Rational Numbers on Number Lines

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📍 Place Rational Numbers

Reminder: Mark 0 first. Identify the whole numbers around the value, then partition the interval into equal parts. Convert between equivalent fractions and decimals when useful.

Useful conversions: 1/2 = 0.5 1/4 = 0.25 3/4 = 0.75 2/3 ≈ 0.67

1. Guided example: Place −1/2, 0.25 and −0.2 on the number line. Mark 0 first and partition each interval equally.

−1 0 1

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2. Place −1.25 and −2/3 on a suitable number line. Label each point.

−2 −1 0

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3. Place 0.6, −0.75 and 5/4 on the number line. Convert a fraction if helpful.

−1 0 1 2

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✏️ Compare and Explain

4. Order these numbers from least to greatest: −1.25, −0.75, −2/3, 0.6, 5/4.

__________ < __________ < __________ < __________ < __________

5. Explain why −0.75 is placed where it is on a number line.

Use the sentence starter: “−0.75 is between ______ and ______. It is divided into ______ equal parts, so it is ______.”

6. Optional challenge: Create two different rational numbers between −0.6 and −0.5. Write each as a decimal and a fraction, then mark them on a number line.

−0.6 −0.5

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