Multiplying and Dividing by Powers of 10 worksheet with problems to solve.
Worksheet titled "Multiplying and Dividing by Powers of 10" from SplashLearn, featuring problems to find products and quotients involving scientific notation.
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Step-by-step solution for: United Kingdom negative exponents of 10 (power of 10) Math
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Show Answer Key & Explanations
Step-by-step solution for: United Kingdom negative exponents of 10 (power of 10) Math
You're working on a worksheet titled “Multiplying and Dividing by Powers of 10” from SplashLearn. The goal is to compute products (multiplication) and quotients (division) involving powers of 10.
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## ✔ Key Concept:
When multiplying or dividing by powers of 10, you simply move the decimal point:
- Multiplying by 10ⁿ: Move the decimal point n places to the right.
- Dividing by 10ⁿ: Move the decimal point n places to the left.
If there are not enough digits, add zeros as placeholders.
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# 📌 Part 1: Find the Product (Multiply)
1. 5.93 × 10¹
→ Move decimal 1 place right → 59.3
2. 0.83 × 10²
→ Move decimal 2 places right → 83
3. 44.2 × 10⁴
→ Move decimal 4 places right → 442,000
4. 6.101 × 10²
→ Move decimal 2 places right → 610.1
5. 0.0351 × 10³
→ Move decimal 3 places right → 35.1
6. 9.12 × 10³
→ Move decimal 3 places right → 9,120
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7. 1.372 × 10³
→ Move decimal 3 places right → 1,372
8. 9.2 × 10⁵
→ Move decimal 5 places right → 920,000
9. 0.06 × 10¹
→ Move decimal 1 place right → 0.6
10. 0.140 × 10²
→ Move decimal 2 places right → 14.0 (or just 14)
11. 13.13 × 10⁴
→ Move decimal 4 places right → 131,300
12. 80.93 × 10³
→ Move decimal 3 places right → 80,930
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# 📌 Part 2: Find the Quotient (Divide)
1. 482 ÷ 10¹
→ Move decimal 1 place left → 48.2
2. 77.49 ÷ 10²
→ Move decimal 2 places left → 0.7749
3. 45 ÷ 10⁴
→ Move decimal 4 places left → 0.0045
4. 502 ÷ 10²
→ Move decimal 2 places left → 5.02
5. 293.3 ÷ 10³
→ Move decimal 3 places left → 0.2933
6. 14.52 ÷ 10³
→ Move decimal 3 places left → 0.01452
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7. 6,214.7 ÷ 10³
→ Move decimal 3 places left → 6.2147
8. 361.7 ÷ 10⁵
→ Move decimal 5 places left → 0.003617
9. 100.3 ÷ 10¹
→ Move decimal 1 place left → 10.03
10. 4.3 ÷ 10²
→ Move decimal 2 places left → 0.043
11. 22.09 ÷ 10⁴
→ Move decimal 4 places left → 0.002209
12. 0.42 ÷ 10³
→ Move decimal 3 places left → 0.00042
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## ✔ Final Answers:
| Problem | Answer |
|---------------------|------------|
| 5.93 × 10¹ | 59.3 |
| 0.83 × 10² | 83 |
| 44.2 × 10⁴ | 442,000|
| 6.101 × 10² | 610.1 |
| 0.0351 × 10³ | 35.1 |
| 9.12 × 10³ | 9,120 |
| 1.372 × 10³ | 1,372 |
| 9.2 × 10⁵ | 920,000|
| 0.06 × 10¹ | 0.6 |
| 0.140 × 10² | 14 |
| 13.13 × 10⁴ | 131,300|
| 80.93 × 10³ | 80,930 |
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| Problem | Answer |
|---------------------|--------------|
| 482 ÷ 10¹ | 48.2 |
| 77.49 ÷ 10² | 0.7749 |
| 45 ÷ 10⁴ | 0.0045 |
| 502 ÷ 10² | 5.02 |
| 293.3 ÷ 10³ | 0.2933 |
| 14.52 ÷ 10³ | 0.01452 |
| 6,214.7 ÷ 10³ | 6.2147 |
| 361.7 ÷ 10⁵ | 0.003617 |
| 100.3 ÷ 10¹ | 10.03 |
| 4.3 ÷ 10² | 0.043 |
| 22.09 ÷ 10⁴ | 0.002209 |
| 0.42 ÷ 10³ | 0.00042 |
---
✔ You’re all set! Just fill in the boxes with these answers. Let me know if you’d like a printable version or further explanation!
---
## ✔ Key Concept:
When multiplying or dividing by powers of 10, you simply move the decimal point:
- Multiplying by 10ⁿ: Move the decimal point n places to the right.
- Dividing by 10ⁿ: Move the decimal point n places to the left.
If there are not enough digits, add zeros as placeholders.
---
# 📌 Part 1: Find the Product (Multiply)
Left Column:
1. 5.93 × 10¹
→ Move decimal 1 place right → 59.3
2. 0.83 × 10²
→ Move decimal 2 places right → 83
3. 44.2 × 10⁴
→ Move decimal 4 places right → 442,000
4. 6.101 × 10²
→ Move decimal 2 places right → 610.1
5. 0.0351 × 10³
→ Move decimal 3 places right → 35.1
6. 9.12 × 10³
→ Move decimal 3 places right → 9,120
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Right Column:
7. 1.372 × 10³
→ Move decimal 3 places right → 1,372
8. 9.2 × 10⁵
→ Move decimal 5 places right → 920,000
9. 0.06 × 10¹
→ Move decimal 1 place right → 0.6
10. 0.140 × 10²
→ Move decimal 2 places right → 14.0 (or just 14)
11. 13.13 × 10⁴
→ Move decimal 4 places right → 131,300
12. 80.93 × 10³
→ Move decimal 3 places right → 80,930
---
# 📌 Part 2: Find the Quotient (Divide)
Left Column:
1. 482 ÷ 10¹
→ Move decimal 1 place left → 48.2
2. 77.49 ÷ 10²
→ Move decimal 2 places left → 0.7749
3. 45 ÷ 10⁴
→ Move decimal 4 places left → 0.0045
4. 502 ÷ 10²
→ Move decimal 2 places left → 5.02
5. 293.3 ÷ 10³
→ Move decimal 3 places left → 0.2933
6. 14.52 ÷ 10³
→ Move decimal 3 places left → 0.01452
---
Right Column:
7. 6,214.7 ÷ 10³
→ Move decimal 3 places left → 6.2147
8. 361.7 ÷ 10⁵
→ Move decimal 5 places left → 0.003617
9. 100.3 ÷ 10¹
→ Move decimal 1 place left → 10.03
10. 4.3 ÷ 10²
→ Move decimal 2 places left → 0.043
11. 22.09 ÷ 10⁴
→ Move decimal 4 places left → 0.002209
12. 0.42 ÷ 10³
→ Move decimal 3 places left → 0.00042
---
## ✔ Final Answers:
Find the Product:
| Problem | Answer |
|---------------------|------------|
| 5.93 × 10¹ | 59.3 |
| 0.83 × 10² | 83 |
| 44.2 × 10⁴ | 442,000|
| 6.101 × 10² | 610.1 |
| 0.0351 × 10³ | 35.1 |
| 9.12 × 10³ | 9,120 |
| 1.372 × 10³ | 1,372 |
| 9.2 × 10⁵ | 920,000|
| 0.06 × 10¹ | 0.6 |
| 0.140 × 10² | 14 |
| 13.13 × 10⁴ | 131,300|
| 80.93 × 10³ | 80,930 |
---
Find the Quotient:
| Problem | Answer |
|---------------------|--------------|
| 482 ÷ 10¹ | 48.2 |
| 77.49 ÷ 10² | 0.7749 |
| 45 ÷ 10⁴ | 0.0045 |
| 502 ÷ 10² | 5.02 |
| 293.3 ÷ 10³ | 0.2933 |
| 14.52 ÷ 10³ | 0.01452 |
| 6,214.7 ÷ 10³ | 6.2147 |
| 361.7 ÷ 10⁵ | 0.003617 |
| 100.3 ÷ 10¹ | 10.03 |
| 4.3 ÷ 10² | 0.043 |
| 22.09 ÷ 10⁴ | 0.002209 |
| 0.42 ÷ 10³ | 0.00042 |
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✔ You’re all set! Just fill in the boxes with these answers. Let me know if you’d like a printable version or further explanation!
Parent Tip: Review the logic above to help your child master the concept of powers of 10 worksheets.
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