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Grade 6 · The Number System · 6.NS.C.7

Ordering Rational Numbers Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the ordering rational numbers practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Watch: Absolute Value Explained Step by Step

Key idea

Farther right = greater. Always. To compare mixed forms, convert first: −2/5 = −0.4, which is LESS than −0.3 because it sits farther left.

Sample problems

Which is greater: −7 or −2?
True or false: −1 > −9. Explain.
Order from least to greatest: −4, 3, −6.
Which is greater: −½ or −¼? Show how you decided.

Common mistakes to watch for

Chose −8 because 8 > 3. On the negative side, a larger digit means a SMALLER number.
Wrote −1, −5, 0, 2 — ordered the negatives by digit size instead of position.
Chose −0.75 because 75 > 5. Compare positions, and note 0.5 = 0.50, which is less than 0.75.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.

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