4-digit by 2-digit Multiplication with Grid Support (A) - Free Printable
Educational worksheet: 4-digit by 2-digit Multiplication with Grid Support (A). Download and print for classroom or home learning activities.
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Step-by-step solution for: 4-digit by 2-digit Multiplication with Grid Support (A)
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Show Answer Key & Explanations
Step-by-step solution for: 4-digit by 2-digit Multiplication with Grid Support (A)
Let’s solve each multiplication problem step by step. We’ll use the grid to help line up numbers, but since we’re doing it mentally or on paper, we’ll break down each multiplication into parts: multiply by the ones digit first, then by the tens digit, and add them together.
We’ll go row by row, left to right.
---
First Row:
1. 2791 × 16
Break 16 into 10 + 6.
→ 2791 × 6 =
2000×6=12000
700×6=4200 → total so far: 16200
90×6=540 → 16740
1×6=6 → 16746
→ 2791 × 10 = 27910
Add: 16746 + 27910 =
16746 + 27000 = 43746
43746 + 910 = 44656
✔ Answer: 44656
---
2. 2263 × 73
Break 73 into 70 + 3.
→ 2263 × 3 =
2000×3=6000
200×3=600 → 6600
60×3=180 → 6780
3×3=9 → 6789
→ 2263 × 70 = 2263 × 7 × 10
2263 × 7:
2000×7=14000
200×7=1400 → 15400
60×7=420 → 15820
3×7=21 → 15841
Then ×10 → 158410
Add: 6789 + 158410 =
6789 + 158000 = 164789
164789 + 410 = 165199
✔ Answer: 165199
---
3. 3372 × 21
Break 21 into 20 + 1.
→ 3372 × 1 = 3372
→ 3372 × 20 = 3372 × 2 × 10
3372 × 2 = 6744 → ×10 = 67440
Add: 3372 + 67440 =
3372 + 67000 = 70372
70372 + 440 = 70812
✔ Answer: 70812
---
4. 8020 × 46
Break 46 into 40 + 6.
→ 8020 × 6 =
8000×6=48000
20×6=120 → 48120
→ 8020 × 40 = 8020 × 4 × 10
8020 × 4:
8000×4=32000
20×4=80 → 32080 → ×10 = 320800
Add: 48120 + 320800 =
48120 + 320000 = 368120
368120 + 800 = 368920
✔ Answer: 368920
---
Second Row:
5. 9053 × 27
Break 27 into 20 + 7.
→ 9053 × 7:
9000×7=63000
50×7=350 → 63350
3×7=21 → 63371
→ 9053 × 20 = 9053 × 2 × 10
9053 × 2 = 18106 → ×10 = 181060
Add: 63371 + 181060 =
63371 + 180000 = 243371
243371 + 1060 = 244431
✔ Answer: 244431
---
6. 8913 × 37
Break 37 into 30 + 7.
→ 8913 × 7:
8000×7=56000
900×7=6300 → 62300
10×7=70 → 62370
3×7=21 → 62391
→ 8913 × 30 = 8913 × 3 × 10
8913 × 3:
8000×3=24000
900×3=2700 → 26700
10×3=30 → 26730
3×3=9 → 26739 → ×10 = 267390
Add: 62391 + 267390 =
62391 + 267000 = 329391
329391 + 390 = 329781
✔ Answer: 329781
---
7. 1352 × 40
This is easy — just multiply by 4 and add a zero.
1352 × 4:
1000×4=4000
300×4=1200 → 5200
50×4=200 → 5400
2×4=8 → 5408
Add zero → 54080
✔ Answer: 54080
---
8. 2873 × 12
Break 12 into 10 + 2.
→ 2873 × 2 = 5746
→ 2873 × 10 = 28730
Add: 5746 + 28730 =
5746 + 28000 = 33746
33746 + 730 = 34476
✔ Answer: 34476
---
Third Row:
9. 1562 × 52
Break 52 into 50 + 2.
→ 1562 × 2 = 3124
→ 1562 × 50 = 1562 × 5 × 10
1562 × 5:
1000×5=5000
500×5=2500 → 7500
60×5=300 → 7800
2×5=10 → 7810 → ×10 = 78100
Add: 3124 + 78100 =
3124 + 78000 = 81124
81124 + 100 = 81224
✔ Answer: 81224
---
10. 9327 × 19
Break 19 into 20 - 1 (easier!)
→ 9327 × 20 = 9327 × 2 × 10 = 18654 × 10 = 186540
→ 9327 × 1 = 9327
Subtract: 186540 - 9327 =
186540 - 9000 = 177540
177540 - 327 = 177213
✔ Answer: 177213
---
11. 6732 × 69
Break 69 into 70 - 1.
→ 6732 × 70 = 6732 × 7 × 10
6732 × 7:
6000×7=42000
700×7=4900 → 46900
30×7=210 → 47110
2×7=14 → 47124 → ×10 = 471240
→ 6732 × 1 = 6732
Subtract: 471240 - 6732 =
471240 - 6000 = 465240
465240 - 732 = 464508
✔ Answer: 464508
---
12. 6749 × 65
Break 65 into 60 + 5.
→ 6749 × 5:
6000×5=30000
700×5=3500 → 33500
40×5=200 → 33700
9×5=45 → 33745
→ 6749 × 60 = 6749 × 6 × 10
6749 × 6:
6000×6=36000
700×6=4200 → 40200
40×6=240 → 40440
9×6=54 → 40494 → ×10 = 404940
Add: 33745 + 404940 =
33745 + 400000 = 433745
433745 + 4940 = 438685
✔ Answer: 438685
---
Fourth Row:
13. 6496 × 84
Break 84 into 80 + 4.
→ 6496 × 4:
6000×4=24000
400×4=1600 → 25600
90×4=360 → 25960
6×4=24 → 25984
→ 6496 × 80 = 6496 × 8 × 10
6496 × 8:
6000×8=48000
400×8=3200 → 51200
90×8=720 → 51920
6×8=48 → 51968 → ×10 = 519680
Add: 25984 + 519680 =
25984 + 519000 = 544984
544984 + 680 = 545664
✔ Answer: 545664
---
14. 6717 × 14
Break 14 into 10 + 4.
→ 6717 × 4:
6000×4=24000
700×4=2800 → 26800
10×4=40 → 26840
7×4=28 → 26868
→ 6717 × 10 = 67170
Add: 26868 + 67170 =
26868 + 67000 = 93868
93868 + 170 = 94038
✔ Answer: 94038
---
15. 6956 × 11
Trick for ×11: Add adjacent digits.
But let’s do it normally:
Break 11 into 10 + 1.
→ 6956 × 10 = 69560
→ 6956 × 1 = 6956
Add: 69560 + 6956 =
69560 + 6000 = 75560
75560 + 956 = 76516
✔ Answer: 76516
---
16. 2940 × 61
Break 61 into 60 + 1.
→ 2940 × 1 = 2940
→ 2940 × 60 = 2940 × 6 × 10
2940 × 6:
2000×6=12000
900×6=5400 → 17400
40×6=240 → 17640 → ×10 = 176400
Add: 2940 + 176400 =
2940 + 176000 = 178940
178940 + 400 = 179340
✔ Answer: 179340
---
Final Answer:
44656
165199
70812
368920
244431
329781
54080
34476
81224
177213
464508
438685
545664
94038
76516
179340
We’ll go row by row, left to right.
---
First Row:
1. 2791 × 16
Break 16 into 10 + 6.
→ 2791 × 6 =
2000×6=12000
700×6=4200 → total so far: 16200
90×6=540 → 16740
1×6=6 → 16746
→ 2791 × 10 = 27910
Add: 16746 + 27910 =
16746 + 27000 = 43746
43746 + 910 = 44656
✔ Answer: 44656
---
2. 2263 × 73
Break 73 into 70 + 3.
→ 2263 × 3 =
2000×3=6000
200×3=600 → 6600
60×3=180 → 6780
3×3=9 → 6789
→ 2263 × 70 = 2263 × 7 × 10
2263 × 7:
2000×7=14000
200×7=1400 → 15400
60×7=420 → 15820
3×7=21 → 15841
Then ×10 → 158410
Add: 6789 + 158410 =
6789 + 158000 = 164789
164789 + 410 = 165199
✔ Answer: 165199
---
3. 3372 × 21
Break 21 into 20 + 1.
→ 3372 × 1 = 3372
→ 3372 × 20 = 3372 × 2 × 10
3372 × 2 = 6744 → ×10 = 67440
Add: 3372 + 67440 =
3372 + 67000 = 70372
70372 + 440 = 70812
✔ Answer: 70812
---
4. 8020 × 46
Break 46 into 40 + 6.
→ 8020 × 6 =
8000×6=48000
20×6=120 → 48120
→ 8020 × 40 = 8020 × 4 × 10
8020 × 4:
8000×4=32000
20×4=80 → 32080 → ×10 = 320800
Add: 48120 + 320800 =
48120 + 320000 = 368120
368120 + 800 = 368920
✔ Answer: 368920
---
Second Row:
5. 9053 × 27
Break 27 into 20 + 7.
→ 9053 × 7:
9000×7=63000
50×7=350 → 63350
3×7=21 → 63371
→ 9053 × 20 = 9053 × 2 × 10
9053 × 2 = 18106 → ×10 = 181060
Add: 63371 + 181060 =
63371 + 180000 = 243371
243371 + 1060 = 244431
✔ Answer: 244431
---
6. 8913 × 37
Break 37 into 30 + 7.
→ 8913 × 7:
8000×7=56000
900×7=6300 → 62300
10×7=70 → 62370
3×7=21 → 62391
→ 8913 × 30 = 8913 × 3 × 10
8913 × 3:
8000×3=24000
900×3=2700 → 26700
10×3=30 → 26730
3×3=9 → 26739 → ×10 = 267390
Add: 62391 + 267390 =
62391 + 267000 = 329391
329391 + 390 = 329781
✔ Answer: 329781
---
7. 1352 × 40
This is easy — just multiply by 4 and add a zero.
1352 × 4:
1000×4=4000
300×4=1200 → 5200
50×4=200 → 5400
2×4=8 → 5408
Add zero → 54080
✔ Answer: 54080
---
8. 2873 × 12
Break 12 into 10 + 2.
→ 2873 × 2 = 5746
→ 2873 × 10 = 28730
Add: 5746 + 28730 =
5746 + 28000 = 33746
33746 + 730 = 34476
✔ Answer: 34476
---
Third Row:
9. 1562 × 52
Break 52 into 50 + 2.
→ 1562 × 2 = 3124
→ 1562 × 50 = 1562 × 5 × 10
1562 × 5:
1000×5=5000
500×5=2500 → 7500
60×5=300 → 7800
2×5=10 → 7810 → ×10 = 78100
Add: 3124 + 78100 =
3124 + 78000 = 81124
81124 + 100 = 81224
✔ Answer: 81224
---
10. 9327 × 19
Break 19 into 20 - 1 (easier!)
→ 9327 × 20 = 9327 × 2 × 10 = 18654 × 10 = 186540
→ 9327 × 1 = 9327
Subtract: 186540 - 9327 =
186540 - 9000 = 177540
177540 - 327 = 177213
✔ Answer: 177213
---
11. 6732 × 69
Break 69 into 70 - 1.
→ 6732 × 70 = 6732 × 7 × 10
6732 × 7:
6000×7=42000
700×7=4900 → 46900
30×7=210 → 47110
2×7=14 → 47124 → ×10 = 471240
→ 6732 × 1 = 6732
Subtract: 471240 - 6732 =
471240 - 6000 = 465240
465240 - 732 = 464508
✔ Answer: 464508
---
12. 6749 × 65
Break 65 into 60 + 5.
→ 6749 × 5:
6000×5=30000
700×5=3500 → 33500
40×5=200 → 33700
9×5=45 → 33745
→ 6749 × 60 = 6749 × 6 × 10
6749 × 6:
6000×6=36000
700×6=4200 → 40200
40×6=240 → 40440
9×6=54 → 40494 → ×10 = 404940
Add: 33745 + 404940 =
33745 + 400000 = 433745
433745 + 4940 = 438685
✔ Answer: 438685
---
Fourth Row:
13. 6496 × 84
Break 84 into 80 + 4.
→ 6496 × 4:
6000×4=24000
400×4=1600 → 25600
90×4=360 → 25960
6×4=24 → 25984
→ 6496 × 80 = 6496 × 8 × 10
6496 × 8:
6000×8=48000
400×8=3200 → 51200
90×8=720 → 51920
6×8=48 → 51968 → ×10 = 519680
Add: 25984 + 519680 =
25984 + 519000 = 544984
544984 + 680 = 545664
✔ Answer: 545664
---
14. 6717 × 14
Break 14 into 10 + 4.
→ 6717 × 4:
6000×4=24000
700×4=2800 → 26800
10×4=40 → 26840
7×4=28 → 26868
→ 6717 × 10 = 67170
Add: 26868 + 67170 =
26868 + 67000 = 93868
93868 + 170 = 94038
✔ Answer: 94038
---
15. 6956 × 11
Trick for ×11: Add adjacent digits.
But let’s do it normally:
Break 11 into 10 + 1.
→ 6956 × 10 = 69560
→ 6956 × 1 = 6956
Add: 69560 + 6956 =
69560 + 6000 = 75560
75560 + 956 = 76516
✔ Answer: 76516
---
16. 2940 × 61
Break 61 into 60 + 1.
→ 2940 × 1 = 2940
→ 2940 × 60 = 2940 × 6 × 10
2940 × 6:
2000×6=12000
900×6=5400 → 17400
40×6=240 → 17640 → ×10 = 176400
Add: 2940 + 176400 =
2940 + 176000 = 178940
178940 + 400 = 179340
✔ Answer: 179340
---
Final Answer:
44656
165199
70812
368920
244431
329781
54080
34476
81224
177213
464508
438685
545664
94038
76516
179340
Parent Tip: Review the logic above to help your child master the concept of 2 digit by 2 digit multiplication worksheet on grid paper.
