Sure! Let’s solve this worksheet step by step.
---
📌 What is Scientific Notation?
Scientific notation is a way to write very large or very small numbers in the form:
>
a × 10ⁿ
Where:
- `a` is a number between 1 and 10 (1 ≤ a < 10),
- `n` is an integer (positive or negative).
To convert from scientific notation to an ordinary number:
- If the exponent `n` is
positive, move the decimal point `n` places to the
right.
- If the exponent `n` is
negative, move the decimal point `n` places to the
left.
---
Let’s go row by row and convert each number.
---
✔ Row 1:
2.181 × 10⁷ → Move decimal 7 places right →
21,810,000
3.98 × 10⁻⁷ → Move decimal 7 places left →
0.000000398
---
✔ Row 2:
1.373 × 10⁵ → Move decimal 5 places right →
137,300
9.23 × 10⁵ → Move decimal 5 places right →
923,000
---
✔ Row 3:
3.84 × 10⁻⁸ → Move decimal 8 places left →
0.0000000384
1.95 × 10⁷ → Move decimal 7 places right →
19,500,000
---
✔ Row 4:
9.174 × 10⁵ → Move decimal 5 places right →
917,400
2.199 × 10⁸ → Move decimal 8 places right →
219,900,000
---
✔ Row 5:
5.9 × 10⁷ → Move decimal 7 places right →
59,000,000
6.92 × 10⁻⁶ → Move decimal 6 places left →
0.00000692
---
✔ Row 6:
7.39 × 10⁻⁹ → Move decimal 9 places left →
0.00000000739
6.06 × 10⁶ → Move decimal 6 places right →
6,060,000
---
✔ Row 7:
3.04 × 10⁻⁵ → Move decimal 5 places left →
0.0000304
4.25 × 10⁶ → Move decimal 6 places right →
4,250,000
---
✔ Row 8:
5.418 × 10³ → Move decimal 3 places right →
5,418
3 × 10⁷ → Move decimal 7 places right →
30,000,000
---
✔ Row 9:
3.855 × 10⁻⁷ → Move decimal 7 places left →
0.0000003855
7.12 × 10⁸ → Move decimal 8 places right →
712,000,000
---
✔ Row 10:
4.689 × 10⁻⁴ → Move decimal 4 places left →
0.0004689
8.39 × 10³ → Move decimal 3 places right →
8,390
---
## 🧾 Final Answer Sheet:
```
2.181 × 10⁷ = 21,810,000
3.98 × 10⁻⁷ = 0.000000398
1.373 × 10⁵ = 137,300
9.23 × 10⁵ = 923,000
3.84 × 10⁻⁸ = 0.0000000384
1.95 × 10⁷ = 19,500,000
9.174 × 10⁵ = 917,400
2.199 × 10⁸ = 219,900,000
5.9 × 10⁷ = 59,000,000
6.92 × 10⁻⁶ = 0.00000692
7.39 × 10⁻⁹ = 0.00000000739
6.06 × 10⁶ = 6,060,000
3.04 × 10⁻⁵ = 0.0000304
4.25 × 10⁶ = 4,250,000
5.418 × 10³ = 5,418
3 × 10⁷ = 30,000,000
3.855 × 10⁻⁷ = 0.0000003855
7.12 × 10⁸ = 712,000,000
4.689 × 10⁻⁴ = 0.0004689
8.39 × 10³ = 8,390
```
---
✔ All done! Each number has been correctly converted from scientific notation to its ordinary (standard) form.
Let me know if you’d like to practice converting the other way — from ordinary numbers to scientific notation!
Parent Tip: Review the logic above to help your child master the concept of easy scientific notation worksheet.
