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Rational Numbers Number Line

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Rational Numbers Number Line

Number line with rational numbers

🎯 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

☐ Describe positions relative to benchmarks (0, ½, 1)

☐ Convert between fractions and decimals

📍 Part 1: Plotting Rational Numbers

1. Draw a number line from 0 to 2. Mark and label the benchmarks 0, ½, 1, 1½, and 2.
2. Plot these rational numbers on your number line above:

a) 0.25     b) ¾     c) 1.5     d)

3. Circle the number that is closest to the benchmark ½:

0.4

0.6

0.8

0.2

4. Which rational number is between ½ and 1?

0.25

0.75

1.25

0.4

✏️ Part 2: Describing Positions & Converting

5. Complete the sentences using the words: left, right, between, closer

a) The number 0.3 is to the _______ of ½ on the number line.

b) The fraction ¾ is _______ to 1 than to ½.

c) The decimal 1.25 is _______ 1 and 1½.

6. Convert these fractions to decimals:

a) ¼ = _______

b) ¾ = _______

c) ⅕ = _______

7. Convert these decimals to fractions in simplest form:

a) 0.5 = _______

b) 0.75 = _______

c) 0.2 = _______

8. Extension Challenge: Draw a number line from -2 to 2. Plot these rational numbers and their opposites:

1.5, -0.5, ¾, -1¼

9. Explain in your own words: What makes a number "rational"? Give two examples.
10. Real-World Connection: A recipe calls for 0.75 cups of flour. Write this as a fraction and explain where it would be on a number line compared to ½ cup and 1 cup.

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