2-digit by 2-digit Multiplication Worksheets - Free Printable
Educational worksheet: 2-digit by 2-digit Multiplication Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: 2-digit by 2-digit Multiplication Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 2-digit by 2-digit Multiplication Worksheets
Let’s solve each multiplication problem step by step. We’ll multiply the 3-digit number by the 2-digit number using the standard method — first multiply by the ones digit, then by the tens digit (remembering to add a zero at the end), and finally add the two results together.
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Problem 1: 22 × 50
Step 1: Multiply 22 by 0 (ones place of 50) → 22 × 0 = 0
Step 2: Multiply 22 by 5 (tens place of 50) → 22 × 5 = 110 → but since it’s the tens place, we write it as 1100 (add one zero)
Step 3: Add them → 0 + 1100 = 1100
✔ Final Answer for #1: 1100
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Problem 2: 238 × 48
Break it down:
First, multiply 238 × 8 (ones place):
238 × 8:
- 8 × 8 = 64 → write 4, carry 6
- 3 × 8 = 24 + 6 = 30 → write 0, carry 3
- 2 × 8 = 16 + 3 = 19 → write 19
→ So, 238 × 8 = 1904
Now, multiply 238 × 40 (tens place — so we’ll add a zero at the end):
238 × 4 = ?
- 8 × 4 = 32 → write 2, carry 3
- 3 × 4 = 12 + 3 = 15 → write 5, carry 1
- 2 × 4 = 8 + 1 = 9
→ 238 × 4 = 952 → so 238 × 40 = 9520
Now add: 1904 + 9520
1904
+9520
= 11424
✔ Final Answer for #2: 11424
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Problem 3: 82 × 66
Multiply 82 × 6 (ones place):
82 × 6:
- 2 × 6 = 12 → write 2, carry 1
- 8 × 6 = 48 + 1 = 49 → write 49
→ 82 × 6 = 492
Multiply 82 × 60 (tens place — add a zero):
82 × 6 = 492 → so 82 × 60 = 4920
Add: 492 + 4920 = 5412
✔ Final Answer for #3: 5412
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Problem 4: 46 × 71
Multiply 46 × 1 (ones place) → 46 × 1 = 46
Multiply 46 × 70 (tens place):
46 × 7 = ?
- 6 × 7 = 42 → write 2, carry 4
- 4 × 7 = 28 + 4 = 32 → write 32
→ 46 × 7 = 322 → so 46 × 70 = 3220
Add: 46 + 3220 = 3266
✔ Final Answer for #4: 3266
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Problem 5: 284 × 57
Multiply 284 × 7 (ones place):
284 × 7:
- 4 × 7 = 28 → write 8, carry 2
- 8 × 7 = 56 + 2 = 58 → write 8, carry 5
- 2 × 7 = 14 + 5 = 19 → write 19
→ 284 × 7 = 1988
Multiply 284 × 50 (tens place):
284 × 5 = ?
- 4 × 5 = 20 → write 0, carry 2
- 8 × 5 = 40 + 2 = 42 → write 2, carry 4
- 2 × 5 = 10 + 4 = 14 → write 14
→ 284 × 5 = 1420 → so 284 × 50 = 14200
Add: 1988 + 14200 = 16188
✔ Final Answer for #5: 16188
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Problem 6: 628 × 25
Multiply 628 × 5 (ones place):
628 × 5:
- 8 × 5 = 40 → write 0, carry 4
- 2 × 5 = 10 + 4 = 14 → write 4, carry 1
- 6 × 5 = 30 + 1 = 31 → write 31
→ 628 × 5 = 3140
Multiply 628 × 20 (tens place):
628 × 2 = 1256 → so 628 × 20 = 12560
Add: 3140 + 12560 = 15700
✔ Final Answer for #6: 15700
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Problem 7: 49 × 80
Multiply 49 × 0 → 0
Multiply 49 × 80 → 49 × 8 = 392 → so 49 × 80 = 3920
Add: 0 + 3920 = 3920
✔ Final Answer for #7: 3920
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Problem 8: 15 × 32
Multiply 15 × 2 = 30
Multiply 15 × 30 = 15 × 3 = 45 → so 450
Add: 30 + 450 = 480
✔ Final Answer for #8: 480
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Problem 9: 72 × 61
Multiply 72 × 1 = 72
Multiply 72 × 60 = 72 × 6 = 432 → so 4320
Add: 72 + 4320 = 4392
✔ Final Answer for #9: 4392
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Final Answer:
1) 1100
2) 11424
3) 5412
4) 3266
5) 16188
6) 15700
7) 3920
8) 480
9) 4392
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Problem 1: 22 × 50
Step 1: Multiply 22 by 0 (ones place of 50) → 22 × 0 = 0
Step 2: Multiply 22 by 5 (tens place of 50) → 22 × 5 = 110 → but since it’s the tens place, we write it as 1100 (add one zero)
Step 3: Add them → 0 + 1100 = 1100
✔ Final Answer for #1: 1100
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Problem 2: 238 × 48
Break it down:
First, multiply 238 × 8 (ones place):
238 × 8:
- 8 × 8 = 64 → write 4, carry 6
- 3 × 8 = 24 + 6 = 30 → write 0, carry 3
- 2 × 8 = 16 + 3 = 19 → write 19
→ So, 238 × 8 = 1904
Now, multiply 238 × 40 (tens place — so we’ll add a zero at the end):
238 × 4 = ?
- 8 × 4 = 32 → write 2, carry 3
- 3 × 4 = 12 + 3 = 15 → write 5, carry 1
- 2 × 4 = 8 + 1 = 9
→ 238 × 4 = 952 → so 238 × 40 = 9520
Now add: 1904 + 9520
1904
+9520
= 11424
✔ Final Answer for #2: 11424
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Problem 3: 82 × 66
Multiply 82 × 6 (ones place):
82 × 6:
- 2 × 6 = 12 → write 2, carry 1
- 8 × 6 = 48 + 1 = 49 → write 49
→ 82 × 6 = 492
Multiply 82 × 60 (tens place — add a zero):
82 × 6 = 492 → so 82 × 60 = 4920
Add: 492 + 4920 = 5412
✔ Final Answer for #3: 5412
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Problem 4: 46 × 71
Multiply 46 × 1 (ones place) → 46 × 1 = 46
Multiply 46 × 70 (tens place):
46 × 7 = ?
- 6 × 7 = 42 → write 2, carry 4
- 4 × 7 = 28 + 4 = 32 → write 32
→ 46 × 7 = 322 → so 46 × 70 = 3220
Add: 46 + 3220 = 3266
✔ Final Answer for #4: 3266
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Problem 5: 284 × 57
Multiply 284 × 7 (ones place):
284 × 7:
- 4 × 7 = 28 → write 8, carry 2
- 8 × 7 = 56 + 2 = 58 → write 8, carry 5
- 2 × 7 = 14 + 5 = 19 → write 19
→ 284 × 7 = 1988
Multiply 284 × 50 (tens place):
284 × 5 = ?
- 4 × 5 = 20 → write 0, carry 2
- 8 × 5 = 40 + 2 = 42 → write 2, carry 4
- 2 × 5 = 10 + 4 = 14 → write 14
→ 284 × 5 = 1420 → so 284 × 50 = 14200
Add: 1988 + 14200 = 16188
✔ Final Answer for #5: 16188
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Problem 6: 628 × 25
Multiply 628 × 5 (ones place):
628 × 5:
- 8 × 5 = 40 → write 0, carry 4
- 2 × 5 = 10 + 4 = 14 → write 4, carry 1
- 6 × 5 = 30 + 1 = 31 → write 31
→ 628 × 5 = 3140
Multiply 628 × 20 (tens place):
628 × 2 = 1256 → so 628 × 20 = 12560
Add: 3140 + 12560 = 15700
✔ Final Answer for #6: 15700
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Problem 7: 49 × 80
Multiply 49 × 0 → 0
Multiply 49 × 80 → 49 × 8 = 392 → so 49 × 80 = 3920
Add: 0 + 3920 = 3920
✔ Final Answer for #7: 3920
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Problem 8: 15 × 32
Multiply 15 × 2 = 30
Multiply 15 × 30 = 15 × 3 = 45 → so 450
Add: 30 + 450 = 480
✔ Final Answer for #8: 480
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Problem 9: 72 × 61
Multiply 72 × 1 = 72
Multiply 72 × 60 = 72 × 6 = 432 → so 4320
Add: 72 + 4320 = 4392
✔ Final Answer for #9: 4392
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Final Answer:
1) 1100
2) 11424
3) 5412
4) 3266
5) 16188
6) 15700
7) 3920
8) 480
9) 4392
Parent Tip: Review the logic above to help your child master the concept of 2 digit by 2 digit multiplication worksheet on grid paper.