Winter 4-Digit By 3-Digit Multiplication Division|Missing, 60% OFF - Free Printable
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Step-by-step solution for: Winter 4-Digit By 3-Digit Multiplication Division|Missing, 60% OFF
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Show Answer Key & Explanations
Step-by-step solution for: Winter 4-Digit By 3-Digit Multiplication Division|Missing, 60% OFF
Let’s solve each multiplication problem one by one. I’ll go row by row, left to right, and calculate each product carefully.
---
Row 1:
1. 954 × 694
Let’s break it down:
954 × 700 = 667,800
But we multiplied by 700 instead of 694 → that’s 6 too many.
So subtract 954 × 6 = 5,724
667,800 - 5,724 = 662,076
2. 732 × 498
Think of 498 as 500 - 2
732 × 500 = 366,000
732 × 2 = 1,464
366,000 - 1,464 = 364,536
3. 523 × 287
Let’s do standard multiplication:
523 × 200 = 104,600
523 × 80 = 41,840
523 × 7 = 3,661
Add them: 104,600 + 41,840 = 146,440; +3,661 = 150,101
4. 309 × 954
Switch order (easier): 954 × 309
954 × 300 = 286,200
954 × 9 = 8,586
Total: 286,200 + 8,586 = 294,786
5. 176 × 722
Break 722 into 700 + 20 + 2
176 × 700 = 123,200
176 × 20 = 3,520
176 × 2 = 352
Sum: 123,200 + 3,520 = 126,720; +352 = 127,072
6. 854 × 590
Note: 590 = 59 × 10 → so multiply 854 × 59 then add a zero
854 × 60 = 51,240 → minus 854 = 51,240 - 854 = 50,386
Then ×10 → 503,860
---
Row 2:
7. 387 × 981
Use 981 = 1000 - 19
387 × 1000 = 387,000
387 × 19 = ?
387 × 20 = 7,740 → minus 387 = 7,353
So 387,000 - 7,353 = 379,647
8. 144 × 104
104 = 100 + 4
144 × 100 = 14,400
144 × 4 = 576
Total: 14,400 + 576 = 14,976
9. 865 × 398
398 = 400 - 2
865 × 400 = 346,000
865 × 2 = 1,730
346,000 - 1,730 = 344,270
10. 698 × 574
Let’s compute step by step:
698 × 500 = 349,000
698 × 70 = 48,860
698 × 4 = 2,792
Add: 349,000 + 48,860 = 397,860; +2,792 = 400,652
11. 487 × 770
770 = 77 × 10 → compute 487 × 77 then ×10
487 × 70 = 34,090
487 × 7 = 3,409
Sum: 34,090 + 3,409 = 37,499 → ×10 = 374,990
12. 276 × 999
999 = 1000 - 1
276 × 1000 = 276,000
Minus 276 → 275,724
---
Row 3:
13. 765 × 444
Break 444 = 400 + 40 + 4
765 × 400 = 306,000
765 × 40 = 30,600
765 × 4 = 3,060
Sum: 306,000 + 30,600 = 336,600; +3,060 = 339,660
14. 555 × 222
Notice pattern: 555 × 222 = (5×111) × (2×111) = 10 × 111²
111² = 12,321 → ×10 = 123,210
Or directly:
555 × 200 = 111,000
555 × 20 = 11,100
555 × 2 = 1,110
Sum: 111,000 + 11,100 = 122,100; +1,110 = 123,210
15. 332 × 987
987 = 1000 - 13
332 × 1000 = 332,000
332 × 13 = 332×10 + 332×3 = 3,320 + 996 = 4,316
332,000 - 4,316 = 327,684
16. 111 × 765
Same as 765 × 111 → easy!
765 × 100 = 76,500
765 × 10 = 7,650
765 × 1 = 765
Sum: 76,500 + 7,650 = 84,150; +765 = 84,915
17. 876 × 989
989 = 1000 - 11
876 × 1000 = 876,000
876 × 11 = 876×10 + 876 = 8,760 + 876 = 9,636
876,000 - 9,636 = 866,364
18. 654 × 755
Break 755 = 700 + 50 + 5
654 × 700 = 457,800
654 × 50 = 32,700
654 × 5 = 3,270
Sum: 457,800 + 32,700 = 490,500; +3,270 = 493,770
---
Row 4:
19. 543 × 200 = 108,600 (just add two zeros to 543×2=1086)
20. 765 × 455
Break 455 = 400 + 50 + 5
765 × 400 = 306,000
765 × 50 = 38,250
765 × 5 = 3,825
Sum: 306,000 + 38,250 = 344,250; +3,825 = 348,075
21. 987 × 698
698 = 700 - 2
987 × 700 = 690,900
987 × 2 = 1,974
690,900 - 1,974 = 688,926
22. 232 × 897
897 = 900 - 3
232 × 900 = 208,800
232 × 3 = 696
208,800 - 696 = 208,104
23. 343 × 165
Break 165 = 100 + 60 + 5
343 × 100 = 34,300
343 × 60 = 20,580
343 × 5 = 1,715
Sum: 34,300 + 20,580 = 54,880; +1,715 = 56,595
24. 554 × 376
Let’s do:
554 × 300 = 166,200
554 × 70 = 38,780
554 × 6 = 3,324
Sum: 166,200 + 38,780 = 204,980; +3,324 = 208,304
---
Row 5:
25. 987 × 554
Break 554 = 500 + 50 + 4
987 × 500 = 493,500
987 × 50 = 49,350
987 × 4 = 3,948
Sum: 493,500 + 49,350 = 542,850; +3,948 = 546,798
26. 739 × 776
This is big — let’s use:
739 × 700 = 517,300
739 × 70 = 51,730
739 × 6 = 4,434
Sum: 517,300 + 51,730 = 569,030; +4,434 = 573,464
27. 593 × 909
909 = 900 + 9
593 × 900 = 533,700
593 × 9 = 5,337
Sum: 533,700 + 5,337 = 539,037
28. 329 × 277
Break 277 = 200 + 70 + 7
329 × 200 = 65,800
329 × 70 = 23,030
329 × 7 = 2,303
Sum: 65,800 + 23,030 = 88,830; +2,303 = 91,133
29. 713 × 487
Break 487 = 400 + 80 + 7
713 × 400 = 285,200
713 × 80 = 57,040
713 × 7 = 4,991
Sum: 285,200 + 57,040 = 342,240; +4,991 = 347,231
30. 888 × 654
Break 654 = 600 + 50 + 4
888 × 600 = 532,800
888 × 50 = 44,400
888 × 4 = 3,552
Sum: 532,800 + 44,400 = 577,200; +3,552 = 580,752
---
Row 6:
31. 332 × 332 → same number squared
332² = (300+32)² = 300² + 2×300×32 + 32²
= 90,000 + 19,200 + 1,024 = 110,224
32. 569 × 576
Let’s do:
569 × 500 = 284,500
569 × 70 = 39,830
569 × 6 = 3,414
Sum: 284,500 + 39,830 = 324,330; +3,414 = 327,744
33. 765 × 764
Close numbers — use (a)(a-1) = a² - a
765² = ?
700² = 490,000
2×700×65 = 91,000
65² = 4,225
So 765² = 490,000 + 91,000 = 581,000 + 4,225 = 585,225
Then 765 × 764 = 585,225 - 765 = 584,460
34. 974 × 907
Break 907 = 900 + 7
974 × 900 = 876,600
974 × 7 = 6,818
Sum: 876,600 + 6,818 = 883,418
35. 166 × 932
Break 932 = 900 + 30 + 2
166 × 900 = 149,400
166 × 30 = 4,980
166 × 2 = 332
Sum: 149,400 + 4,980 = 154,380; +332 = 154,712
36. 332 × 112
112 = 100 + 10 + 2
332 × 100 = 33,200
332 × 10 = 3,320
332 × 2 = 664
Sum: 33,200 + 3,320 = 36,520; +664 = 37,184
---
Now, compiling all answers in order:
Final Answer:
662076, 364536, 150101, 294786, 127072, 503860,
379647, 14976, 344270, 400652, 374990, 275724,
339660, 123210, 327684, 84915, 866364, 493770,
108600, 348075, 688926, 208104, 56595, 208304,
546798, 573464, 539037, 91133, 347231, 580752,
110224, 327744, 584460, 883418, 154712, 37184
---
Row 1:
1. 954 × 694
Let’s break it down:
954 × 700 = 667,800
But we multiplied by 700 instead of 694 → that’s 6 too many.
So subtract 954 × 6 = 5,724
667,800 - 5,724 = 662,076
2. 732 × 498
Think of 498 as 500 - 2
732 × 500 = 366,000
732 × 2 = 1,464
366,000 - 1,464 = 364,536
3. 523 × 287
Let’s do standard multiplication:
523 × 200 = 104,600
523 × 80 = 41,840
523 × 7 = 3,661
Add them: 104,600 + 41,840 = 146,440; +3,661 = 150,101
4. 309 × 954
Switch order (easier): 954 × 309
954 × 300 = 286,200
954 × 9 = 8,586
Total: 286,200 + 8,586 = 294,786
5. 176 × 722
Break 722 into 700 + 20 + 2
176 × 700 = 123,200
176 × 20 = 3,520
176 × 2 = 352
Sum: 123,200 + 3,520 = 126,720; +352 = 127,072
6. 854 × 590
Note: 590 = 59 × 10 → so multiply 854 × 59 then add a zero
854 × 60 = 51,240 → minus 854 = 51,240 - 854 = 50,386
Then ×10 → 503,860
---
Row 2:
7. 387 × 981
Use 981 = 1000 - 19
387 × 1000 = 387,000
387 × 19 = ?
387 × 20 = 7,740 → minus 387 = 7,353
So 387,000 - 7,353 = 379,647
8. 144 × 104
104 = 100 + 4
144 × 100 = 14,400
144 × 4 = 576
Total: 14,400 + 576 = 14,976
9. 865 × 398
398 = 400 - 2
865 × 400 = 346,000
865 × 2 = 1,730
346,000 - 1,730 = 344,270
10. 698 × 574
Let’s compute step by step:
698 × 500 = 349,000
698 × 70 = 48,860
698 × 4 = 2,792
Add: 349,000 + 48,860 = 397,860; +2,792 = 400,652
11. 487 × 770
770 = 77 × 10 → compute 487 × 77 then ×10
487 × 70 = 34,090
487 × 7 = 3,409
Sum: 34,090 + 3,409 = 37,499 → ×10 = 374,990
12. 276 × 999
999 = 1000 - 1
276 × 1000 = 276,000
Minus 276 → 275,724
---
Row 3:
13. 765 × 444
Break 444 = 400 + 40 + 4
765 × 400 = 306,000
765 × 40 = 30,600
765 × 4 = 3,060
Sum: 306,000 + 30,600 = 336,600; +3,060 = 339,660
14. 555 × 222
Notice pattern: 555 × 222 = (5×111) × (2×111) = 10 × 111²
111² = 12,321 → ×10 = 123,210
Or directly:
555 × 200 = 111,000
555 × 20 = 11,100
555 × 2 = 1,110
Sum: 111,000 + 11,100 = 122,100; +1,110 = 123,210
15. 332 × 987
987 = 1000 - 13
332 × 1000 = 332,000
332 × 13 = 332×10 + 332×3 = 3,320 + 996 = 4,316
332,000 - 4,316 = 327,684
16. 111 × 765
Same as 765 × 111 → easy!
765 × 100 = 76,500
765 × 10 = 7,650
765 × 1 = 765
Sum: 76,500 + 7,650 = 84,150; +765 = 84,915
17. 876 × 989
989 = 1000 - 11
876 × 1000 = 876,000
876 × 11 = 876×10 + 876 = 8,760 + 876 = 9,636
876,000 - 9,636 = 866,364
18. 654 × 755
Break 755 = 700 + 50 + 5
654 × 700 = 457,800
654 × 50 = 32,700
654 × 5 = 3,270
Sum: 457,800 + 32,700 = 490,500; +3,270 = 493,770
---
Row 4:
19. 543 × 200 = 108,600 (just add two zeros to 543×2=1086)
20. 765 × 455
Break 455 = 400 + 50 + 5
765 × 400 = 306,000
765 × 50 = 38,250
765 × 5 = 3,825
Sum: 306,000 + 38,250 = 344,250; +3,825 = 348,075
21. 987 × 698
698 = 700 - 2
987 × 700 = 690,900
987 × 2 = 1,974
690,900 - 1,974 = 688,926
22. 232 × 897
897 = 900 - 3
232 × 900 = 208,800
232 × 3 = 696
208,800 - 696 = 208,104
23. 343 × 165
Break 165 = 100 + 60 + 5
343 × 100 = 34,300
343 × 60 = 20,580
343 × 5 = 1,715
Sum: 34,300 + 20,580 = 54,880; +1,715 = 56,595
24. 554 × 376
Let’s do:
554 × 300 = 166,200
554 × 70 = 38,780
554 × 6 = 3,324
Sum: 166,200 + 38,780 = 204,980; +3,324 = 208,304
---
Row 5:
25. 987 × 554
Break 554 = 500 + 50 + 4
987 × 500 = 493,500
987 × 50 = 49,350
987 × 4 = 3,948
Sum: 493,500 + 49,350 = 542,850; +3,948 = 546,798
26. 739 × 776
This is big — let’s use:
739 × 700 = 517,300
739 × 70 = 51,730
739 × 6 = 4,434
Sum: 517,300 + 51,730 = 569,030; +4,434 = 573,464
27. 593 × 909
909 = 900 + 9
593 × 900 = 533,700
593 × 9 = 5,337
Sum: 533,700 + 5,337 = 539,037
28. 329 × 277
Break 277 = 200 + 70 + 7
329 × 200 = 65,800
329 × 70 = 23,030
329 × 7 = 2,303
Sum: 65,800 + 23,030 = 88,830; +2,303 = 91,133
29. 713 × 487
Break 487 = 400 + 80 + 7
713 × 400 = 285,200
713 × 80 = 57,040
713 × 7 = 4,991
Sum: 285,200 + 57,040 = 342,240; +4,991 = 347,231
30. 888 × 654
Break 654 = 600 + 50 + 4
888 × 600 = 532,800
888 × 50 = 44,400
888 × 4 = 3,552
Sum: 532,800 + 44,400 = 577,200; +3,552 = 580,752
---
Row 6:
31. 332 × 332 → same number squared
332² = (300+32)² = 300² + 2×300×32 + 32²
= 90,000 + 19,200 + 1,024 = 110,224
32. 569 × 576
Let’s do:
569 × 500 = 284,500
569 × 70 = 39,830
569 × 6 = 3,414
Sum: 284,500 + 39,830 = 324,330; +3,414 = 327,744
33. 765 × 764
Close numbers — use (a)(a-1) = a² - a
765² = ?
700² = 490,000
2×700×65 = 91,000
65² = 4,225
So 765² = 490,000 + 91,000 = 581,000 + 4,225 = 585,225
Then 765 × 764 = 585,225 - 765 = 584,460
34. 974 × 907
Break 907 = 900 + 7
974 × 900 = 876,600
974 × 7 = 6,818
Sum: 876,600 + 6,818 = 883,418
35. 166 × 932
Break 932 = 900 + 30 + 2
166 × 900 = 149,400
166 × 30 = 4,980
166 × 2 = 332
Sum: 149,400 + 4,980 = 154,380; +332 = 154,712
36. 332 × 112
112 = 100 + 10 + 2
332 × 100 = 33,200
332 × 10 = 3,320
332 × 2 = 664
Sum: 33,200 + 3,320 = 36,520; +664 = 37,184
---
Now, compiling all answers in order:
Final Answer:
662076, 364536, 150101, 294786, 127072, 503860,
379647, 14976, 344270, 400652, 374990, 275724,
339660, 123210, 327684, 84915, 866364, 493770,
108600, 348075, 688926, 208104, 56595, 208304,
546798, 573464, 539037, 91133, 347231, 580752,
110224, 327744, 584460, 883418, 154712, 37184
Parent Tip: Review the logic above to help your child master the concept of 3 digit by 3 digit multiplication worksheet.
