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 problem by converting the numbers from scientific notation to ordinary (standard) form.
- If the exponent of 10 is positive, move the decimal point to the right.
- If the exponent of 10 is negative, move the decimal point to the left.
- The number of places you move the decimal equals the absolute value of the exponent.
---
Let’s go through each one step by step:
---
#### 1. $ 2.181 \times 10^7 $
- Move decimal 7 places right:
$ 2.181 \rightarrow 21,810,000 $
✔ 21,810,000
---
#### 2. $ 3.98 \times 10^{-7} $
- Move decimal 7 places left:
$ 3.98 \rightarrow 0.000000398 $
✔ 0.000000398
---
#### 3. $ 1.373 \times 10^5 $
- Move decimal 5 places right:
$ 1.373 \rightarrow 137,300 $
✔ 137,300
---
#### 4. $ 9.23 \times 10^5 $
- Move decimal 5 places right:
$ 9.23 \rightarrow 923,000 $
✔ 923,000
---
#### 5. $ 3.84 \times 10^{-8} $
- Move decimal 8 places left:
$ 3.84 \rightarrow 0.0000000384 $
✔ 0.0000000384
---
#### 6. $ 1.95 \times 10^7 $
- Move decimal 7 places right:
$ 1.95 \rightarrow 19,500,000 $
✔ 19,500,000
---
#### 7. $ 9.174 \times 10^5 $
- Move decimal 5 places right:
$ 9.174 \rightarrow 917,400 $
✔ 917,400
---
#### 8. $ 2.199 \times 10^8 $
- Move decimal 8 places right:
$ 2.199 \rightarrow 219,900,000 $
✔ 219,900,000
---
#### 9. $ 5.9 \times 10^7 $
- Move decimal 7 places right:
$ 5.9 \rightarrow 59,000,000 $
✔ 59,000,000
---
#### 10. $ 6.92 \times 10^{-6} $
- Move decimal 6 places left:
$ 6.92 \rightarrow 0.00000692 $
✔ 0.00000692
---
#### 11. $ 7.39 \times 10^{-8} $
- Move decimal 8 places left:
$ 7.39 \rightarrow 0.0000000739 $
✔ 0.0000000739
---
#### 12. $ 6.06 \times 10^5 $
- Move decimal 5 places right:
$ 6.06 \rightarrow 606,000 $
✔ 606,000
---
#### 13. $ 3.04 \times 10^{-5} $
- Move decimal 5 places left:
$ 3.04 \rightarrow 0.0000304 $
✔ 0.0000304
---
#### 14. $ 4.25 \times 10^6 $
- Move decimal 6 places right:
$ 4.25 \rightarrow 4,250,000 $
✔ 4,250,000
---
#### 15. $ 5.418 \times 10^3 $
- Move decimal 3 places right:
$ 5.418 \rightarrow 5,418 $
✔ 5,418
---
#### 16. $ 3 \times 10^7 $
- Move decimal 7 places right:
$ 3 \rightarrow 30,000,000 $
✔ 30,000,000
---
#### 17. $ 3.855 \times 10^{-7} $
- Move decimal 7 places left:
$ 3.855 \rightarrow 0.0000003855 $
✔ 0.0000003855
---
#### 18. $ 7.12 \times 10^8 $
- Move decimal 8 places right:
$ 7.12 \rightarrow 712,000,000 $
✔ 712,000,000
---
#### 19. $ 4.689 \times 10^{-4} $
- Move decimal 4 places left:
$ 4.689 \rightarrow 0.0004689 $
✔ 0.0004689
---
#### 20. $ 8.39 \times 10^3 $
- Move decimal 3 places right:
$ 8.39 \rightarrow 8,390 $
✔ 8,390
---
| Scientific Notation | Ordinary Number |
|---------------------|------------------|
| $ 2.181 \times 10^7 $ | 21,810,000 |
| $ 3.98 \times 10^{-7} $ | 0.000000398 |
| $ 1.373 \times 10^5 $ | 137,300 |
| $ 9.23 \times 10^5 $ | 923,000 |
| $ 3.84 \times 10^{-8} $ | 0.0000000384 |
| $ 1.95 \times 10^7 $ | 19,500,000 |
| $ 9.174 \times 10^5 $ | 917,400 |
| $ 2.199 \times 10^8 $ | 219,900,000 |
| $ 5.9 \times 10^7 $ | 59,000,000 |
| $ 6.92 \times 10^{-6} $ | 0.00000692 |
| $ 7.39 \times 10^{-8} $ | 0.0000000739 |
| $ 6.06 \times 10^5 $ | 606,000 |
| $ 3.04 \times 10^{-5} $ | 0.0000304 |
| $ 4.25 \times 10^6 $ | 4,250,000 |
| $ 5.418 \times 10^3 $ | 5,418 |
| $ 3 \times 10^7 $ | 30,000,000 |
| $ 3.855 \times 10^{-7} $ | 0.0000003855 |
| $ 7.12 \times 10^8 $ | 712,000,000 |
| $ 4.689 \times 10^{-4} $ | 0.0004689 |
| $ 8.39 \times 10^3 $ | 8,390 |
---
Let me know if you'd like this in a printable format or need help with converting the other way (ordinary → scientific notation)!
🔍 How to Convert Scientific Notation to Ordinary Numbers:
- If the exponent of 10 is positive, move the decimal point to the right.
- If the exponent of 10 is negative, move the decimal point to the left.
- The number of places you move the decimal equals the absolute value of the exponent.
---
Let’s go through each one step by step:
---
#### 1. $ 2.181 \times 10^7 $
- Move decimal 7 places right:
$ 2.181 \rightarrow 21,810,000 $
✔ 21,810,000
---
#### 2. $ 3.98 \times 10^{-7} $
- Move decimal 7 places left:
$ 3.98 \rightarrow 0.000000398 $
✔ 0.000000398
---
#### 3. $ 1.373 \times 10^5 $
- Move decimal 5 places right:
$ 1.373 \rightarrow 137,300 $
✔ 137,300
---
#### 4. $ 9.23 \times 10^5 $
- Move decimal 5 places right:
$ 9.23 \rightarrow 923,000 $
✔ 923,000
---
#### 5. $ 3.84 \times 10^{-8} $
- Move decimal 8 places left:
$ 3.84 \rightarrow 0.0000000384 $
✔ 0.0000000384
---
#### 6. $ 1.95 \times 10^7 $
- Move decimal 7 places right:
$ 1.95 \rightarrow 19,500,000 $
✔ 19,500,000
---
#### 7. $ 9.174 \times 10^5 $
- Move decimal 5 places right:
$ 9.174 \rightarrow 917,400 $
✔ 917,400
---
#### 8. $ 2.199 \times 10^8 $
- Move decimal 8 places right:
$ 2.199 \rightarrow 219,900,000 $
✔ 219,900,000
---
#### 9. $ 5.9 \times 10^7 $
- Move decimal 7 places right:
$ 5.9 \rightarrow 59,000,000 $
✔ 59,000,000
---
#### 10. $ 6.92 \times 10^{-6} $
- Move decimal 6 places left:
$ 6.92 \rightarrow 0.00000692 $
✔ 0.00000692
---
#### 11. $ 7.39 \times 10^{-8} $
- Move decimal 8 places left:
$ 7.39 \rightarrow 0.0000000739 $
✔ 0.0000000739
---
#### 12. $ 6.06 \times 10^5 $
- Move decimal 5 places right:
$ 6.06 \rightarrow 606,000 $
✔ 606,000
---
#### 13. $ 3.04 \times 10^{-5} $
- Move decimal 5 places left:
$ 3.04 \rightarrow 0.0000304 $
✔ 0.0000304
---
#### 14. $ 4.25 \times 10^6 $
- Move decimal 6 places right:
$ 4.25 \rightarrow 4,250,000 $
✔ 4,250,000
---
#### 15. $ 5.418 \times 10^3 $
- Move decimal 3 places right:
$ 5.418 \rightarrow 5,418 $
✔ 5,418
---
#### 16. $ 3 \times 10^7 $
- Move decimal 7 places right:
$ 3 \rightarrow 30,000,000 $
✔ 30,000,000
---
#### 17. $ 3.855 \times 10^{-7} $
- Move decimal 7 places left:
$ 3.855 \rightarrow 0.0000003855 $
✔ 0.0000003855
---
#### 18. $ 7.12 \times 10^8 $
- Move decimal 8 places right:
$ 7.12 \rightarrow 712,000,000 $
✔ 712,000,000
---
#### 19. $ 4.689 \times 10^{-4} $
- Move decimal 4 places left:
$ 4.689 \rightarrow 0.0004689 $
✔ 0.0004689
---
#### 20. $ 8.39 \times 10^3 $
- Move decimal 3 places right:
$ 8.39 \rightarrow 8,390 $
✔ 8,390
---
✔ Final Answers:
| Scientific Notation | Ordinary Number |
|---------------------|------------------|
| $ 2.181 \times 10^7 $ | 21,810,000 |
| $ 3.98 \times 10^{-7} $ | 0.000000398 |
| $ 1.373 \times 10^5 $ | 137,300 |
| $ 9.23 \times 10^5 $ | 923,000 |
| $ 3.84 \times 10^{-8} $ | 0.0000000384 |
| $ 1.95 \times 10^7 $ | 19,500,000 |
| $ 9.174 \times 10^5 $ | 917,400 |
| $ 2.199 \times 10^8 $ | 219,900,000 |
| $ 5.9 \times 10^7 $ | 59,000,000 |
| $ 6.92 \times 10^{-6} $ | 0.00000692 |
| $ 7.39 \times 10^{-8} $ | 0.0000000739 |
| $ 6.06 \times 10^5 $ | 606,000 |
| $ 3.04 \times 10^{-5} $ | 0.0000304 |
| $ 4.25 \times 10^6 $ | 4,250,000 |
| $ 5.418 \times 10^3 $ | 5,418 |
| $ 3 \times 10^7 $ | 30,000,000 |
| $ 3.855 \times 10^{-7} $ | 0.0000003855 |
| $ 7.12 \times 10^8 $ | 712,000,000 |
| $ 4.689 \times 10^{-4} $ | 0.0004689 |
| $ 8.39 \times 10^3 $ | 8,390 |
---
Let me know if you'd like this in a printable format or need help with converting the other way (ordinary → scientific notation)!
Parent Tip: Review the logic above to help your child master the concept of scientific notation worksheet 8th grade.