Let's solve the worksheet step by step and explain the reasoning behind each answer.
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Part 1: Multiplying decimals by 10, 100, or 1,000
When multiplying a decimal by 10, 100, or 1,000, you move the decimal point to the
right:
- ×10 → move decimal
1 place right
- ×100 → move decimal
2 places right
- ×1,000 → move decimal
3 places right
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####
Solutions:
1.
23.5 × 100 = ?
Move decimal 2 places right:
23.5 → 2350
✔ 2350
2.
1.15 × 100 = ?
Move decimal 2 places right:
1.15 → 115
✔ 115
3.
4.97 × 10 = ?
Move decimal 1 place right:
4.97 → 49.7
✔ 49.7
4.
69.8 × 100 = ?
Move decimal 2 places right:
69.8 → 6980
✔ 6980
5.
0.12 × 1,000 = ?
Move decimal 3 places right:
0.12 → 120
✔ 120
6.
0.28 × 100 = ?
Move decimal 2 places right:
0.28 → 28
✔ 28
7.
24.4 × 10 = ?
Move decimal 1 place right:
24.4 → 244
✔ 244
8.
5.08 × 100 = ?
Move decimal 2 places right:
5.08 → 508
✔ 508
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Part 2: Dividing decimals by 10, 100, or 1,000
When dividing a decimal by 10, 100, or 1,000, you move the decimal point to the
left:
- ÷10 → move decimal
1 place left
- ÷100 → move decimal
2 places left
- ÷1,000 → move decimal
3 places left
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####
Solutions:
1)
7.0 ÷ 100 = ?
Move decimal 2 places left:
7.0 → 0.07
✔ 0.07
2)
2.2 ÷ 100 = ?
Move decimal 2 places left:
2.2 → 0.022
✔ 0.022
3)
1.4 ÷ 10 = ?
Move decimal 1 place left:
1.4 → 0.14
✔ 0.14
4)
7.7 ÷ 100 = ?
Move decimal 2 places left:
7.7 → 0.077
✔ 0.077
5)
0.5 ÷ 1000 = ?
Move decimal 3 places left:
0.5 → 0.0005
✔ 0.0005
6)
1.2 ÷ 10 = ?
Move decimal 1 place left:
1.2 → 0.12
✔ 0.12
7)
7.5 ÷ 100 = ?
Move decimal 2 places left:
7.5 → 0.075
✔ 0.075
8)
6.9 ÷ 100 = ?
Move decimal 2 places left:
6.9 → 0.069
✔ 0.069
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✔ Final Answers:
####
Multiplying:
1. 2350
2. 115
3. 49.7
4. 6980
5. 120
6. 28
7. 244
8. 508
####
Dividing:
1) 0.07
2) 0.022
3) 0.14
4) 0.077
5) 0.0005
6) 0.12
7) 0.075
8) 0.069
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🔍 Explanation Summary:
-
Multiplication: Moving the decimal to the
right increases the value.
-
Division: Moving the decimal to the
left decreases the value.
- The number of places moved depends on the power of 10 (10 = 1 place, 100 = 2 places, etc.).
This is a key concept in understanding place value with decimals!
Let me know if you'd like this printed or formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of dividing decimals with 10 100 and 1000 worksheet.
