Let's solve each problem step by step.
We are multiplying whole numbers by powers of ten. Remember:
- $10^0 = 1$
- $10^1 = 10$
- $10^2 = 100$
- $10^3 = 1,000$
When you multiply a number by a power of ten, you
add zeros to the end of the number equal to the exponent.
For example:
- $13 \times 10^2 = 13 \times 100 = 1,300$
- $14 \times 10^1 = 14 \times 10 = 140$
Let’s go through all the problems:
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First Column:
1. $13 \times 10^2 = 13 \times 100 = 1,300$
2. $13 \times 10^1 = 13 \times 10 = 130$
3. $13 \times 10^3 = 13 \times 1,000 = 13,000$
4. $20 \times 10^1 = 20 \times 10 = 200$
5. $20 \times 10^2 = 20 \times 100 = 2,000$
6. $20 \times 10^3 = 20 \times 1,000 = 20,000$
7. $18 \times 10^1 = 18 \times 10 = 180$
8. $18 \times 10^2 = 18 \times 100 = 1,800$
9. $18 \times 10^3 = 18 \times 1,000 = 18,000$
---
Second Column:
10. $14 \times 10^1 = 14 \times 10 = 140$
11. $14 \times 10^3 = 14 \times 1,000 = 14,000$
12. $14 \times 10^2 = 14 \times 100 = 1,400$
13. $25 \times 10^3 = 25 \times 1,000 = 25,000$
14. $25 \times 10^2 = 25 \times 100 = 2,500$
15. $25 \times 10^1 = 25 \times 10 = 250$
16. $26 \times 10^3 = 26 \times 1,000 = 26,000$
17. $26 \times 10^2 = 26 \times 100 = 2,600$
18. $26 \times 10^1 = 26 \times 10 = 260$
---
Third Column:
19. $30 \times 10^2 = 30 \times 100 = 3,000$
20. $40 \times 10^3 = 40 \times 1,000 = 40,000$
21. $50 \times 10^1 = 50 \times 10 = 500$
22. $60 \times 10^2 = 60 \times 100 = 6,000$
23. $70 \times 10^0 = 70 \times 1 = 70$
24. $80 \times 10^0 = 80 \times 1 = 80$
---
Final Answers:
| Problem | Answer |
|--------|--------|
| $13 \times 10^2$ | 1,300 |
| $14 \times 10^1$ | 140 |
| $13 \times 10^1$ | 130 |
| $14 \times 10^3$ | 14,000 |
| $13 \times 10^3$ | 13,000 |
| $14 \times 10^2$ | 1,400 |
| $20 \times 10^1$ | 200 |
| $25 \times 10^3$ | 25,000 |
| $30 \times 10^2$ | 3,000 |
| $20 \times 10^2$ | 2,000 |
| $25 \times 10^2$ | 2,500 |
| $40 \times 10^3$ | 40,000 |
| $20 \times 10^3$ | 20,000 |
| $25 \times 10^1$ | 250 |
| $50 \times 10^1$ | 500 |
| $18 \times 10^1$ | 180 |
| $26 \times 10^3$ | 26,000 |
| $60 \times 10^2$ | 6,000 |
| $18 \times 10^2$ | 1,800 |
| $26 \times 10^2$ | 2,600 |
| $70 \times 10^0$ | 70 |
| $18 \times 10^3$ | 18,000 |
| $26 \times 10^1$ | 260 |
| $80 \times 10^0$ | 80 |
✔ All problems solved!
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Explanation Summary:
- Multiplying by $10^n$ means adding
n zeros to the number.
- For $10^0$, the result is 1, so the number stays the same.
- This rule works because our number system is base-10.
Let me know if you'd like this printed or formatted as a worksheet!
Parent Tip: Review the logic above to help your child master the concept of 5th grade math exponents worksheet.