Multiply decimals by powers of 10 worksheet with 10 problems on each side.

Let’s solve each problem step by step. When you multiply a decimal or whole number by a power of 10 (like 10², 10³, etc.), you move the decimal point to the right by as many places as the exponent.

For example:
- 10² = 100 → move decimal 2 places right
- 10³ = 1000 → move decimal 3 places right
- 10⁴ = 10000 → move decimal 4 places right

If there aren’t enough digits, add zeros at the end.

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Left Column:

1. 3.1 × 10²
Move decimal 2 places right: 3.1 → 31 → 310
→ 310

2. 3.15 × 10²
Move decimal 2 places right: 3.15 → 31.5 → 315
→ 315

3. 3.157 × 10²
Move decimal 2 places right: 3.157 → 31.57 → 315.7
→ 315.7

4. 4 × 10³
4 is same as 4.000 → move decimal 3 places right: 4000
→ 4000

5. 4.2 × 10³
Move decimal 3 places right: 4.2 → 42 → 420 → 4200
→ 4200

6. 4.28 × 10³
Move decimal 3 places right: 4.28 → 42.8 → 428 → 4280
→ 4280

7. 4.283 × 10³
Move decimal 3 places right: 4.283 → 42.83 → 428.3 → 4283
→ 4283

8. 5 × 10⁴
5 = 5.0000 → move decimal 4 places right: 50000
→ 50000

9. 5.7 × 10⁴
Move decimal 4 places right: 5.7 → 57 → 570 → 5700 → 57000
→ 57000

10. 5.73 × 10⁴
Move decimal 4 places right: 5.73 → 57.3 → 573 → 5730 → 57300
→ 57300

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Right Column:

11. 24 × 10²
24 = 24.00 → move decimal 2 places right: 2400
→ 2400

12. 24.7 × 10²
Move decimal 2 places right: 24.7 → 247 → 2470
→ 2470

13. 24.07 × 10²
Move decimal 2 places right: 24.07 → 240.7 → 2407
→ 2407

14. 24.007 × 10²
Move decimal 2 places right: 24.007 → 240.07 → 2400.7
→ 2400.7

15. 53 × 10³
53 = 53.000 → move decimal 3 places right: 53000
→ 53000

16. 53.8 × 10³
Move decimal 3 places right: 53.8 → 538 → 5380 → 53800
→ 53800

17. 53.08 × 10³
Move decimal 3 places right: 53.08 → 530.8 → 5308 → 53080
→ 53080

18. 53.082 × 10³
Move decimal 3 places right: 53.082 → 530.82 → 5308.2 → 53082
→ 53082

19. 9.1 × 10⁴
Move decimal 4 places right: 9.1 → 91 → 910 → 9100 → 91000
→ 91000

20. 91.4 × 10⁴
Move decimal 4 places right: 91.4 → 914 → 9140 → 91400 → 914000
→ 914000

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Final Answer:
3.1 × 10² = 310
3.15 × 10² = 315
3.157 × 10² = 315.7
4 × 10³ = 4000
4.2 × 10³ = 4200
4.28 × 10³ = 4280
4.283 × 10³ = 4283
5 × 10⁴ = 50000
5.7 × 10⁴ = 57000
5.73 × 10⁴ = 57300
24 × 10² = 2400
24.7 × 10² = 2470
24.07 × 10² = 2407
24.007 × 10² = 2400.7
53 × 10³ = 53000
53.8 × 10³ = 53800
53.08 × 10³ = 53080
53.082 × 10³ = 53082
9.1 × 10⁴ = 91000
91.4 × 10⁴ = 914000