Let’s solve each problem step by step.
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Multiplying decimals by 10, 100, or 1,000
When you multiply 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
If there aren’t enough digits, add zeros at the end.
Let’s go one by one:
1.
23.5 × 100
Move decimal 2 places right: 23.5 → 2350
✔ Answer:
2350
2.
1.15 × 100
Move decimal 2 places right: 1.15 → 115
✔ Answer:
115
3.
4.97 × 10
Move decimal 1 place right: 4.97 → 49.7
✔ Answer:
49.7
4.
69.8 × 100
Move decimal 2 places right: 69.8 → 6980
✔ Answer:
6980
5.
0.12 × 1,000
Move decimal 3 places right: 0.12 → 120
(Add one zero because we only have two digits after moving)
✔ Answer:
120
6.
0.28 × 100
Move decimal 2 places right: 0.28 → 28
✔ Answer:
28
7.
24.4 × 10
Move decimal 1 place right: 24.4 → 244
✔ Answer:
244
8.
5.08 × 100
Move decimal 2 places right: 5.08 → 508
✔ Answer:
508
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Dividing decimals by 10, 100, or 1,000
When you divide 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
If you run out of digits, add zeros in front.
Let’s go one by one:
1.
7.0 ÷ 100
Move decimal 2 places left: 7.0 → 0.07
✔ Answer:
0.07
2.
2.2 ÷ 100
Move decimal 2 places left: 2.2 → 0.022
✔ Answer:
0.022
3.
1.4 ÷ 10
Move decimal 1 place left: 1.4 → 0.14
✔ Answer:
0.14
4.
7.7 ÷ 100
Move decimal 2 places left: 7.7 → 0.077
✔ Answer:
0.077
5.
0.5 ÷ 1000
Move decimal 3 places left: 0.5 → 0.0005
(Add three zeros before the 5)
✔ Answer:
0.0005
6.
1.2 ÷ 10
Move decimal 1 place left: 1.2 → 0.12
✔ Answer:
0.12
7.
7.5 ÷ 100
Move decimal 2 places left: 7.5 → 0.075
✔ Answer:
0.075
8.
6.9 ÷ 100
Move decimal 2 places left: 6.9 → 0.069
✔ Answer:
0.069
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Final Answer:
Multiplying Decimals:
1. 2350
2. 115
3. 49.7
4. 6980
5. 120
6. 28
7. 244
8. 508
Dividing Decimals:
1. 0.07
2. 0.022
3. 0.14
4. 0.077
5. 0.0005
6. 0.12
7. 0.075
8. 0.069
Parent Tip: Review the logic above to help your child master the concept of dividing by 10 100 and 1000 worksheet.
