Let's solve the problems on this worksheet step by step. The task is to
multiply numbers by powers of 10. When you multiply a number by a power of 10 (like $10^1$, $10^2$, etc.), you simply
move the decimal point to the right by the number of zeros in the power of 10.
For example:
- $5 \times 10^1 = 5 \times 10 = 50$ → move decimal one place right
- $5 \times 10^2 = 5 \times 100 = 500$ → move decimal two places right
Now, let’s go through each problem:
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1. $4 \times 10^1$
- $10^1 = 10$
- $4 \times 10 = 40$
✔ Answer: 40
---
2. $17 \times 10^1$
- $10^1 = 10$
- $17 \times 10 = 170$
✔ Answer: 170
---
3. $51 \times 10^1$
- $51 \times 10 = 510$
✔ Answer: 510
---
4. $216 \times 10^1$
- $216 \times 10 = 2160$
✔ Answer: 2160
---
5. $11 \times 10^1$
- $11 \times 10 = 110$
✔ Answer: 110
---
6. $34 \times 10^1$
- $34 \times 10 = 340$
✔ Answer: 340
---
7. $301 \times 10^1$
- $301 \times 10 = 3010$
✔ Answer: 3010
---
8. $103 \times 10^1$
- $103 \times 10 = 1030$
✔ Answer: 1030
---
9. $8 \times 10^2$
- $10^2 = 100$
- $8 \times 100 = 800$
✔ Answer: 800
---
10. $16 \times 10^2$
- $16 \times 100 = 1600$
✔ Answer: 1600
---
11. $62 \times 10^2$
- $62 \times 100 = 6200$
✔ Answer: 6200
---
12. $1 \times 10^2$
- $1 \times 100 = 100$
✔ Answer: 100
---
13. $10 \times 10^2$
- $10 \times 100 = 1000$
✔ Answer: 1000
---
14. $17 \times 10^2$
- $17 \times 100 = 1700$
✔ Answer: 1700
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $4 \times 10^1$ | 40 |
| 2. $17 \times 10^1$ | 170 |
| 3. $51 \times 10^1$ | 510 |
| 4. $216 \times 10^1$ | 2160 |
| 5. $11 \times 10^1$ | 110 |
| 6. $34 \times 10^1$ | 340 |
| 7. $301 \times 10^1$ | 3010 |
| 8. $103 \times 10^1$ | 1030 |
| 9. $8 \times 10^2$ | 800 |
| 10. $16 \times 10^2$ | 1600 |
| 11. $62 \times 10^2$ | 6200 |
| 12. $1 \times 10^2$ | 100 |
| 13. $10 \times 10^2$ | 1000 |
| 14. $17 \times 10^2$ | 1700 |
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📝 Explanation:
- When multiplying by $10^n$, you move the decimal point
n places to the right.
- For example, $10^1 = 10$: move decimal 1 place right.
- $10^2 = 100$: move decimal 2 places right.
- If there's no visible decimal, it's at the end of the number (e.g., 4 = 4.0).
This concept helps with understanding place value and scientific notation.
Let me know if you'd like a printable version or a visual explanation!
Parent Tip: Review the logic above to help your child master the concept of powers of ten worksheet.
