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Fractions to Decimals
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Fractions to Decimals
📚 Part 1: Converting Fractions to Decimals
1. Convert these fractions to decimals by dividing the numerator by the denominator:
a) 3/10 = 3 ÷ 10 = _______
b) 7/10 = 7 ÷ 10 = _______
c) 25/100 = 25 ÷ 100 = _______
d) 8/100 = 8 ÷ 100 = _______
2. Which decimal represents the fraction 4/10?
0.04
0.4
4.0
0.004
3. Match each fraction to its decimal equivalent by drawing lines:
1/10
50/100
75/100
2/10
0.75
0.1
0.2
0.5
✏️ Part 2: Understanding Place Value
4. Complete the place value chart for the decimal 0.37:
0.37 = _____ tenths + _____ hundredths
5. Which of these fractions are equivalent to 0.6? Tick all that apply:
6/10
60/100
6/100
600/1000
6. Show your working to convert 45/100 to a decimal:
7. Explain in your own words why 3/10 and 0.3 represent the same value:
🎯 Part 3: Real-World Applications
8. Sarah measured 7/10 of a metre of fabric. Write this as a decimal: _______ metres
9. A recipe calls for 25/100 of a kilogram of flour. How would you write this amount as a decimal on digital kitchen scales?
Answer: _______ kg
10. Order these measurements from smallest to largest by writing 1, 2, 3, 4 in the boxes:
0.8 metres
3/10 metres
0.25 metres
9/10 metres
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