Double-digit multiplication worksheet for students to practice solving multiplication problems.
A worksheet titled "Multiplication - Double Digit" featuring 20 multiplication problems with two-digit numbers, designed for math practice.
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Show Answer Key & Explanations
Step-by-step solution for: Double Digit Multiplication Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Double Digit Multiplication Worksheets - Math Monks
Problem: Solve the double-digit multiplication problems in the provided table.
The table contains 20 multiplication problems, each involving two double-digit numbers. We will solve each problem step by step.
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#### Row 1:
1. 26 × 62
- Break down:
\( 26 \times 62 = (20 + 6) \times (60 + 2) \)
Use distributive property:
\( = 20 \times 60 + 20 \times 2 + 6 \times 60 + 6 \times 2 \)
\( = 1200 + 40 + 360 + 12 \)
\( = 1612 \)
- Answer: 1612
2. 98 × 80
- Simplify:
\( 98 \times 80 = 98 \times (8 \times 10) = (98 \times 8) \times 10 \)
\( 98 \times 8 = 784 \)
\( 784 \times 10 = 7840 \)
- Answer: 7840
3. 19 × 27
- Break down:
\( 19 \times 27 = (20 - 1) \times 27 \)
Use distributive property:
\( = 20 \times 27 - 1 \times 27 \)
\( = 540 - 27 \)
\( = 513 \)
- Answer: 513
4. 66 × 24
- Break down:
\( 66 \times 24 = (60 + 6) \times (20 + 4) \)
Use distributive property:
\( = 60 \times 20 + 60 \times 4 + 6 \times 20 + 6 \times 4 \)
\( = 1200 + 240 + 120 + 24 \)
\( = 1584 \)
- Answer: 1584
---
#### Row 2:
5. 76 × 27
- Break down:
\( 76 \times 27 = (70 + 6) \times (20 + 7) \)
Use distributive property:
\( = 70 \times 20 + 70 \times 7 + 6 \times 20 + 6 \times 7 \)
\( = 1400 + 490 + 120 + 42 \)
\( = 2052 \)
- Answer: 2052
6. 86 × 21
- Break down:
\( 86 \times 21 = (80 + 6) \times (20 + 1) \)
Use distributive property:
\( = 80 \times 20 + 80 \times 1 + 6 \times 20 + 6 \times 1 \)
\( = 1600 + 80 + 120 + 6 \)
\( = 1806 \)
- Answer: 1806
7. 63 × 30
- Simplify:
\( 63 \times 30 = 63 \times (3 \times 10) = (63 \times 3) \times 10 \)
\( 63 \times 3 = 189 \)
\( 189 \times 10 = 1890 \)
- Answer: 1890
8. 79 × 80
- Simplify:
\( 79 \times 80 = 79 \times (8 \times 10) = (79 \times 8) \times 10 \)
\( 79 \times 8 = 632 \)
\( 632 \times 10 = 6320 \)
- Answer: 6320
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#### Row 3:
9. 34 × 70
- Simplify:
\( 34 \times 70 = 34 \times (7 \times 10) = (34 \times 7) \times 10 \)
\( 34 \times 7 = 238 \)
\( 238 \times 10 = 2380 \)
- Answer: 2380
10. 53 × 34
- Break down:
\( 53 \times 34 = (50 + 3) \times (30 + 4) \)
Use distributive property:
\( = 50 \times 30 + 50 \times 4 + 3 \times 30 + 3 \times 4 \)
\( = 1500 + 200 + 90 + 12 \)
\( = 1802 \)
- Answer: 1802
11. 18 × 27
- Break down:
\( 18 \times 27 = (20 - 2) \times 27 \)
Use distributive property:
\( = 20 \times 27 - 2 \times 27 \)
\( = 540 - 54 \)
\( = 486 \)
- Answer: 486
12. 31 × 14
- Break down:
\( 31 \times 14 = (30 + 1) \times (10 + 4) \)
Use distributive property:
\( = 30 \times 10 + 30 \times 4 + 1 \times 10 + 1 \times 4 \)
\( = 300 + 120 + 10 + 4 \)
\( = 434 \)
- Answer: 434
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#### Row 4:
13. 22 × 23
- Break down:
\( 22 \times 23 = (20 + 2) \times (20 + 3) \)
Use distributive property:
\( = 20 \times 20 + 20 \times 3 + 2 \times 20 + 2 \times 3 \)
\( = 400 + 60 + 40 + 6 \)
\( = 506 \)
- Answer: 506
14. 78 × 24
- Break down:
\( 78 \times 24 = (80 - 2) \times 24 \)
Use distributive property:
\( = 80 \times 24 - 2 \times 24 \)
\( = 1920 - 48 \)
\( = 1872 \)
- Answer: 1872
15. 93 × 39
- Break down:
\( 93 \times 39 = (90 + 3) \times (40 - 1) \)
Use distributive property:
\( = 90 \times 40 - 90 \times 1 + 3 \times 40 - 3 \times 1 \)
\( = 3600 - 90 + 120 - 3 \)
\( = 3600 - 93 + 120 \)
\( = 3627 \)
- Answer: 3627
16. 62 × 74
- Break down:
\( 62 \times 74 = (60 + 2) \times (70 + 4) \)
Use distributive property:
\( = 60 \times 70 + 60 \times 4 + 2 \times 70 + 2 \times 4 \)
\( = 4200 + 240 + 140 + 8 \)
\( = 4588 \)
- Answer: 4588
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#### Row 5:
17. 73 × 11
- Use the trick for multiplying by 11:
Add the digits of 73 and place the sum between them:
\( 7 + 3 = 10 \)
Place 0 in the middle and carry over 1:
\( 7 \rightarrow (7 + 1) \rightarrow 3 \)
\( = 803 \)
- Answer: 803
18. 25 × 45
- Break down:
\( 25 \times 45 = 25 \times (40 + 5) \)
Use distributive property:
\( = 25 \times 40 + 25 \times 5 \)
\( = 1000 + 125 \)
\( = 1125 \)
- Answer: 1125
19. 86 × 21
- Break down:
\( 86 \times 21 = (80 + 6) \times (20 + 1) \)
Use distributive property:
\( = 80 \times 20 + 80 \times 1 + 6 \times 20 + 6 \times 1 \)
\( = 1600 + 80 + 120 + 6 \)
\( = 1806 \)
- Answer: 1806
20. 70 × 34
- Simplify:
\( 70 \times 34 = 7 \times 34 \times 10 \)
\( 7 \times 34 = 238 \)
\( 238 \times 10 = 2380 \)
- Answer: 2380
---
Final Answers:
\[
\boxed{
\begin{array}{cccc}
1612 & 7840 & 513 & 1584 \\
2052 & 1806 & 1890 & 6320 \\
2380 & 1802 & 486 & 434 \\
506 & 1872 & 3627 & 4588 \\
803 & 1125 & 1806 & 2380 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 2 x 2 multiplication worksheet.