Certainly! This worksheet asks you to convert numbers from
scientific notation into their
standard numeric form.
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🔢 What is Scientific Notation?
Scientific notation is written as:
>
a × 10ⁿ
Where:
- `a` is a number between 1 and 10 (including 1, but less than 10),
- `n` is an integer (positive or negative),
- The exponent `n` tells you how many places to move the decimal point in `a`.
✔ If n is positive, move the decimal point
to the right.
✔ If n is negative, move the decimal point
to the left.
In this worksheet, all exponents are
positive, so we’ll be moving the decimal point to the
right.
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Let’s solve each problem step by step:
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✔ Worksheet Solutions:
#### Left Column:
1. 5.6 × 10³
→ Move decimal 3 places right: 5.6 → 5600
Answer: 5600
2. 5.7 × 10⁵
→ Move decimal 5 places right: 5.7 → 570000
Answer: 570000
3. 4.5 × 10²
→ Move decimal 2 places right: 4.5 → 450
Answer: 450
4. 6.85 × 10⁶
→ Move decimal 6 places right: 6.85 → 6850000
Answer: 6,850,000
5. 1.135 × 10⁶
→ Move decimal 6 places right: 1.135 → 1135000
Answer: 1,135,000
6. 4.2 × 10¹
→ Move decimal 1 place right: 4.2 → 42
Answer: 42
7. 7 × 10⁵
→ 7.0 → move decimal 5 places right → 700000
Answer: 700,000
8. 6.3 × 10⁴
→ 6.3 → move decimal 4 places right → 63000
Answer: 63,000
9. 6.2 × 10³
→ 6.2 → move decimal 3 places right → 6200
Answer: 6,200
10. 7.4 × 10²
→ 7.4 → move decimal 2 places right → 740
Answer: 740
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#### Right Column:
11. 9.774 × 10⁶
→ Move decimal 6 places right: 9.774 → 9774000
Answer: 9,774,000
12. 3.1 × 10³
→ 3.1 → move decimal 3 places right → 3100
Answer: 3,100
13. 6.6 × 10¹
→ 6.6 → move decimal 1 place right → 66
Answer: 66
14. 9 × 10⁵
→ 9.0 → move decimal 5 places right → 900000
Answer: 900,000
15. 9.84 × 10⁶
→ 9.84 → move decimal 6 places right → 9840000
Answer: 9,840,000
16. 1.6 × 10⁵
→ 1.6 → move decimal 5 places right → 160000
Answer: 160,000
17. 7.1 × 10²
→ 7.1 → move decimal 2 places right → 710
Answer: 710
18. 2.7 × 10³
→ 2.7 → move decimal 3 places right → 2700
Answer: 2,700
19. 8.41 × 10⁵
→ 8.41 → move decimal 5 places right → 841000
Answer: 841,000
20. 4.5 × 10³
→ 4.5 → move decimal 3 places right → 4500
Answer: 4,500
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📝 Final Answer Key:
1. 5600
2. 570000
3. 450
4. 6,850,000
5. 1,135,000
6. 42
7. 700,000
8. 63,000
9. 6,200
10. 740
11. 9,774,000
12. 3,100
13. 66
14. 900,000
15. 9,840,000
16. 160,000
17. 710
18. 2,700
19. 841,000
20. 4,500
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✔ You can now fill these in on your worksheet!
Let me know if you want to practice converting the other way — from standard form to scientific notation!
Parent Tip: Review the logic above to help your child master the concept of power and exponents worksheets.
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