3- and 4-Digit Multiplication With Regrouping practice worksheet from SplashLearn.
Worksheet for 3- and 4-digit multiplication with regrouping, featuring multiple multiplication problems with blank spaces for answers.
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Show Answer Key & Explanations
Step-by-step solution for: Multiply 3-Digit by 4-Digit with Regrouping - Math Worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiply 3-Digit by 4-Digit with Regrouping - Math Worksheets ...
Explanation:
Let's solve each multiplication problem step by step. We'll multiply the top number (the multiplicand) by the bottom number (the multiplier), starting from the rightmost digit and moving left. We need to regroup (carry over) when the product is 10 or more.
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1. 164 × 5
- 4 × 5 = 20 → write 0, carry 2
- 6 × 5 = 30, plus 2 = 32 → write 2, carry 3
- 1 × 5 = 5, plus 3 = 8
→ 820
2. 248 × 3
- 8 × 3 = 24 → write 4, carry 2
- 4 × 3 = 12, plus 2 = 14 → write 4, carry 1
- 2 × 3 = 6, plus 1 = 7
→ 744
3. 148 × 4
- 8 × 4 = 32 → write 2, carry 3
- 4 × 4 = 16, plus 3 = 19 → write 9, carry 1
- 1 × 4 = 4, plus 1 = 5
→ 592
4. 524 × 6
- 4 × 6 = 24 → write 4, carry 2
- 2 × 6 = 12, plus 2 = 14 → write 4, carry 1
- 5 × 6 = 30, plus 1 = 31
→ 3144
5. 624 × 8
- 4 × 8 = 32 → write 2, carry 3
- 2 × 8 = 16, plus 3 = 19 → write 9, carry 1
- 6 × 8 = 48, plus 1 = 49
→ 4992
6. 364 × 4
- 4 × 4 = 16 → write 6, carry 1
- 6 × 4 = 24, plus 1 = 25 → write 5, carry 2
- 3 × 4 = 12, plus 2 = 14
→ 1456
7. 729 × 5
- 9 × 5 = 45 → write 5, carry 4
- 2 × 5 = 10, plus 4 = 14 → write 4, carry 1
- 7 × 5 = 35, plus 1 = 36
→ 3645
8. 345 × 5
- 5 × 5 = 25 → write 5, carry 2
- 4 × 5 = 20, plus 2 = 22 → write 2, carry 2
- 3 × 5 = 15, plus 2 = 17
→ 1725
9. 248 × 4
- 8 × 4 = 32 → write 2, carry 3
- 4 × 4 = 16, plus 3 = 19 → write 9, carry 1
- 2 × 4 = 8, plus 1 = 9
→ 992
10. 225 × 5
- 5 × 5 = 25 → write 5, carry 2
- 2 × 5 = 10, plus 2 = 12 → write 2, carry 1
- 2 × 5 = 10, plus 1 = 11
→ 1125
11. 428 × 2
- 8 × 2 = 16 → write 6, carry 1
- 2 × 2 = 4, plus 1 = 5 → write 5
- 4 × 2 = 8 → write 8
→ 856
12. 853 × 7
- 3 × 7 = 21 → write 1, carry 2
- 5 × 7 = 35, plus 2 = 37 → write 7, carry 3
- 8 × 7 = 56, plus 3 = 59
→ 5971
13. 2438 × 4
- 8 × 4 = 32 → write 2, carry 3
- 3 × 4 = 12, plus 3 = 15 → write 5, carry 1
- 4 × 4 = 16, plus 1 = 17 → write 7, carry 1
- 2 × 4 = 8, plus 1 = 9
→ 9752
14. 2134 × 3
- 4 × 3 = 12 → write 2, carry 1
- 3 × 3 = 9, plus 1 = 10 → write 0, carry 1
- 1 × 3 = 3, plus 1 = 4 → write 4
- 2 × 3 = 6 → write 6
→ 6402
15. 6264 × 5
- 4 × 5 = 20 → write 0, carry 2
- 6 × 5 = 30, plus 2 = 32 → write 2, carry 3
- 6 × 5 = 30, plus 3 = 33 → write 3, carry 3
- 2 × 5 = 10, plus 3 = 13 → write 3, carry 1
- 6 × 5 = 30, plus 1 = 31 → write 31
→ 31320
16. 5226 × 8
- 6 × 8 = 48 → write 8, carry 4
- 2 × 8 = 16, plus 4 = 20 → write 0, carry 2
- 2 × 8 = 16, plus 2 = 18 → write 8, carry 1
- 5 × 8 = 40, plus 1 = 41 → write 41
→ 41808
17. 3124 × 6
- 4 × 6 = 24 → write 4, carry 2
- 2 × 6 = 12, plus 2 = 14 → write 4, carry 1
- 1 × 6 = 6, plus 1 = 7 → write 7
- 3 × 6 = 18 → write 18
→ 18744
18. 5526 × 7
- 6 × 7 = 42 → write 2, carry 4
- 2 × 7 = 14, plus 4 = 18 → write 8, carry 1
- 5 × 7 = 35, plus 1 = 36 → write 6, carry 3
- 5 × 7 = 35, plus 3 = 38 → write 38
→ 38682
19. 2527 × 5
- 7 × 5 = 35 → write 5, carry 3
- 2 × 5 = 10, plus 3 = 13 → write 3, carry 1
- 5 × 5 = 25, plus 1 = 26 → write 6, carry 2
- 2 × 5 = 10, plus 2 = 12 → write 12
→ 12635
20. 2075 × 8
- 5 × 8 = 40 → write 0, carry 4
- 7 × 8 = 56, plus 4 = 60 → write 0, carry 6
- 0 × 8 = 0, plus 6 = 6 → write 6
- 2 × 8 = 16 → write 16
→ 16600
Final Answer:
820, 744, 592, 3144, 4992, 1456, 3645, 1725, 992, 1125, 856, 5971, 9752, 6402, 31320, 41808, 18744, 38682, 12635, 16600
Let's solve each multiplication problem step by step. We'll multiply the top number (the multiplicand) by the bottom number (the multiplier), starting from the rightmost digit and moving left. We need to regroup (carry over) when the product is 10 or more.
---
1. 164 × 5
- 4 × 5 = 20 → write 0, carry 2
- 6 × 5 = 30, plus 2 = 32 → write 2, carry 3
- 1 × 5 = 5, plus 3 = 8
→ 820
2. 248 × 3
- 8 × 3 = 24 → write 4, carry 2
- 4 × 3 = 12, plus 2 = 14 → write 4, carry 1
- 2 × 3 = 6, plus 1 = 7
→ 744
3. 148 × 4
- 8 × 4 = 32 → write 2, carry 3
- 4 × 4 = 16, plus 3 = 19 → write 9, carry 1
- 1 × 4 = 4, plus 1 = 5
→ 592
4. 524 × 6
- 4 × 6 = 24 → write 4, carry 2
- 2 × 6 = 12, plus 2 = 14 → write 4, carry 1
- 5 × 6 = 30, plus 1 = 31
→ 3144
5. 624 × 8
- 4 × 8 = 32 → write 2, carry 3
- 2 × 8 = 16, plus 3 = 19 → write 9, carry 1
- 6 × 8 = 48, plus 1 = 49
→ 4992
6. 364 × 4
- 4 × 4 = 16 → write 6, carry 1
- 6 × 4 = 24, plus 1 = 25 → write 5, carry 2
- 3 × 4 = 12, plus 2 = 14
→ 1456
7. 729 × 5
- 9 × 5 = 45 → write 5, carry 4
- 2 × 5 = 10, plus 4 = 14 → write 4, carry 1
- 7 × 5 = 35, plus 1 = 36
→ 3645
8. 345 × 5
- 5 × 5 = 25 → write 5, carry 2
- 4 × 5 = 20, plus 2 = 22 → write 2, carry 2
- 3 × 5 = 15, plus 2 = 17
→ 1725
9. 248 × 4
- 8 × 4 = 32 → write 2, carry 3
- 4 × 4 = 16, plus 3 = 19 → write 9, carry 1
- 2 × 4 = 8, plus 1 = 9
→ 992
10. 225 × 5
- 5 × 5 = 25 → write 5, carry 2
- 2 × 5 = 10, plus 2 = 12 → write 2, carry 1
- 2 × 5 = 10, plus 1 = 11
→ 1125
11. 428 × 2
- 8 × 2 = 16 → write 6, carry 1
- 2 × 2 = 4, plus 1 = 5 → write 5
- 4 × 2 = 8 → write 8
→ 856
12. 853 × 7
- 3 × 7 = 21 → write 1, carry 2
- 5 × 7 = 35, plus 2 = 37 → write 7, carry 3
- 8 × 7 = 56, plus 3 = 59
→ 5971
13. 2438 × 4
- 8 × 4 = 32 → write 2, carry 3
- 3 × 4 = 12, plus 3 = 15 → write 5, carry 1
- 4 × 4 = 16, plus 1 = 17 → write 7, carry 1
- 2 × 4 = 8, plus 1 = 9
→ 9752
14. 2134 × 3
- 4 × 3 = 12 → write 2, carry 1
- 3 × 3 = 9, plus 1 = 10 → write 0, carry 1
- 1 × 3 = 3, plus 1 = 4 → write 4
- 2 × 3 = 6 → write 6
→ 6402
15. 6264 × 5
- 4 × 5 = 20 → write 0, carry 2
- 6 × 5 = 30, plus 2 = 32 → write 2, carry 3
- 6 × 5 = 30, plus 3 = 33 → write 3, carry 3
- 2 × 5 = 10, plus 3 = 13 → write 3, carry 1
- 6 × 5 = 30, plus 1 = 31 → write 31
→ 31320
16. 5226 × 8
- 6 × 8 = 48 → write 8, carry 4
- 2 × 8 = 16, plus 4 = 20 → write 0, carry 2
- 2 × 8 = 16, plus 2 = 18 → write 8, carry 1
- 5 × 8 = 40, plus 1 = 41 → write 41
→ 41808
17. 3124 × 6
- 4 × 6 = 24 → write 4, carry 2
- 2 × 6 = 12, plus 2 = 14 → write 4, carry 1
- 1 × 6 = 6, plus 1 = 7 → write 7
- 3 × 6 = 18 → write 18
→ 18744
18. 5526 × 7
- 6 × 7 = 42 → write 2, carry 4
- 2 × 7 = 14, plus 4 = 18 → write 8, carry 1
- 5 × 7 = 35, plus 1 = 36 → write 6, carry 3
- 5 × 7 = 35, plus 3 = 38 → write 38
→ 38682
19. 2527 × 5
- 7 × 5 = 35 → write 5, carry 3
- 2 × 5 = 10, plus 3 = 13 → write 3, carry 1
- 5 × 5 = 25, plus 1 = 26 → write 6, carry 2
- 2 × 5 = 10, plus 2 = 12 → write 12
→ 12635
20. 2075 × 8
- 5 × 8 = 40 → write 0, carry 4
- 7 × 8 = 56, plus 4 = 60 → write 0, carry 6
- 0 × 8 = 0, plus 6 = 6 → write 6
- 2 × 8 = 16 → write 16
→ 16600
Final Answer:
820, 744, 592, 3144, 4992, 1456, 3645, 1725, 992, 1125, 856, 5971, 9752, 6402, 31320, 41808, 18744, 38682, 12635, 16600
Parent Tip: Review the logic above to help your child master the concept of multiplication with regrouping worksheet.
