Converting Scientific Notation to Ordinary Numbers (A) - Free Printable
Educational worksheet: Converting Scientific Notation to Ordinary Numbers (A). Download and print for classroom or home learning activities.
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Step-by-step solution for: Converting Scientific Notation to Ordinary Numbers (A)
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Show Answer Key & Explanations
Step-by-step solution for: Converting Scientific Notation to Ordinary Numbers (A)
Let's solve each of these scientific notation problems by converting them into ordinary numbers (standard decimal form). The general rule is:
- If the exponent on 10 is positive, move the decimal point to the right.
- If the exponent on 10 is negative, move the decimal point to the left.
We'll go through each one step by step.
---
1. 2.181 × 10⁷
→ Move decimal 7 places right:
2.181 → 21,810,000
✔ 21,810,000
2. 1.373 × 10⁵
→ Move decimal 5 places right:
1.373 → 137,300
✔ 137,300
3. 3.84 × 10⁻⁸
→ Move decimal 8 places left:
3.84 → 0.0000000384
✔ 0.0000000384
4. 9.174 × 10⁵
→ Move decimal 5 places right:
9.174 → 917,400
✔ 917,400
5. 5.9 × 10⁷
→ Move decimal 7 places right:
5.9 → 59,000,000
✔ 59,000,000
6. 7.39 × 10⁻⁸
→ Move decimal 8 places left:
7.39 → 0.0000000739
✔ 0.0000000739
7. 3.04 × 10⁻⁵
→ Move decimal 5 places left:
3.04 → 0.0000304
✔ 0.0000304
8. 5.418 × 10³
→ Move decimal 3 places right:
5.418 → 5,418
✔ 5,418
9. 3.855 × 10⁻⁷
→ Move decimal 7 places left:
3.855 → 0.0000003855
✔ 0.0000003855
10. 4.689 × 10⁻⁴
→ Move decimal 4 places left:
4.689 → 0.0004689
✔ 0.0004689
---
1. 3.98 × 10⁻⁷
→ Move decimal 7 places left:
3.98 → 0.000000398
✔ 0.000000398
2. 9.23 × 10⁵
→ Move decimal 5 places right:
9.23 → 923,000
✔ 923,000
3. 1.95 × 10⁷
→ Move decimal 7 places right:
1.95 → 19,500,000
✔ 19,500,000
4. 2.199 × 10⁸
→ Move decimal 8 places right:
2.199 → 219,900,000
✔ 219,900,000
5. 6.92 × 10⁻⁶
→ Move decimal 6 places left:
6.92 → 0.00000692
✔ 0.00000692
6. 6.06 × 10⁶
→ Move decimal 6 places right:
6.06 → 6,060,000
✔ 6,060,000
7. 4.25 × 10⁶
→ Move decimal 6 places right:
4.25 → 4,250,000
✔ 4,250,000
8. 3 × 10⁷
→ Move decimal 7 places right:
3 → 30,000,000
✔ 30,000,000
9. 7.12 × 10⁸
→ Move decimal 8 places right:
7.12 → 712,000,000
✔ 712,000,000
10. 8.39 × 10³
→ Move decimal 3 places right:
8.39 → 8,390
✔ 8,390
---
| Scientific Notation | Ordinary Number |
|----------------------------|--------------------------|
| 2.181 × 10⁷ | 21,810,000 |
| 1.373 × 10⁵ | 137,300 |
| 3.84 × 10⁻⁸ | 0.0000000384 |
| 9.174 × 10⁵ | 917,400 |
| 5.9 × 10⁷ | 59,000,000 |
| 7.39 × 10⁻⁸ | 0.0000000739 |
| 3.04 × 10⁻⁵ | 0.0000304 |
| 5.418 × 10³ | 5,418 |
| 3.855 × 10⁻⁷ | 0.0000003855 |
| 4.689 × 10⁻⁴ | 0.0004689 |
| 3.98 × 10⁻⁷ | 0.000000398 |
| 9.23 × 10⁵ | 923,000 |
| 1.95 × 10⁷ | 19,500,000 |
| 2.199 × 10⁸ | 219,900,000 |
| 6.92 × 10⁻⁶ | 0.00000692 |
| 6.06 × 10⁶ | 6,060,000 |
| 4.25 × 10⁶ | 4,250,000 |
| 3 × 10⁷ | 30,000,000 |
| 7.12 × 10⁸ | 712,000,000 |
| 8.39 × 10³ | 8,390 |
---
Let me know if you'd like a printable version or help with converting in reverse (ordinary to scientific notation)!
- If the exponent on 10 is positive, move the decimal point to the right.
- If the exponent on 10 is negative, move the decimal point to the left.
We'll go through each one step by step.
---
Left Column:
1. 2.181 × 10⁷
→ Move decimal 7 places right:
2.181 → 21,810,000
✔ 21,810,000
2. 1.373 × 10⁵
→ Move decimal 5 places right:
1.373 → 137,300
✔ 137,300
3. 3.84 × 10⁻⁸
→ Move decimal 8 places left:
3.84 → 0.0000000384
✔ 0.0000000384
4. 9.174 × 10⁵
→ Move decimal 5 places right:
9.174 → 917,400
✔ 917,400
5. 5.9 × 10⁷
→ Move decimal 7 places right:
5.9 → 59,000,000
✔ 59,000,000
6. 7.39 × 10⁻⁸
→ Move decimal 8 places left:
7.39 → 0.0000000739
✔ 0.0000000739
7. 3.04 × 10⁻⁵
→ Move decimal 5 places left:
3.04 → 0.0000304
✔ 0.0000304
8. 5.418 × 10³
→ Move decimal 3 places right:
5.418 → 5,418
✔ 5,418
9. 3.855 × 10⁻⁷
→ Move decimal 7 places left:
3.855 → 0.0000003855
✔ 0.0000003855
10. 4.689 × 10⁻⁴
→ Move decimal 4 places left:
4.689 → 0.0004689
✔ 0.0004689
---
Right Column:
1. 3.98 × 10⁻⁷
→ Move decimal 7 places left:
3.98 → 0.000000398
✔ 0.000000398
2. 9.23 × 10⁵
→ Move decimal 5 places right:
9.23 → 923,000
✔ 923,000
3. 1.95 × 10⁷
→ Move decimal 7 places right:
1.95 → 19,500,000
✔ 19,500,000
4. 2.199 × 10⁸
→ Move decimal 8 places right:
2.199 → 219,900,000
✔ 219,900,000
5. 6.92 × 10⁻⁶
→ Move decimal 6 places left:
6.92 → 0.00000692
✔ 0.00000692
6. 6.06 × 10⁶
→ Move decimal 6 places right:
6.06 → 6,060,000
✔ 6,060,000
7. 4.25 × 10⁶
→ Move decimal 6 places right:
4.25 → 4,250,000
✔ 4,250,000
8. 3 × 10⁷
→ Move decimal 7 places right:
3 → 30,000,000
✔ 30,000,000
9. 7.12 × 10⁸
→ Move decimal 8 places right:
7.12 → 712,000,000
✔ 712,000,000
10. 8.39 × 10³
→ Move decimal 3 places right:
8.39 → 8,390
✔ 8,390
---
✔ Final Answers:
| Scientific Notation | Ordinary Number |
|----------------------------|--------------------------|
| 2.181 × 10⁷ | 21,810,000 |
| 1.373 × 10⁵ | 137,300 |
| 3.84 × 10⁻⁸ | 0.0000000384 |
| 9.174 × 10⁵ | 917,400 |
| 5.9 × 10⁷ | 59,000,000 |
| 7.39 × 10⁻⁸ | 0.0000000739 |
| 3.04 × 10⁻⁵ | 0.0000304 |
| 5.418 × 10³ | 5,418 |
| 3.855 × 10⁻⁷ | 0.0000003855 |
| 4.689 × 10⁻⁴ | 0.0004689 |
| 3.98 × 10⁻⁷ | 0.000000398 |
| 9.23 × 10⁵ | 923,000 |
| 1.95 × 10⁷ | 19,500,000 |
| 2.199 × 10⁸ | 219,900,000 |
| 6.92 × 10⁻⁶ | 0.00000692 |
| 6.06 × 10⁶ | 6,060,000 |
| 4.25 × 10⁶ | 4,250,000 |
| 3 × 10⁷ | 30,000,000 |
| 7.12 × 10⁸ | 712,000,000 |
| 8.39 × 10³ | 8,390 |
---
Let me know if you'd like a printable version or help with converting in reverse (ordinary to scientific notation)!
Parent Tip: Review the logic above to help your child master the concept of scientific notation practice.