Double Digit Multiplication Worksheets - Math Monks - Free Printable
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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 Description:
The task involves solving a series of double-digit multiplication problems. Each problem consists of two two-digit numbers that need to be multiplied. The goal is to compute the product for each pair.
Solution Approach:
We will solve each multiplication problem step by step using the standard algorithm for multiplication. Here's the general process:
1. Multiply the ones digit of the second number by the first number.
2. Multiply the tens digit of the second number by the first number, and shift the result one place to the left (i.e., multiply by 10).
3. Add the results from steps 1 and 2 to get the final product.
Let's solve each problem systematically.
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Row 1:
1. 26 × 62
- Step 1: \( 26 \times 2 = 52 \)
- Step 2: \( 26 \times 60 = 1560 \)
- Step 3: \( 52 + 1560 = 1612 \)
- Answer: 1612
2. 98 × 80
- Step 1: \( 98 \times 80 = 7840 \) (since multiplying by 80 is the same as multiplying by 8 and then by 10)
- Answer: 7840
3. 19 × 27
- Step 1: \( 19 \times 7 = 133 \)
- Step 2: \( 19 \times 20 = 380 \)
- Step 3: \( 133 + 380 = 513 \)
- Answer: 513
4. 66 × 24
- Step 1: \( 66 \times 4 = 264 \)
- Step 2: \( 66 \times 20 = 1320 \)
- Step 3: \( 264 + 1320 = 1584 \)
- Answer: 1584
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Row 2:
5. 76 × 27
- Step 1: \( 76 \times 7 = 532 \)
- Step 2: \( 76 \times 20 = 1520 \)
- Step 3: \( 532 + 1520 = 2052 \)
- Answer: 2052
6. 86 × 21
- Step 1: \( 86 \times 1 = 86 \)
- Step 2: \( 86 \times 20 = 1720 \)
- Step 3: \( 86 + 1720 = 1806 \)
- Answer: 1806
7. 63 × 30
- Step 1: \( 63 \times 30 = 1890 \) (since multiplying by 30 is the same as multiplying by 3 and then by 10)
- Answer: 1890
8. 79 × 80
- Step 1: \( 79 \times 80 = 6320 \) (since multiplying by 80 is the same as multiplying by 8 and then by 10)
- Answer: 6320
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Row 3:
9. 34 × 70
- Step 1: \( 34 \times 70 = 2380 \) (since multiplying by 70 is the same as multiplying by 7 and then by 10)
- Answer: 2380
10. 53 × 34
- Step 1: \( 53 \times 4 = 212 \)
- Step 2: \( 53 \times 30 = 1590 \)
- Step 3: \( 212 + 1590 = 1802 \)
- Answer: 1802
11. 18 × 27
- Step 1: \( 18 \times 7 = 126 \)
- Step 2: \( 18 \times 20 = 360 \)
- Step 3: \( 126 + 360 = 486 \)
- Answer: 486
12. 31 × 14
- Step 1: \( 31 \times 4 = 124 \)
- Step 2: \( 31 \times 10 = 310 \)
- Step 3: \( 124 + 310 = 434 \)
- Answer: 434
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Row 4:
13. 22 × 23
- Step 1: \( 22 \times 3 = 66 \)
- Step 2: \( 22 \times 20 = 440 \)
- Step 3: \( 66 + 440 = 506 \)
- Answer: 506
14. 78 × 24
- Step 1: \( 78 \times 4 = 312 \)
- Step 2: \( 78 \times 20 = 1560 \)
- Step 3: \( 312 + 1560 = 1872 \)
- Answer: 1872
15. 93 × 39
- Step 1: \( 93 \times 9 = 837 \)
- Step 2: \( 93 \times 30 = 2790 \)
- Step 3: \( 837 + 2790 = 3627 \)
- Answer: 3627
16. 62 × 74
- Step 1: \( 62 \times 4 = 248 \)
- Step 2: \( 62 \times 70 = 4340 \)
- Step 3: \( 248 + 4340 = 4588 \)
- Answer: 4588
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Row 5:
17. 73 × 11
- Step 1: \( 73 \times 11 = 73 \times (10 + 1) = 730 + 73 = 803 \)
- Answer: 803
18. 25 × 45
- Step 1: \( 25 \times 5 = 125 \)
- Step 2: \( 25 \times 40 = 1000 \)
- Step 3: \( 125 + 1000 = 1125 \)
- Answer: 1125
19. 86 × 21
- Step 1: \( 86 \times 1 = 86 \)
- Step 2: \( 86 \times 20 = 1720 \)
- Step 3: \( 86 + 1720 = 1806 \)
- Answer: 1806
20. 70 × 34
- Step 1: \( 70 \times 4 = 280 \)
- Step 2: \( 70 \times 30 = 2100 \)
- Step 3: \( 280 + 2100 = 2380 \)
- 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 multiply 2 digit numbers worksheet.