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Decimals and Fractions

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Decimals and Fractions worksheet preview
Decimals and Fractions

Decimals and Fractions

Decimals and fractions illustration

🔢 Part 1: Reading and Writing Decimals

1. Write these decimals in words:

a) 0.3 = ________________________

b) 0.75 = ________________________

c) 0.08 = ________________________

d) 0.46 = ________________________

2. Write these as decimals:

a) Three tenths = _______

b) Twenty-five hundredths = _______

c) Seven hundredths = _______

d) Nine tenths = _______

🔄 Part 2: Converting Between Decimals and Fractions

3. Convert these decimals to fractions:

a) 0.4 = ____/____

b) 0.25 = ____/____

c) 0.7 = ____/____

d) 0.35 = ____/____

4. Convert these fractions to decimals:

a) 6/10 = _______

b) 45/100 = _______

c) 2/10 = _______

d) 80/100 = _______

📊 Part 3: Comparing and Ordering Decimals

5. Circle the larger decimal in each pair:

a)

0.3 or
0.8

b)

0.45 or
0.54

c)

0.7 or
0.07

d)

0.25 or
0.3

6. Order these decimals from smallest to largest:

0.6, 0.25, 0.8, 0.05, 0.4

_______ < _______ < _______ < _______ < _______

🏃‍♂️ Part 4: Real-World Applications

7. Sports Day Results - Convert the race times to fractions:

a) Sarah ran 100m in 0.75 minutes. What fraction of a minute is this? _______

b) Tom's long jump was 0.6 metres. What fraction of a metre is this? _______

c) The relay race was 0.25 kilometres long. What fraction of a kilometre? _______

8. Shopping with Decimals - Circle the correct answers:

Which costs more?

$0.75 or
$0.8

Which is heavier?

0.45 kg or
0.4 kg

🧮 Part 5: Place Value and Mental Maths

9. Complete these multiplication and division patterns:

a) 1.3 × 10 = _______

b) 0.25 × 10 = _______

c) 4.6 ÷ 10 = _______

d) 0.8 × 100 = _______

10. Match the equivalent values:
1. 0.5
2. 0.25
3. 0.75
4. 0.1
A. 1/10
B. 3/4
C. 1/2
D. 1/4

🎨 Part 6: Visual Representation

11. Draw and shade to show these decimals (use squares or circles):

a) 0.3 (three tenths)

b) 0.25 (twenty-five hundredths)

12. Reflection - Write one thing you learned about decimals today:

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