Multiplying & Dividing Rational Numbers Worksheets, Grade 7 (7.NS.A.2) – Free PDF + Answer Key

First page of the multiplying & dividing rational numbers practice worksheet

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

Step-by-step math videos on the Math With Mr DJ YouTube channel →

Key idea

Multiplying or dividing: same signs → positive, different signs → negative. Adding: the number line decides, and two negatives stay negative. Decide the sign first, then the size — it stops you carrying a sign error through the arithmetic.

Sample problems

Find −7 × 3.
Find −7 × (−3).
Find −7 + (−3).
Questions 2 and 3 use the same two numbers and give different signs. Explain why.

Common mistakes to watch for

Answered 24 by ignoring the sign. Decide the sign first, then the size.
Answered 24 for both, applying the chant to the addition. The debt check catches it instantly.
Gave the same sign for both. Changing the sign of the divisor flips the sign of the answer.

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.