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Converting Scientific Notation to Ordinary Numbers (A) - Free Printable

Converting Scientific Notation to Ordinary Numbers (A)

Educational worksheet: Converting Scientific Notation to Ordinary Numbers (A). Download and print for classroom or home learning activities.

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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.

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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 |

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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.
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