Integer Worksheets

Adding, subtracting, multiplying and dividing positive and negative numbers.

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Adding integers Grade 7
Subtracting integers Grade 7
Multiplying integers Grade 7
Dividing integers Grade 7

Teaching integers, step by step

Integer operations are a seventh-grade topic built on two ideas: a number line that extends left of zero, and sign rules. Adding a negative number moves left. Subtracting a number is the same as adding its opposite.

Multiplying and dividing use the familiar facts plus one rule: same signs make a positive answer, and different signs make a negative answer. Negative numbers after the first are written in parentheses so the signs are easy to read.

Questions

What is the rule for subtracting a negative number?

Subtracting a negative is the same as adding a positive: 6 − (−4) = 6 + 4 = 10.

Why is a negative times a negative positive?

One way to see it: −3 × 2 = −6, −3 × 1 = −3, −3 × 0 = 0. Each step adds 3, so −3 × −1 = 3.