Sure! Let’s solve each problem step by step. The task is to
convert numbers from scientific notation into normal (standard) form.
Scientific notation is written as:
a × 10ⁿ, where
1 ≤ a < 10 and
n is an integer.
To convert to normal form:
- If
n is positive, move the decimal point
n places to the right.
- If
n is negative, move the decimal point
n places to the left.
---
1. 2.08 × 10⁷
→ Move decimal 7 places to the right:
2.08 → 20,800,000
✔ Answer: 20,800,000
---
2. 7.48 × 10⁻⁵
→ Move decimal 5 places to the left:
7.48 → 0.0000748
✔ Answer: 0.0000748
---
3. 1 × 10²
→ Move decimal 2 places to the right:
1 → 100
✔ Answer: 100
---
4. 3.006 × 10⁶
→ Move decimal 6 places to the right:
3.006 → 3,006,000
✔ Answer: 3,006,000
---
5. 8.3 × 10²
→ Move decimal 2 places to the right:
8.3 → 830
✔ Answer: 830
---
6. 3.6 × 10⁻⁵
→ Move decimal 5 places to the left:
3.6 → 0.000036
✔ Answer: 0.000036
---
7. 4.61 × 10⁻⁵
→ Move decimal 5 places to the left:
4.61 → 0.0000461
✔ Answer: 0.0000461
---
8. 8.738 × 10⁴
→ Move decimal 4 places to the right:
8.738 → 87,380
✔ Answer: 87,380
---
9. 7.5 × 10⁻³
→ Move decimal 3 places to the left:
7.5 → 0.0075
✔ Answer: 0.0075
---
10. 6.896 × 10⁶
→ Move decimal 6 places to the right:
6.896 → 6,896,000
✔ Answer: 6,896,000
---
##
✔ Final Answers:
1.
20,800,000
2.
0.0000748
3.
100
4.
3,006,000
5.
830
6.
0.000036
7.
0.0000461
8.
87,380
9.
0.0075
10.
6,896,000
Let me know if you’d like to practice converting the other way — from normal form to scientific notation! 😊
Parent Tip: Review the logic above to help your child master the concept of write in scientific notation worksheet.
