Let's solve each problem on this 8th-grade math worksheet. The task is to
multiply a decimal number by a power of 10 (like $10^2$, $10^3$, etc.).
🔍 Rule to Remember:
When you multiply a number by $10^n$, you move the decimal point
n places to the right.
For example:
- $3.4 \times 10^2 = 340$ → Move decimal 2 places right.
Now, let’s go through each problem step-by-step:
---
Left Column:
1.
$0.8 \times 10^2$
$10^2 = 100$
$0.8 \times 100 = 80$
✔ Answer: 80
2.
$1.24 \times 10^3$
$10^3 = 1000$
$1.24 \times 1000 = 1240$
✔ Answer: 1240
3.
$0.6 \times 10^2$
$0.6 \times 100 = 60$
✔ Answer: 60
4.
$0.89 \times 10^4$
$10^4 = 10,000$
$0.89 \times 10,000 = 8,900$
✔ Answer: 8,900
5.
$13.7 \times 10^2$
$13.7 \times 100 = 1,370$
✔ Answer: 1,370
6.
$20.8 \times 10^4$
$20.8 \times 10,000 = 208,000$
✔ Answer: 208,000
---
Right Column:
7.
$0.67 \times 10^3$
$0.67 \times 1000 = 670$
✔ Answer: 670
8.
$300.2 \times 10^2$
$300.2 \times 100 = 30,020$
✔ Answer: 30,020
9.
$9.61 \times 10^6$
$9.61 \times 1,000,000 = 9,610,000$
✔ Answer: 9,610,000
10.
$80.6 \times 10^4$
$80.6 \times 10,000 = 806,000$
✔ Answer: 806,000
11.
$0.54 \times 10^2$
$0.54 \times 100 = 54$
✔ Answer: 54
12.
$12.89 \times 10^1$
$10^1 = 10$
$12.89 \times 10 = 128.9$
✔ Answer: 128.9
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| $0.8 \times 10^2$ |
80 |
| $1.24 \times 10^3$ |
1240 |
| $0.6 \times 10^2$ |
60 |
| $0.89 \times 10^4$ |
8,900 |
| $13.7 \times 10^2$ |
1,370 |
| $20.8 \times 10^4$ |
208,000 |
| $0.67 \times 10^3$ |
670 |
| $300.2 \times 10^2$ |
30,020 |
| $9.61 \times 10^6$ |
9,610,000 |
| $80.6 \times 10^4$ |
806,000 |
| $0.54 \times 10^2$ |
54 |
| $12.89 \times 10^1$ |
128.9 |
---
📝 Explanation Summary:
- Multiplying by powers of 10 involves moving the decimal point to the right.
- The number of places moved equals the exponent.
- If there are not enough digits, add zeros as placeholders.
This skill is essential for working with scientific notation and large or small numbers in science and math!
Let me know if you'd like a printable version or explanation with visual examples!
Parent Tip: Review the logic above to help your child master the concept of 8th grade exponent worksheet.
