Scientific notation practice worksheet for converting numbers from scientific notation to standard form.

Let’s solve each problem step by step.

Scientific notation means we have a number like “a × 10^b”, where:
- “a” is a decimal number (like 5.6 or 9.774)
- “10^b” means we move the decimal point in “a” to the right “b” times (if b is positive).

We’ll do this for each problem.

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Problem 1: 5.6 × 10³

Move decimal 3 places right → 5.6 → 56 → 560 → 5600

Problem 2: 5.7 × 10⁵

Move decimal 5 places right → 5.7 → 57 → 570 → 5700 → 57000 → 570000

Problem 3: 4.5 × 10²

Move decimal 2 places right → 4.5 → 45 → 450

Problem 4: 6.85 × 10⁶

Move decimal 6 places right → 6.85 → 68.5 → 685 → 6850 → 68500 → 685000 → 6,850,000

Problem 5: 1.135 × 10⁶

Move decimal 6 places right → 1.135 → 11.35 → 113.5 → 1135 → 11350 → 113500 → 1,135,000

Problem 6: 4.2 × 10¹

Move decimal 1 place right → 4.2 → 42

Problem 7: 7 × 10⁵

7 is same as 7.0 → move decimal 5 places right → 70 → 700 → 7000 → 70000 → 700,000

Problem 8: 6.3 × 10⁴

Move decimal 4 places right → 6.3 → 63 → 630 → 6300 → 63,000

Problem 9: 6.2 × 10³

Move decimal 3 places right → 6.2 → 62 → 620 → 6,200

Problem 10: 7.4 × 10²

Move decimal 2 places right → 7.4 → 74 → 740

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Now the second column:

Problem 11: 9.774 × 10⁶

Move decimal 6 places right → 9.774 → 97.74 → 977.4 → 9774 → 97740 → 977400 → 9,774,000

Problem 12: 3.1 × 10³

Move decimal 3 places right → 3.1 → 31 → 310 → 3,100

Problem 13: 6.6 × 10¹

Move decimal 1 place right → 6.6 → 66

Problem 14: 9 × 10⁵

9 = 9.0 → move decimal 5 places right → 90 → 900 → 9000 → 90000 → 900,000

Problem 15: 9.84 × 10⁶

Move decimal 6 places right → 9.84 → 98.4 → 984 → 9840 → 98400 → 984000 → 9,840,000

Problem 16: 1.6 × 10⁵

Move decimal 5 places right → 1.6 → 16 → 160 → 1600 → 16000 → 160,000

Problem 17: 7.1 × 10²

Move decimal 2 places right → 7.1 → 71 → 710

Problem 18: 2.7 × 10³

Move decimal 3 places right → 2.7 → 27 → 270 → 2,700

Problem 19: 8.41 × 10⁵

Move decimal 5 places right → 8.41 → 84.1 → 841 → 8410 → 84100 → 841,000

Problem 20: 4.5 × 10³

Move decimal 3 places right → 4.5 → 45 → 450 → 4,500

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Final Answer:
1. 5600
2. 570000
3. 450
4. 6850000
5. 1135000
6. 42
7. 700000
8. 63000
9. 6200
10. 740
11. 9774000
12. 3100
13. 66
14. 900000
15. 9840000
16. 160000
17. 710
18. 2700
19. 841000
20. 4500