Printable 3-digit by 2-digit multiplication worksheet with grid support for accurate number alignment.
A math worksheet titled "3-digit by 2-digit Multiplication on a Grid (A)" with 16 multiplication problems, each using a grid to help align numbers for calculation.
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Show Answer Key & Explanations
Step-by-step solution for: 3-digit by 2-digit Multiplication with Grid Support Including ...
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Show Answer Key & Explanations
Step-by-step solution for: 3-digit by 2-digit Multiplication with Grid Support Including ...
Let’s solve each multiplication problem step by step using the grid method. We’ll break down each 3-digit number and multiply it by each digit of the 2-digit number, then add up the results.
We’ll go one problem at a time.
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Problem 1: 396 × 43
Break 43 into 40 + 3.
First, 396 × 3 =
300×3 = 900
90×3 = 270
6×3 = 18
Total = 900 + 270 + 18 = 1188
Next, 396 × 40 = (396 × 4) × 10
396 × 4:
300×4 = 1200
90×4 = 360
6×4 = 24
Total = 1200 + 360 + 24 = 1584 → ×10 = 15840
Now add: 1188 + 15840 = 17028
✔ Answer: 17028
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Problem 2: 519 × 69
Break 69 into 60 + 9.
519 × 9:
500×9 = 4500
10×9 = 90
9×9 = 81
Total = 4500 + 90 + 81 = 4671
519 × 60 = (519 × 6) × 10
519 × 6:
500×6 = 3000
10×6 = 60
9×6 = 54
Total = 3000 + 60 + 54 = 3114 → ×10 = 31140
Add: 4671 + 31140 = 35811
✔ Answer: 35811
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Problem 3: 808 × 27
Break 27 into 20 + 7.
808 × 7:
800×7 = 5600
0×7 = 0
8×7 = 56
Total = 5600 + 0 + 56 = 5656
808 × 20 = (808 × 2) × 10
808 × 2 = 1616 → ×10 = 16160
Add: 5656 + 16160 = 21816
✔ Answer: 21816
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Problem 4: 685 × 75
Break 75 into 70 + 5.
685 × 5:
600×5 = 3000
80×5 = 400
5×5 = 25
Total = 3000 + 400 + 25 = 3425
685 × 70 = (685 × 7) × 10
685 × 7:
600×7 = 4200
80×7 = 560
5×7 = 35
Total = 4200 + 560 + 35 = 4795 → ×10 = 47950
Add: 3425 + 47950 = 51375
✔ Answer: 51375
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Problem 5: 162 × 86
Break 86 into 80 + 6.
162 × 6:
100×6 = 600
60×6 = 360
2×6 = 12
Total = 600 + 360 + 12 = 972
162 × 80 = (162 × 8) × 10
162 × 8:
100×8 = 800
60×8 = 480
2×8 = 16
Total = 800 + 480 + 16 = 1296 → ×10 = 12960
Add: 972 + 12960 = 13932
✔ Answer: 13932
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Problem 6: 683 × 14
Break 14 into 10 + 4.
683 × 4:
600×4 = 2400
80×4 = 320
3×4 = 12
Total = 2400 + 320 + 12 = 2732
683 × 10 = 6830
Add: 2732 + 6830 = 9562
✔ Answer: 9562
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Problem 7: 850 × 26
Break 26 into 20 + 6.
850 × 6:
800×6 = 4800
50×6 = 300
Total = 4800 + 300 = 5100
850 × 20 = (850 × 2) × 10 = 1700 × 10 = 17000
Add: 5100 + 17000 = 22100
✔ Answer: 22100
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Problem 8: 869 × 25
Break 25 into 20 + 5.
869 × 5:
800×5 = 4000
60×5 = 300
9×5 = 45
Total = 4000 + 300 + 45 = 4345
869 × 20 = (869 × 2) × 10 = 1738 × 10 = 17380
Add: 4345 + 17380 = 21725
✔ Answer: 21725
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Problem 9: 824 × 55
Break 55 into 50 + 5.
824 × 5:
800×5 = 4000
20×5 = 100
4×5 = 20
Total = 4000 + 100 + 20 = 4120
824 × 50 = (824 × 5) × 10 = 4120 × 10 = 41200
Add: 4120 + 41200 = 45320
✔ Answer: 45320
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Problem 10: 748 × 46
Break 46 into 40 + 6.
748 × 6:
700×6 = 4200
40×6 = 240
8×6 = 48
Total = 4200 + 240 + 48 = 4488
748 × 40 = (748 × 4) × 10
748 × 4:
700×4 = 2800
40×4 = 160
8×4 = 32
Total = 2800 + 160 + 32 = 2992 → ×10 = 29920
Add: 4488 + 29920 = 34408
✔ Answer: 34408
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Problem 11: 365 × 60
This is easy — just multiply 365 × 6 and add a zero.
365 × 6:
300×6 = 1800
60×6 = 360
5×6 = 30
Total = 1800 + 360 + 30 = 2190 → ×10 = 21900
✔ Answer: 21900
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Problem 12: 285 × 10
Just add a zero to 285 → 2850
✔ Answer: 2850
---
Problem 13: 360 × 80
Multiply 36 × 8 = 288, then add two zeros → 28800
Check:
360 × 80 = (36 × 10) × (8 × 10) = 36×8 × 100 = 288 × 100 = 28800
✔ Answer: 28800
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Problem 14: 394 × 53
Break 53 into 50 + 3.
394 × 3:
300×3 = 900
90×3 = 270
4×3 = 12
Total = 900 + 270 + 12 = 1182
394 × 50 = (394 × 5) × 10
394 × 5:
300×5 = 1500
90×5 = 450
4×5 = 20
Total = 1500 + 450 + 20 = 1970 → ×10 = 19700
Add: 1182 + 19700 = 20882
✔ Answer: 20882
---
Problem 15: 873 × 58
Break 58 into 50 + 8.
873 × 8:
800×8 = 6400
70×8 = 560
3×8 = 24
Total = 6400 + 560 + 24 = 6984
873 × 50 = (873 × 5) × 10
873 × 5:
800×5 = 4000
70×5 = 350
3×5 = 15
Total = 4000 + 350 + 15 = 4365 → ×10 = 43650
Add: 6984 + 43650 = 50634
✔ Answer: 50634
---
Problem 16: 611 × 94
Break 94 into 90 + 4.
611 × 4:
600×4 = 2400
10×4 = 40
1×4 = 4
Total = 2400 + 40 + 4 = 2444
611 × 90 = (611 × 9) × 10
611 × 9:
600×9 = 5400
10×9 = 90
1×9 = 9
Total = 5400 + 90 + 9 = 5499 → ×10 = 54990
Add: 2444 + 54990 = 57434
✔ Answer: 57434
---
Final Answer:
Here are all the answers in order:
1. 396 × 43 = 17028
2. 519 × 69 = 35811
3. 808 × 27 = 21816
4. 685 × 75 = 51375
5. 162 × 86 = 13932
6. 683 × 14 = 9562
7. 850 × 26 = 22100
8. 869 × 25 = 21725
9. 824 × 55 = 45320
10. 748 × 46 = 34408
11. 365 × 60 = 21900
12. 285 × 10 = 2850
13. 360 × 80 = 28800
14. 394 × 53 = 20882
15. 873 × 58 = 50634
16. 611 × 94 = 57434
We’ll go one problem at a time.
---
Problem 1: 396 × 43
Break 43 into 40 + 3.
First, 396 × 3 =
300×3 = 900
90×3 = 270
6×3 = 18
Total = 900 + 270 + 18 = 1188
Next, 396 × 40 = (396 × 4) × 10
396 × 4:
300×4 = 1200
90×4 = 360
6×4 = 24
Total = 1200 + 360 + 24 = 1584 → ×10 = 15840
Now add: 1188 + 15840 = 17028
✔ Answer: 17028
---
Problem 2: 519 × 69
Break 69 into 60 + 9.
519 × 9:
500×9 = 4500
10×9 = 90
9×9 = 81
Total = 4500 + 90 + 81 = 4671
519 × 60 = (519 × 6) × 10
519 × 6:
500×6 = 3000
10×6 = 60
9×6 = 54
Total = 3000 + 60 + 54 = 3114 → ×10 = 31140
Add: 4671 + 31140 = 35811
✔ Answer: 35811
---
Problem 3: 808 × 27
Break 27 into 20 + 7.
808 × 7:
800×7 = 5600
0×7 = 0
8×7 = 56
Total = 5600 + 0 + 56 = 5656
808 × 20 = (808 × 2) × 10
808 × 2 = 1616 → ×10 = 16160
Add: 5656 + 16160 = 21816
✔ Answer: 21816
---
Problem 4: 685 × 75
Break 75 into 70 + 5.
685 × 5:
600×5 = 3000
80×5 = 400
5×5 = 25
Total = 3000 + 400 + 25 = 3425
685 × 70 = (685 × 7) × 10
685 × 7:
600×7 = 4200
80×7 = 560
5×7 = 35
Total = 4200 + 560 + 35 = 4795 → ×10 = 47950
Add: 3425 + 47950 = 51375
✔ Answer: 51375
---
Problem 5: 162 × 86
Break 86 into 80 + 6.
162 × 6:
100×6 = 600
60×6 = 360
2×6 = 12
Total = 600 + 360 + 12 = 972
162 × 80 = (162 × 8) × 10
162 × 8:
100×8 = 800
60×8 = 480
2×8 = 16
Total = 800 + 480 + 16 = 1296 → ×10 = 12960
Add: 972 + 12960 = 13932
✔ Answer: 13932
---
Problem 6: 683 × 14
Break 14 into 10 + 4.
683 × 4:
600×4 = 2400
80×4 = 320
3×4 = 12
Total = 2400 + 320 + 12 = 2732
683 × 10 = 6830
Add: 2732 + 6830 = 9562
✔ Answer: 9562
---
Problem 7: 850 × 26
Break 26 into 20 + 6.
850 × 6:
800×6 = 4800
50×6 = 300
Total = 4800 + 300 = 5100
850 × 20 = (850 × 2) × 10 = 1700 × 10 = 17000
Add: 5100 + 17000 = 22100
✔ Answer: 22100
---
Problem 8: 869 × 25
Break 25 into 20 + 5.
869 × 5:
800×5 = 4000
60×5 = 300
9×5 = 45
Total = 4000 + 300 + 45 = 4345
869 × 20 = (869 × 2) × 10 = 1738 × 10 = 17380
Add: 4345 + 17380 = 21725
✔ Answer: 21725
---
Problem 9: 824 × 55
Break 55 into 50 + 5.
824 × 5:
800×5 = 4000
20×5 = 100
4×5 = 20
Total = 4000 + 100 + 20 = 4120
824 × 50 = (824 × 5) × 10 = 4120 × 10 = 41200
Add: 4120 + 41200 = 45320
✔ Answer: 45320
---
Problem 10: 748 × 46
Break 46 into 40 + 6.
748 × 6:
700×6 = 4200
40×6 = 240
8×6 = 48
Total = 4200 + 240 + 48 = 4488
748 × 40 = (748 × 4) × 10
748 × 4:
700×4 = 2800
40×4 = 160
8×4 = 32
Total = 2800 + 160 + 32 = 2992 → ×10 = 29920
Add: 4488 + 29920 = 34408
✔ Answer: 34408
---
Problem 11: 365 × 60
This is easy — just multiply 365 × 6 and add a zero.
365 × 6:
300×6 = 1800
60×6 = 360
5×6 = 30
Total = 1800 + 360 + 30 = 2190 → ×10 = 21900
✔ Answer: 21900
---
Problem 12: 285 × 10
Just add a zero to 285 → 2850
✔ Answer: 2850
---
Problem 13: 360 × 80
Multiply 36 × 8 = 288, then add two zeros → 28800
Check:
360 × 80 = (36 × 10) × (8 × 10) = 36×8 × 100 = 288 × 100 = 28800
✔ Answer: 28800
---
Problem 14: 394 × 53
Break 53 into 50 + 3.
394 × 3:
300×3 = 900
90×3 = 270
4×3 = 12
Total = 900 + 270 + 12 = 1182
394 × 50 = (394 × 5) × 10
394 × 5:
300×5 = 1500
90×5 = 450
4×5 = 20
Total = 1500 + 450 + 20 = 1970 → ×10 = 19700
Add: 1182 + 19700 = 20882
✔ Answer: 20882
---
Problem 15: 873 × 58
Break 58 into 50 + 8.
873 × 8:
800×8 = 6400
70×8 = 560
3×8 = 24
Total = 6400 + 560 + 24 = 6984
873 × 50 = (873 × 5) × 10
873 × 5:
800×5 = 4000
70×5 = 350
3×5 = 15
Total = 4000 + 350 + 15 = 4365 → ×10 = 43650
Add: 6984 + 43650 = 50634
✔ Answer: 50634
---
Problem 16: 611 × 94
Break 94 into 90 + 4.
611 × 4:
600×4 = 2400
10×4 = 40
1×4 = 4
Total = 2400 + 40 + 4 = 2444
611 × 90 = (611 × 9) × 10
611 × 9:
600×9 = 5400
10×9 = 90
1×9 = 9
Total = 5400 + 90 + 9 = 5499 → ×10 = 54990
Add: 2444 + 54990 = 57434
✔ Answer: 57434
---
Final Answer:
Here are all the answers in order:
1. 396 × 43 = 17028
2. 519 × 69 = 35811
3. 808 × 27 = 21816
4. 685 × 75 = 51375
5. 162 × 86 = 13932
6. 683 × 14 = 9562
7. 850 × 26 = 22100
8. 869 × 25 = 21725
9. 824 × 55 = 45320
10. 748 × 46 = 34408
11. 365 × 60 = 21900
12. 285 × 10 = 2850
13. 360 × 80 = 28800
14. 394 × 53 = 20882
15. 873 × 58 = 50634
16. 611 × 94 = 57434
Parent Tip: Review the logic above to help your child master the concept of multiplication grid worksheet.
