5-Digit by 3-Digit Multiplication (A) Answers math worksheet with detailed solutions for multiplication problems.
5-Digit by 3-Digit Multiplication (A) Answers worksheet with math problems and solutions, including multiplication of large numbers and step-by-step calculations.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying 5-Digit by 3-Digit Numbers (A)
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying 5-Digit by 3-Digit Numbers (A)
Let’s solve each multiplication problem step by step. We’ll multiply the 5-digit number by the 3-digit number, breaking it down into parts (multiplying by hundreds, tens, and ones), then add them up.
---
Problem 1: 28523 × 513
Break 513 into 500 + 10 + 3
- 28523 × 3 = 85569
- 28523 × 10 = 285230
- 28523 × 500 = 14261500
Add them:
85569
285230
+14261500
= 14632299
✔ Matches answer key.
---
Problem 2: 66390 × 551
Break 551 into 500 + 50 + 1
- 66390 × 1 = 66390
- 66390 × 50 = 3319500
- 66390 × 500 = 33195000
Add:
66390
3319500
+33195000
= 36580890
✔ Matches.
---
Problem 3: 59917 × 399
Break 399 into 300 + 90 + 9
- 59917 × 9 = 539253
- 59917 × 90 = 5392530
- 59917 × 300 = 17975100
Add:
539253
5392530
+17975100
= 23906883
✔ Matches.
---
Problem 4: 51518 × 604
Break 604 into 600 + 0 + 4 → but better as 600 + 4 (since middle digit is 0)
- 51518 × 4 = 206072
- 51518 × 600 = 30910800
Add:
206072
+30910800
= 31116872
✔ Matches.
---
Problem 5: 31905 × 468
Break 468 into 400 + 60 + 8
- 31905 × 8 = 255240
- 31905 × 60 = 1914300
- 31905 × 400 = 12762000
Add:
255240
1914300
+12762000
= 14931540
✔ Matches.
---
Problem 6: 24693 × 744
Break 744 into 700 + 40 + 4
- 24693 × 4 = 98772
- 24693 × 40 = 987720
- 24693 × 700 = 17285100
Add:
98772
987720
+17285100
= 18371592
✔ Matches.
---
Problem 7: 63215 × 287
Break 287 into 200 + 80 + 7
- 63215 × 7 = 442505
- 63215 × 80 = 5057200
- 63215 × 200 = 12643000
Add:
442505
5057200
+12643000
= 18142705
✔ Matches.
---
Problem 8: 22526 × 436
Break 436 into 400 + 30 + 6
- 22526 × 6 = 135156
- 22526 × 30 = 675780
- 22526 × 400 = 9010400
Add:
135156
675780
+9010400
= 9821336
✔ Matches.
---
Problem 9: 76508 × 312
Break 312 into 300 + 10 + 2
- 76508 × 2 = 153016
- 76508 × 10 = 765080
- 76508 × 300 = 22952400
Add:
153016
765080
+22952400
= 23870496
✔ Matches.
---
Problem 10: 46499 × 851
Break 851 into 800 + 50 + 1
- 46499 × 1 = 46499
- 46499 × 50 = 2324950
- 46499 × 800 = 37199200
Add:
46499
2324950
+37199200
= 39570649
✔ Matches.
---
Problem 11: 77695 × 857
Break 857 into 800 + 50 + 7
- 77695 × 7 = 543865
- 77695 × 50 = 3884750
- 77695 × 800 = 62156000
Add:
543865
3884750
+62156000
= 66584615
✔ Matches.
---
Problem 12: 40466 × 602
Break 602 into 600 + 0 + 2 → use 600 + 2
- 40466 × 2 = 80932
- 40466 × 600 = 24279600
Add:
80932
+24279600
= 24360532
✔ Matches.
---
Problem 13: 31100 × 495
Break 495 into 400 + 90 + 5
- 31100 × 5 = 155500
- 31100 × 90 = 2799000
- 31100 × 400 = 12440000
Add:
155500
2799000
+12440000
= 15394500
✔ Matches.
---
Problem 14: 98037 × 817
Break 817 into 800 + 10 + 7
- 98037 × 7 = 686259
- 98037 × 10 = 980370
- 98037 × 800 = 78429600
Add:
686259
980370
+78429600
= 80096229
✔ Matches.
---
Problem 15: 68046 × 659
Break 659 into 600 + 50 + 9
- 68046 × 9 = 612414
- 68046 × 50 = 3402300
- 68046 × 600 = 40827600
Add:
612414
3402300
+40827600
= 44842314
✔ Matches.
---
Problem 16: 59542 × 936
Break 936 into 900 + 30 + 6
- 59542 × 6 = 357252
- 59542 × 30 = 1786260
- 59542 × 900 = 53587800
Add:
357252
1786260
+53587800
= 55731312
✔ Matches.
---
All problems have been solved correctly using standard multiplication breakdown method. Each partial product was calculated carefully and added to get the final result. All match the provided answer key.
Final Answer:
14632299, 36580890, 23906883, 31116872, 14931540, 18371592, 18142705, 9821336, 23870496, 39570649, 66584615, 24360532, 15394500, 80096229, 44842314, 55731312
---
Problem 1: 28523 × 513
Break 513 into 500 + 10 + 3
- 28523 × 3 = 85569
- 28523 × 10 = 285230
- 28523 × 500 = 14261500
Add them:
85569
285230
+14261500
= 14632299
✔ Matches answer key.
---
Problem 2: 66390 × 551
Break 551 into 500 + 50 + 1
- 66390 × 1 = 66390
- 66390 × 50 = 3319500
- 66390 × 500 = 33195000
Add:
66390
3319500
+33195000
= 36580890
✔ Matches.
---
Problem 3: 59917 × 399
Break 399 into 300 + 90 + 9
- 59917 × 9 = 539253
- 59917 × 90 = 5392530
- 59917 × 300 = 17975100
Add:
539253
5392530
+17975100
= 23906883
✔ Matches.
---
Problem 4: 51518 × 604
Break 604 into 600 + 0 + 4 → but better as 600 + 4 (since middle digit is 0)
- 51518 × 4 = 206072
- 51518 × 600 = 30910800
Add:
206072
+30910800
= 31116872
✔ Matches.
---
Problem 5: 31905 × 468
Break 468 into 400 + 60 + 8
- 31905 × 8 = 255240
- 31905 × 60 = 1914300
- 31905 × 400 = 12762000
Add:
255240
1914300
+12762000
= 14931540
✔ Matches.
---
Problem 6: 24693 × 744
Break 744 into 700 + 40 + 4
- 24693 × 4 = 98772
- 24693 × 40 = 987720
- 24693 × 700 = 17285100
Add:
98772
987720
+17285100
= 18371592
✔ Matches.
---
Problem 7: 63215 × 287
Break 287 into 200 + 80 + 7
- 63215 × 7 = 442505
- 63215 × 80 = 5057200
- 63215 × 200 = 12643000
Add:
442505
5057200
+12643000
= 18142705
✔ Matches.
---
Problem 8: 22526 × 436
Break 436 into 400 + 30 + 6
- 22526 × 6 = 135156
- 22526 × 30 = 675780
- 22526 × 400 = 9010400
Add:
135156
675780
+9010400
= 9821336
✔ Matches.
---
Problem 9: 76508 × 312
Break 312 into 300 + 10 + 2
- 76508 × 2 = 153016
- 76508 × 10 = 765080
- 76508 × 300 = 22952400
Add:
153016
765080
+22952400
= 23870496
✔ Matches.
---
Problem 10: 46499 × 851
Break 851 into 800 + 50 + 1
- 46499 × 1 = 46499
- 46499 × 50 = 2324950
- 46499 × 800 = 37199200
Add:
46499
2324950
+37199200
= 39570649
✔ Matches.
---
Problem 11: 77695 × 857
Break 857 into 800 + 50 + 7
- 77695 × 7 = 543865
- 77695 × 50 = 3884750
- 77695 × 800 = 62156000
Add:
543865
3884750
+62156000
= 66584615
✔ Matches.
---
Problem 12: 40466 × 602
Break 602 into 600 + 0 + 2 → use 600 + 2
- 40466 × 2 = 80932
- 40466 × 600 = 24279600
Add:
80932
+24279600
= 24360532
✔ Matches.
---
Problem 13: 31100 × 495
Break 495 into 400 + 90 + 5
- 31100 × 5 = 155500
- 31100 × 90 = 2799000
- 31100 × 400 = 12440000
Add:
155500
2799000
+12440000
= 15394500
✔ Matches.
---
Problem 14: 98037 × 817
Break 817 into 800 + 10 + 7
- 98037 × 7 = 686259
- 98037 × 10 = 980370
- 98037 × 800 = 78429600
Add:
686259
980370
+78429600
= 80096229
✔ Matches.
---
Problem 15: 68046 × 659
Break 659 into 600 + 50 + 9
- 68046 × 9 = 612414
- 68046 × 50 = 3402300
- 68046 × 600 = 40827600
Add:
612414
3402300
+40827600
= 44842314
✔ Matches.
---
Problem 16: 59542 × 936
Break 936 into 900 + 30 + 6
- 59542 × 6 = 357252
- 59542 × 30 = 1786260
- 59542 × 900 = 53587800
Add:
357252
1786260
+53587800
= 55731312
✔ Matches.
---
All problems have been solved correctly using standard multiplication breakdown method. Each partial product was calculated carefully and added to get the final result. All match the provided answer key.
Final Answer:
14632299, 36580890, 23906883, 31116872, 14931540, 18371592, 18142705, 9821336, 23870496, 39570649, 66584615, 24360532, 15394500, 80096229, 44842314, 55731312
Parent Tip: Review the logic above to help your child master the concept of 3 digit multiplication worksheet grade 5.
