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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, decimals, and whole numbers

□ Classify numbers as rational or not rational with explanations

□ Convert between fractions and decimals

□ Explain my reasoning using mathematical vocabulary

📚 Part 1: Identifying Rational Numbers

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

3/4

0.5

7

π (pi)

-2.25

2. A store sells fabric for $0.75 per yard. Which fraction represents this price?

3/4 dollars

7/5 dollars

75/10 dollars

Both A and C

3. Circle the rational numbers and cross out any that are NOT rational:

1/2    √2    -5    0.333...    √9    0

4. True or False: All whole numbers are rational numbers.

True

False

Explain your answer: _________________________________

✏️ Part 2: Converting and Explaining

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

a) 3/4 = _______

b) 7/10 = _______

c) 1/8 = _______

6. Convert these decimals to fractions in simplest form:

a) 0.6 = _______

b) 0.25 = _______

c) 1.5 = _______

7. EXTENSION: For advanced learners - Convert these challenging numbers:

a) 2 1/3 = _______ (mixed number to decimal)

b) 0.666... = _______ (repeating decimal to fraction)

8. Explain in your own words: What makes a number "rational"?
9. Real-World Connection: A recipe calls for 0.75 cups of sugar. Write this amount as a fraction and explain which form (decimal or fraction) would be easier to measure and why.

🎨 Part 3: Visual Thinking

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

Numbers to plot: -1.5, -1/2, 0, 0.75, 1 1/4

11. Reflection: What was the most challenging part of working with rational numbers today? What strategy helped you the most?

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