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Rational Numbers Practice

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Rational Numbers Practice

Number line with fractions and decimals

🎯 Success Criteria

By the end of this worksheet, I can:

□ Identify rational numbers as fractions and decimals

□ Place rational numbers correctly on a number line

□ Convert between fractions and decimals with 80% accuracy

□ Explain what makes a number "rational"

📚 Part 1: Identifying Rational Numbers

1. Which of these are rational numbers? (Check all that apply)

0.75

3/4

-2.5

1/3

2. Circle the price that costs MORE:

$0.80

$3/4 (three-quarters of a dollar)

3. Which number is closest to 1/2 on a number line?

0.25

0.5

0.75

1.0

🔄 Part 2: Converting Between Fractions and Decimals

4. Convert these fractions to decimals. Show your work:

a) 1/4 = _______

b) 3/5 = _______

5. Convert these decimals to fractions in simplest form:

a) 0.6 = _______

b) 0.25 = _______

6. Extension Challenge: Convert this improper fraction to a decimal:

7/4 = _______

📏 Part 3: Number Line and Reflection

7. Draw a number line from -2 to 2. Mark and label these rational numbers:

-1.5, -1/2, 0, 0.75, 1 1/4

8. In your own words, explain what makes a number "rational." Give two examples.
9. Challenge: The decimal 0.333... (repeating) equals what fraction?

Answer: _______

Explain your thinking:

💡 Learning Support

Need help? Remember these hints:

• To convert fraction to decimal: divide top by bottom

• Common conversions: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75

• Rational numbers can be written as fractions (including whole numbers and decimals)

• Use benchmark numbers (0, 0.5, 1) to help place numbers on the number line

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