_001.html" class=""><strong>2-Digit × 1-Digit</strong> Multiplication with Grid Support<span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0202_001.html" class=""><strong>2-Digit × 2-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0301_001.html" class=""><strong>3-Digit × 1-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0302_001.html" class=""><strong>3-Digit × 2-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0303_001.html" class=""><strong>3-Digit × 3-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0401_001.html" class=""><strong>4-Digit × 1-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0402_001.html" class=""><strong>4-Digit × 2-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0403_001.html" class=""><strong>4-Digit × 3-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0404_001.html" class=""><strong>4-Digit × 4-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0501_001.html" class=""><strong>5-Digit × 1-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0502_001.html" class=""><strong>5-Digit × 2-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0503_001.html" class=""><strong>5-Digit × 3-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0504_001.html" class=""><strong>5-Digit × 4-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_0505_001.html" class=""><strong>5-Digit × 5-Digit</strong> Multiplication with Grid Support <span class="iedit">✎</span></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-44"><label for="other-long-multiplication-strategies-44" class="wtitle">Multiplication with Grid Support (No Regrouping Boxes)</label>
<div class="desc">
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0201_001.html" class=""><strong>2-Digit × 1-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0202_001.html" class=""><strong>2-Digit × 2-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0301_001.html" class=""><strong>3-Digit × 1-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0302_001.html" class=""><strong>3-Digit × 2-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0303_001.html" class=""><strong>3-Digit × 3-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0401_001.html" class=""><strong>4-Digit × 1-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0402_001.html" class=""><strong>4-Digit × 2-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0403_001.html" class=""><strong>4-Digit × 3-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0404_001.html" class=""><strong>4-Digit × 4-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0501_001.html" class=""><strong>5-Digit × 1-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0502_001.html" class=""><strong>5-Digit × 2-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0503_001.html" class=""><strong>5-Digit × 3-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0504_001.html" class=""><strong>5-Digit × 4-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_noregroupboxes_0505_001.html" class=""><strong>5-Digit × 5-Digit</strong> Multiplication with Grid Support (No Regrouping Boxes) <span class="iedit">✎</span></a>
</div>
</li>
<li><p>In case you or your students want to make up your own questions, these blanks should expedite the process.</p></li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-45"><label for="other-long-multiplication-strategies-45" class="wtitle">Multiplication with Grid Support Blanks</label>
<div class="desc">
<a href="multiplication2/multiplication_with_grid_blank_0201_001.html" class=""><strong>2-Digit × 1-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0202_001.html" class=""><strong>2-Digit × 2-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0301_001.html" class=""><strong>3-Digit × 1-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0302_001.html" class=""><strong>3-Digit × 2-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0303_001.html" class=""><strong>3-Digit × 3-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0401_001.html" class=""><strong>4-Digit × 1-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0402_001.html" class=""><strong>4-Digit × 2-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0403_001.html" class=""><strong>4-Digit × 3-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0404_001.html" class=""><strong>4-Digit × 4-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0501_001.html" class=""><strong>5-Digit × 1-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0502_001.html" class=""><strong>5-Digit × 2-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0503_001.html" class=""><strong>5-Digit × 3-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0504_001.html" class=""><strong>5-Digit × 4-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
<a href="multiplication2/multiplication_with_grid_blank_0505_001.html" class=""><strong>5-Digit × 5-Digit</strong> Multiplication with Grid Support Blanks <span class="iedit">✎</span></a>
</div>
</li>
<li><p>The halving and doubling strategy is accomplished very much in the same way as its name. Simply halve one number and double the other then multiply. In many cases, this makes the multiplication of two numbers easier to accomplish mentally. This strategy is not for every multiplication problem, but it certainly works well if certain numbers are involved. For example, doubling a 5 results in a 10 which most people would have an easier time multiplying. Of course, this would rely on the other factor being easily halved. 5 × 72, using the halving and doubling strategy (doubling the first number and halving the second in this case) results in 10 × 36 = 360. Practicing with the worksheets in this section will help students become more familiar with cases in which this strategy would be used.</p></li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-46"><label for="other-long-multiplication-strategies-46" class="wtitle">Halving and Doubling Multiplication Strategy Worksheets</label>
<div class="desc">
<a href="multiplication/multiplication_halving_doubling_easier_001.html" class="">Halving and Doubling Strategy with Easier Numbers</a>
<a href="multiplication/multiplication_halving_doubling_harder_001.html" class="">Halving and Doubling Strategy with Harder Numbers</a>
</div>
</li>
<li><p>Multiplying numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers.</p></li>
<li><input type="checkbox" class="list-checkbox" id="other-long-multiplication-strategies-47"><label for="other-long-multiplication-strategies-47" class="wtitle">Multiplying in Other Base Number Systems Worksheets</label>
<div class="desc">
<a href="multiplication2/multiplying_base_system_02_binary_001.html" class="">Multiplying <strong>Binary</strong> Numbers (Base 2)</a>
<a href="multiplication2/multiplying_base_system_03_ternary_001.html" class="">Multiplying <strong>Ternary</strong> Numbers (Base 3)</a>
<a href="multiplication2/multiplying_base_system_04_quaternary_001.html" class="">Multiplying <strong>Quaternary</strong> Numbers (Base 4)</a>
<a href="multiplication2/multiplying_base_system_05_quinary_001.html" class="">Multiplying <strong>Quinary</strong> Numbers (Base 5)</a>
<a href="multiplication2/multiplying_base_system_06_senary_001.html" class="">Multiplying <strong>Senary</strong> Numbers (Base 6)</a>
<a href="multiplication2/multiplying_base_system_08_octal_001.html" class="">Multiplying <strong>Octal</strong> Numbers (Base 8)</a>
<a href="multiplication2/multiplying_base_system_12_duodecimal_001.html" class="">Multiplying <strong>Duodecimal</strong> Numbers (Base 12)</a>
<a href="multiplication2/multiplying_base_system_16_hexadecimal_001.html" class="">Multiplying <strong>Hexadecimal</strong> Numbers (Base 16)</a>
<a href="multiplication2/multiplying_base_system_20_vigesimal_001.html" class="">Multiplying <strong>Vigesimal</strong> Numbers (Base 20)</a>
<a href="multiplication2/multiplying_base_system_36_hexatrigesimal_001.html" class="">Multiplying <strong>Hexatrigesimal</strong> Numbers (Base 36)</a>
<a href="multiplication2/multiplying_base_system_00_various_001.html" class="">Multiplying <strong>Various</strong> Numbers (Various Bases)</a>
</div>
</li>
</ul>
</div>
</div>
</div> <!-- End of Content Div -->
<div class="footer">
<p><img src="images/math-drills-footer.001.svg" alt="Math-Drills Logo" loading="lazy" width="940" height="347"></p>
<p class="pwhite">
Copyright © 2005-2024 <span itemprop="brand" itemscope itemtype="http://schema.org/Brand">
<span itemprop="name">Math-Drills.com</span></span>
<br>
You may use the math worksheets on this website according to our Terms of Use to help students learn math.
</p>
</div>
<script>
function openWNav() {
var x = document.getElementById("worksheetnav");
if (x.style.display === "none" || x.style.display === "") {x.style.display = "flex";} else {x.style.display = "none";}
}
</script>
</body>
<!-- Mirrored from math-drills.com/multiplication2.php by HTTrack Website Copier/3.x [XR&CO'2014], Fri, 30 Aug 2024 17:48:23 GMT -->
</html>