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.).
🔍 Key Concept:
When you multiply a number by $10^n$, you move the decimal point
n places to the right.
For example:
- $3.5 \times 10^2 = 350$ → move decimal 2 places right
- $0.4 \times 10^3 = 400$ → move decimal 3 places right
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Now, let’s solve each problem step-by-step:
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✔ Left Column:
1.
$.8 \times 10^2 =$
- Move decimal 2 places right: $0.8 \rightarrow 80$
-
Answer: 80
2.
$1.24 \times 10^3 =$
- Move decimal 3 places right: $1.24 \rightarrow 1240$
-
Answer: 1240
3.
$.6 \times 10^2 =$
- Move decimal 2 places right: $0.6 \rightarrow 60$
-
Answer: 60
4.
$.89 \times 10^4 =$
- Move decimal 4 places right: $0.89 \rightarrow 8900$
-
Answer: 8900
5.
$13.7 \times 10^2 =$
- Move decimal 2 places right: $13.7 \rightarrow 1370$
-
Answer: 1370
6.
$20.8 \times 10^4 =$
- Move decimal 4 places right: $20.8 \rightarrow 208000$
-
Answer: 208000
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✔ Right Column:
7.
$.67 \times 10^3 =$
- Move decimal 3 places right: $0.67 \rightarrow 670$
-
Answer: 670
8.
$300.2 \times 10^2 =$
- Move decimal 2 places right: $300.2 \rightarrow 30020$
-
Answer: 30020
9.
$9.61 \times 10^6 =$
- Move decimal 6 places right: $9.61 \rightarrow 9610000$
-
Answer: 9,610,000
10.
$80.6 \times 10^4 =$
- Move decimal 4 places right: $80.6 \rightarrow 806000$
-
Answer: 806,000
11.
$.54 \times 10^2 =$
- Move decimal 2 places right: $0.54 \rightarrow 54$
-
Answer: 54
12.
$12.89 \times 10^1 =$
- Move decimal 1 place right: $12.89 \rightarrow 128.9$
-
Answer: 128.9
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| $.8 \times 10^2$ |
80 |
| $1.24 \times 10^3$ |
1240 |
| $.6 \times 10^2$ |
60 |
| $.89 \times 10^4$ |
8900 |
| $13.7 \times 10^2$ |
1370 |
| $20.8 \times 10^4$ |
208,000 |
| $.67 \times 10^3$ |
670 |
| $300.2 \times 10^2$ |
30,020 |
| $9.61 \times 10^6$ |
9,610,000 |
| $80.6 \times 10^4$ |
806,000 |
| $.54 \times 10^2$ |
54 |
| $12.89 \times 10^1$ |
128.9 |
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📝 Summary:
To multiply any number by $10^n$, just
move the decimal point n places to the right. If there aren’t enough digits, add zeros.
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 this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of common core math worksheet 8th grade.
