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Divide decimals by 10, 100 and 1,000 - Fraction and Decimal ... - Free Printable

Divide decimals by 10, 100 and 1,000 - Fraction and Decimal ...

Educational worksheet: Divide decimals by 10, 100 and 1,000 - Fraction and Decimal .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Divide decimals by 10, 100 and 1,000 - Fraction and Decimal ...
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Let’s go through each part of the worksheet step by step.

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Part 1: Divide these numbers by 10, 100 and 1,000

We remember:
→ Dividing by 10 → move decimal point 1 place to the left
→ Dividing by 100 → move decimal point 2 places to the left
→ Dividing by 1,000 → move decimal point 3 places to the left

Let’s fill in the table:

Row 1: 42
÷10 → 4.2
÷100 → 0.42
÷1000 → 0.042

Row 2: 156
÷10 → 15.6
÷100 → 1.56
÷1000 → 0.156

Row 3: 12.5
÷10 → 1.25
÷100 → 0.125
÷1000 → 0.0125

Row 4: 7 (same as 7.0)
÷10 → 0.7
÷100 → 0.07
÷1000 → 0.007

Row 5: 0.6
÷10 → 0.06
÷100 → 0.006
÷1000 → 0.0006

Row 6: 156.1
÷10 → 15.61
÷100 → 1.561
÷1000 → 0.1561

✔ Table filled correctly.

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Part 2: Fill in the missing numbers

We’re looking for what number you divide by to get the answer.

Remember:
If A ÷ ? = B, then ? = A ÷ B

But actually, it’s easier to think:
What do I divide by to move the decimal point to get the result?

1. 468 ÷ ___ = 4.68
→ 468 → 4.68 → moved decimal 2 places left → divide by 100
✔ Answer: 100

2. 39.1 ÷ ___ = 0.0391
→ 39.1 → 0.0391 → moved decimal 3 places left → divide by 1000
✔ Answer: 1000

3. 88 ÷ ___ = 0.088
→ 88 → 0.088 → moved decimal 3 places left → divide by 1000
✔ Answer: 1000

4. 6.42 ÷ ___ = 0.0642
→ 6.42 → 0.0642 → moved decimal 2 places left → divide by 100
✔ Answer: 100

5. 410 ÷ ___ = 0.41
→ 410 → 0.41 → moved decimal 3 places left → divide by 1000
✔ Answer: 1000

6. 6300 ÷ ___ = 6.3
→ 6300 → 6.3 → moved decimal 3 places left → divide by 1000
✔ Answer: 1000

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Part 3: Word Problems

7. A pack of 1,000 pencils cost £40. How much would one pencil cost?
→ £40 ÷ 1000 = £0.04
✔ Answer: £0.04

8. Mr Icy sold 100 ice creams for £85. How much was each ice cream?
→ £85 ÷ 100 = £0.85
✔ Answer: £0.85

9. Tom bought 10 pizzas for £35.50. How much were they each?
→ £35.50 ÷ 10 = £3.55
✔ Answer: £3.55

10. Zara has divided 356 by 10. Her answer is 3.56. Is she correct?
→ 356 ÷ 10 should be 35.6 (move decimal 1 place left)
→ She got 3.56 — that’s dividing by 100, not 10.
✔ So, No, she is not correct.

Try to explain what Zara has done:
She moved the decimal point two places to the left instead of one. That means she divided by 100, not 10.

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Final Answer:
The completed table values are:
42 → 4.2, 0.42, 0.042
156 → 15.6, 1.56, 0.156
12.5 → 1.25, 0.125, 0.0125
7 → 0.7, 0.07, 0.007
0.6 → 0.06, 0.006, 0.0006
156.1 → 15.61, 1.561, 0.1561

Missing divisors:
1. 100
2. 1000
3. 1000
4. 100
5. 1000
6. 1000

Word problems:
7. £0.04
8. £0.85
9. £3.55
10. No, she is not correct. She divided by 100 instead of 10.
Parent Tip: Review the logic above to help your child master the concept of dividing decimals with 10 100 and 1000 worksheet.
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