Let's solve each multiplication problem step by step. The goal is to
multiply tenths (decimal numbers) by powers of ten (like 10, 100, 1000), and fill in the missing numbers.
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🔹 Rule Reminder:
When you multiply a decimal number by a power of ten:
- Move the
decimal point to the
right by the number of zeros in the power of ten.
- ×10 → move decimal 1 place right
- ×100 → move decimal 2 places right
- ×1000 → move decimal 3 places right
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Now let's solve each one:
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1.
60.1 × 10 = ?
Move decimal 1 place right:
60.1 →
601
✔ Answer:
601
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2.
? × 10 = 658
We need to find the number that, when multiplied by 10, gives 658.
So divide 658 by 10:
658 ÷ 10 =
65.8
✔ Answer:
65.8
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3.
2.6 × 10 = ?
Move decimal 1 place right:
2.6 →
26
✔ Answer:
26
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4.
44.4 × 100 = ?
Move decimal 2 places right:
44.4 →
4440
✔ Answer:
4440
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5.
52.4 × 100 = ?
Move decimal 2 places right:
52.4 →
5240
✔ Answer:
5240
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6.
? × 100 = 5680
Divide 5680 by 100:
5680 ÷ 100 =
56.8
✔ Answer:
56.8
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7.
? × 1000 = 400
Divide 400 by 1000:
400 ÷ 1000 =
0.4
✔ Answer:
0.4
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8.
2.1 × 1000 = ?
Move decimal 3 places right:
2.1 →
2100
✔ Answer:
2100
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✔ Final Answers:
```
60.1 × 10 = 601
65.8 × 10 = 658
2.6 × 10 = 26
44.4 × 100 = 4440
52.4 × 100 = 5240
56.8 × 100 = 5680
0.4 × 1000 = 400
2.1 × 1000 = 2100
```
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📌 Summary:
- Multiplying by 10, 100, or 1000 moves the decimal point right.
- To find the missing factor, divide the product by the power of ten.
- Always keep track of decimal places!
Let me know if you'd like this explained with visual examples! 😊
Parent Tip: Review the logic above to help your child master the concept of power of 10 worksheets.
