Let's solve the worksheet titled
"Multiply by powers of 10". In this case, all problems involve multiplying numbers by
1,000, which is a power of 10 (specifically, $10^3$).
🔍 Key Concept:
When you multiply a number by
1,000, you
add three zeros to the end of the number (or move the decimal point three places to the right, if there were decimals). Since all these numbers are whole numbers, we simply add
three zeros.
---
✔ Solutions:
We'll go row by row:
#### Row 1:
- $39 \times 1,000 = 39,000$
- $45 \times 1,000 = 45,000$
#### Row 2:
- $532 \times 1,000 = 532,000$
- $30 \times 1,000 = 30,000$
#### Row 3:
- $2,285 \times 1,000 = 2,285,000$
- $6,354 \times 1,000 = 6,354,000$
#### Row 4:
- $12 \times 1,000 = 12,000$
- $35 \times 1,000 = 35,000$
#### Row 5:
- $7,671 \times 1,000 = 7,671,000$
- $209 \times 1,000 = 209,000$
#### Row 6:
- $31 \times 1,000 = 31,000$
- $829 \times 1,000 = 829,000$
#### Row 7:
- $40 \times 1,000 = 40,000$
- $38 \times 1,000 = 38,000$
#### Row 8:
- $4,233 \times 1,000 = 4,233,000$
- $95 \times 1,000 = 95,000$
#### Row 9:
- $73 \times 1,000 = 73,000$
- $2,023 \times 1,000 = 2,023,000$
#### Row 10:
- $7,945 \times 1,000 = 7,945,000$
- $4,752 \times 1,000 = 4,752,000$
---
📝 Final Answer Sheet:
```
39 × 1,000 = 39,000 45 × 1,000 = 45,000
532 × 1,000 = 532,000 30 × 1,000 = 30,000
2,285 × 1,000 = 2,285,000 6,354 × 1,000 = 6,354,000
12 × 1,000 = 12,000 35 × 1,000 = 35,000
7,671 × 1,000 = 7,671,000 209 × 1,000 = 209,000
31 × 1,000 = 31,000 829 × 1,000 = 829,000
40 × 1,000 = 40,000 38 × 1,000 = 38,000
4,233 × 1,000 = 4,233,000 95 × 1,000 = 95,000
73 × 1,000 = 73,000 2,023 × 1,000 = 2,023,000
7,945 × 1,000 = 7,945,000 4,752 × 1,000 = 4,752,000
```
---
💡 Explanation:
Multiplying by 1,000 increases the value of a number by three place values. So:
- Each digit shifts
three places to the left.
- You just
append three zeros at the end.
For example:
$ 39 \to 39,000 $ — because 39 becomes 39 thousand.
This concept is fundamental in understanding
place value and
powers of 10.
✔ All answers are correct and follow this simple rule!
Let me know if you'd like a printable version or want to practice with other powers of 10 (like 10, 100, 10,000, etc.)!
Parent Tip: Review the logic above to help your child master the concept of powers of ten worksheet.