Let's solve each multiplication problem step by step. The task is to
multiply decimals (tenths) by powers of ten (like 10, 100, 1000). When multiplying a decimal by a power of ten, you move the decimal point to the right by the number of zeros in the power of ten.
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🔹 Rule:
- Multiply by
10: Move decimal point
1 place to the right
- Multiply by
100: Move decimal point
2 places to the right
- Multiply by
1000: Move decimal point
3 places to the right
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Now, let’s solve each one:
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1.
41.3 × 10
→ Move decimal 1 place right:
413
2.
10.9 × 10
→ Move decimal 1 place right:
109
3.
57.6 × 10
→ Move decimal 1 place right:
576
4.
20.1 × 100
→ Move decimal 2 places right:
2010
5.
49.8 × 100
→ Move decimal 2 places right:
4980
6.
7.9 × 100
→ Move decimal 2 places right:
790
7.
2.8 × 1000
→ Move decimal 3 places right:
2800
8.
6.5 × 1000
→ Move decimal 3 places right:
6500
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✔ Final Answers:
```
41.3 × 10 = 413
10.9 × 10 = 109
57.6 × 10 = 576
20.1 × 100 = 2010
49.8 × 100 = 4980
7.9 × 100 = 790
2.8 × 1000 = 2800
6.5 × 1000 = 6500
```
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🌟 Explanation:
Multiplying by powers of ten shifts the decimal point. This is a quick and easy method for working with decimals and large numbers. Just count how many zeros are in the power of ten and shift the decimal that many places to the right!
Let me know if you'd like a visual explanation or practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals by powers of 10 worksheet.
