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Advanced Decimal Shifting

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Advanced Decimal Shifting worksheet preview

Advanced Decimal Shifting

Decimal shifting illustration

📚 Part 1: Converting and Shifting

1. Convert 5/8 to a decimal, then multiply by 10:

5/8 = _________ × 10 = _________

2. Convert 7/16 to a decimal, then divide by 100:

7/16 = _________ ÷ 100 = _________

3. Which decimal shifting rule is correct when multiplying by 1,000?

Move decimal point 3 places to the left

Move decimal point 3 places to the right

Move decimal point 2 places to the right

Don't move the decimal point

4. Complete the pattern:

0.625 × 10 = 6.25

0.625 × 100 = _________

0.625 × 1,000 = _________

🔢 Part 2: Real-World Applications

5. A recipe calls for 1/8 of a litre of oil per serving. How much oil is needed for 100 servings?

Answer: _________ litres

6. If 3/16 of a kilogram of cheese costs $0.1875, what would 10 kilograms cost?

Answer: $ _________

7. A measurement shows 0.375 metres. Express this in:

Centimetres: _________ cm (multiply by 100)

Millimetres: _________ mm (multiply by 1,000)

✏️ Part 3: Problem Solving

8. Convert 11/32 to a decimal (to 3 decimal places), then multiply by 1,000:
9. A shop sells fabric at $0.4375 per metre. If they want to price it per centimetre, what would the price be?
10. Explain in your own words: Why does multiplying by 10 move the decimal point one place to the right?

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