Let’s solve the worksheet step by step.
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Part 1: Complete the chart — Divide each number by 10, 100, and 1000
When dividing by 10, 100, or 1000, you move the decimal point to the left:
- ÷10 → move decimal 1 place left
- ÷100 → move decimal 2 places left
- ÷1000 → move decimal 3 places left
Let’s do each row:
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Row 1: 4,567
- ÷10 = 456.7
- ÷100 = 45.67
- ÷1000 = 4.567
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Row 2: 369
- ÷10 = 36.9
- ÷100 = 3.69
- ÷1000 = 0.369
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Row 3: 85
- ÷10 = 8.5
- ÷100 = 0.85
- ÷1000 = 0.085
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Row 4: 76,234
- ÷10 = 7,623.4
- ÷100 = 762.34
- ÷1000 = 76.234
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Row 5: 236.7
- ÷10 = 23.67
- ÷100 = 2.367
- ÷1000 = 0.2367
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Row 6: 89.1
- ÷10 = 8.91
- ÷100 = 0.891
- ÷1000 = 0.0891
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Row 7: 127,897
- ÷10 = 12,789.7
- ÷100 = 1,278.97
- ÷1000 = 127.897
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✔ Completed Chart:
| Number | ÷10 | ÷100 | ÷1000 |
|----------|-----------|-----------|-----------|
| 4 567 | 456.7 | 45.67 | 4.567 |
| 369 | 36.9 | 3.69 | 0.369 |
| 85 | 8.5 | 0.85 | 0.085 |
| 76 234 | 7 623.4 | 762.34 | 76.234 |
| 236.7 | 23.67 | 2.367 | 0.2367 |
| 89.1 | 8.91 | 0.891 | 0.0891 |
| 127 897 | 12 789.7 | 1 278.97 | 127.897 |
*(Note: Spaces are used for readability, as in the original sheet.)*
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Part 2: Complete the number sentences
These are asking: “What number do I divide by to get this result?”
So we rearrange: If `A = B ÷ X`, then `X = B ÷ A`
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1. 23 = 230 ÷ ___
→ X = 230 ÷ 23 =
10
✔ Answer:
10
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2. 47 = 4 700 ÷ ___
→ X = 4700 ÷ 47 =
100
✔ Answer:
100
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3. 2.1 = 2 100 ÷ ___
→ X = 2100 ÷ 2.1 =
1000
*(Because 2.1 × 1000 = 2100)*
✔ Answer:
1000
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4. 5.68 = 568 ÷ ___
→ X = 568 ÷ 5.68 =
100
*(Because 5.68 × 100 = 568)*
✔ Answer:
100
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Part 3: Word Problems
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5. How many times larger is 5,748 than 57.48?
To find how many times larger, divide the bigger number by the smaller:
→ 5,748 ÷ 57.48
Let’s simplify:
Notice that 5,748 = 57.48 × 100
(Because moving decimal 2 places right in 57.48 gives 5,748)
✔ Answer:
100 times larger
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6. How many times smaller is 0.456 than 45.6?
“Times smaller” means: 45.6 ÷ 0.456
→ 45.6 ÷ 0.456 = ?
Multiply numerator and denominator by 1000 to eliminate decimals:
= 45,600 ÷ 456 =
100
✔ Answer:
100 times smaller
*(Alternatively: 45.6 ÷ 0.456 = 100 — because 0.456 × 100 = 45.6)*
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7. If a lottery prize of £345,500 was shared between 100 people, how much would they each receive?
→ Total ÷ number of people = 345,500 ÷ 100
Dividing by 100 moves decimal 2 places left:
→ £3,455
✔ Answer:
£3,455
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✔ Final Answers Summary:
Chart (as above)
Number Sentences:
1.
10
2.
100
3.
1000
4.
100
Word Problems:
5.
100 times larger
6.
100 times smaller
7.
£3,455
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Let me know if you’d like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of dividing by 10 100 1000 worksheet.
