Multiplying And Dividing Decimals By Powers Of 10 Worksheet - Free Printable

Let's solve the problems step by step.

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Part A: Multiplying by Powers of 10

When you multiply a number by a power of 10 (like 10, 100, 1000), you move the decimal point to the right by the number of zeros in the power of 10.

#### Problems:

1) $ 0.432 \times 100 = ? $
- Move decimal 2 places right: $ 0.432 \rightarrow 43.2 $
✔ Answer: 43.2

2) $ 1.92 \times 10 = ? $
- Move decimal 1 place right: $ 1.92 \rightarrow 19.2 $
✔ Answer: 19.2

3) $ 6.3664 \times 1000 = ? $
- Move decimal 3 places right: $ 6.3664 \rightarrow 6366.4 $
✔ Answer: 6366.4

4) $ 3.245 \times 100 = ? $
- Move decimal 2 places right: $ 3.245 \rightarrow 324.5 $
✔ Answer: 324.5

5) $ 2.35 \times 10 = ? $
- Move decimal 1 place right: $ 2.35 \rightarrow 23.5 $
✔ Answer: 23.5

6) $ 1.2364 \times 1000 = ? $
- Move decimal 3 places right: $ 1.2364 \rightarrow 1236.4 $
✔ Answer: 1236.4

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✔ Part A Answers:

1) 43.2
2) 19.2
3) 6366.4
4) 324.5
5) 23.5
6) 1236.4

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Part B: Dividing by Powers of 10

When dividing by powers of 10, move the decimal point to the left by the number of zeros in the divisor.

#### Problems:

1) $ 14.5 \div 10 = ? $
- Move decimal 1 place left: $ 14.5 \rightarrow 1.45 $
✔ Answer: 1.45

2) $ 123.8 \div 100 = ? $
- Move decimal 2 places left: $ 123.8 \rightarrow 1.238 $
✔ Answer: 1.238

3) $ 2366.1 \div 1000 = ? $
- Move decimal 3 places left: $ 2366.1 \rightarrow 2.3661 $
✔ Answer: 2.3661

4) $ 156.2 \div 100 = ? $
- Move decimal 2 places left: $ 156.2 \rightarrow 1.562 $
✔ Answer: 1.562

5) $ 2456.2 \div 1000 = ? $
- Move decimal 3 places left: $ 2456.2 \rightarrow 2.4562 $
✔ Answer: 2.4562

6) $ 26.3 \div 10 = ? $
- Move decimal 1 place left: $ 26.3 \rightarrow 2.63 $
✔ Answer: 2.63

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✔ Part B Answers:

1) 1.45
2) 1.238
3) 2.3661
4) 1.562
5) 2.4562
6) 2.63

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Final Matching:

#### A. Multiplying:
- 1) 0.432 × 100 = 43.2
- 2) 1.92 × 10 = 19.2
- 3) 6.3664 × 1000 = 6366.4
- 4) 3.245 × 100 = 324.5
- 5) 2.35 × 10 = 23.5
- 6) 1.2364 × 1000 = 1236.4

#### B. Dividing:
- 1) 14.5 ÷ 10 = 1.45
- 2) 123.8 ÷ 100 = 1.238
- 3) 2366.1 ÷ 1000 = 2.3661
- 4) 156.2 ÷ 100 = 1.562
- 5) 2456.2 ÷ 1000 = 2.4562
- 6) 26.3 ÷ 10 = 2.63

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✔ Summary:

You can now match each problem with its correct answer from the given green and teal boxes.

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