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:
When you multiply a decimal by 10, 100, or 1000, you're essentially increasing the value by shifting the digits to the left and adding zeros if needed. The decimal point moves to the right based on how many zeros are in the power of ten.
This is a quick way to scale numbers up without doing long multiplication!
Let me know if you'd like a printable version or more practice! 😊
Parent Tip: Review the logic above to help your child master the concept of power of 10 worksheet 5th grade.
