Let's solve each of these scientific notation problems by converting them into
ordinary numbers (standard decimal form).
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🔷 How to Convert Scientific Notation to Ordinary Numbers:
- If the exponent is
positive, move the decimal point to the
right.
- If the exponent is
negative, move the decimal point to the
left.
- Move the decimal point as many places as the exponent indicates.
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Now, let’s go through each one:
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✔ Left Column:
1.
2.181 × 10⁷
→ Move decimal 7 places right:
= 21,810,000
2.
1.373 × 10⁵
→ Move decimal 5 places right:
= 137,300
3.
3.84 × 10⁻⁸
→ Move decimal 8 places left:
= 0.0000000384
4.
9.174 × 10⁵
→ Move decimal 5 places right:
= 917,400
5.
5.9 × 10⁷
→ Move decimal 7 places right:
= 59,000,000
6.
7.39 × 10⁻⁸
→ Move decimal 8 places left:
= 0.0000000739
7.
3.04 × 10⁻⁵
→ Move decimal 5 places left:
= 0.0000304
8.
5.418 × 10³
→ Move decimal 3 places right:
= 5,418
9.
3.855 × 10⁻⁷
→ Move decimal 7 places left:
= 0.0000003855
10.
4.689 × 10⁻⁴
→ Move decimal 4 places left:
= 0.0004689
---
✔ Right Column:
1.
3.98 × 10⁻⁷
→ Move decimal 7 places left:
= 0.000000398
2.
9.23 × 10⁵
→ Move decimal 5 places right:
= 923,000
3.
1.95 × 10⁷
→ Move decimal 7 places right:
= 19,500,000
4.
2.199 × 10⁸
→ Move decimal 8 places right:
= 219,900,000
5.
6.92 × 10⁻⁶
→ Move decimal 6 places left:
= 0.00000692
6.
6.06 × 10⁶
→ Move decimal 6 places right:
= 6,060,000
7.
4.25 × 10⁶
→ Move decimal 6 places right:
= 4,250,000
8.
3 × 10⁷
→ Move decimal 7 places right:
= 30,000,000
9.
7.12 × 10⁸
→ Move decimal 8 places right:
= 712,000,000
10.
8.39 × 10³
→ Move decimal 3 places right:
= 8,390
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✔ Final Answers:
#### Left Column:
1. 2.181 × 10⁷ =
21,810,000
2. 1.373 × 10⁵ =
137,300
3. 3.84 × 10⁻⁸ =
0.0000000384
4. 9.174 × 10⁵ =
917,400
5. 5.9 × 10⁷ =
59,000,000
6. 7.39 × 10⁻⁸ =
0.0000000739
7. 3.04 × 10⁻⁵ =
0.0000304
8. 5.418 × 10³ =
5,418
9. 3.855 × 10⁻⁷ =
0.0000003855
10. 4.689 × 10⁻⁴ =
0.0004689
#### Right Column:
1. 3.98 × 10⁻⁷ =
0.000000398
2. 9.23 × 10⁵ =
923,000
3. 1.95 × 10⁷ =
19,500,000
4. 2.199 × 10⁸ =
219,900,000
5. 6.92 × 10⁻⁶ =
0.00000692
6. 6.06 × 10⁶ =
6,060,000
7. 4.25 × 10⁶ =
4,250,000
8. 3 × 10⁷ =
30,000,000
9. 7.12 × 10⁸ =
712,000,000
10. 8.39 × 10³ =
8,390
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of scientific notation practice problems worksheet.
