Grade 7 Integers Practice

Understand, Compare, Add & Subtract Integers

Meet the negative numbers! Read integers in real situations, place them and their opposites on a number line, find absolute value, compare and order them, then add and subtract with sign rules.

Also known as Class 7 maths — the same topics, whether your school calls it grade, class or year.

Sample questions

A few samples from this topic — try one, then show the answer.

Combine Addition & Subtraction of Integers

What is the value of -8 $\; - \; (-$ 3 $) \; + \;$ 4?

Show answer
Answer:
-1
Order & Reason About Integers

Which list shows -2, 6, and 8 in order from least to greatest?
- 8, 6, -2
- 6, -2, 8
- -2, 6, 8
- 8, -2, 6
Show answer
Answer:
-2, 6, 8
Use Integers in Real-Life Situations

The temperature rises by 1,000 degrees. Which integer shows this change?
- -1,000
- +10,000
- -10,000
- +1,000
Show answer
Answer:
+1,000

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A worked example

What is the value of -8

\; - \; (-

) \; + \;

Evaluate -8 $\; - \; (-$ 3 $) \; + \;$ 4
First, rewrite any double negatives. Subtracting a negative is the same as adding: $- \; (-n) \; = \; + \; n$
Rewritten: -8 $\; + \;$ 3 $\; + \;$ 4
Now evaluate left to right:
-8 $\; - \; (-$ 3 $) \; = \;$ -8 $\; + \;$ 3 $\; = \;$ -5 $\\$ -5 $\; + \;$ 4 $\; = \;$ -1
The answer is -1

Skills covered

Recognize Integers
Use Integers in Real-Life Situations
Find Integers & Opposites on a Number Line
Understand Distance & Absolute Value
Compare Integers
Order & Reason About Integers
Add & Subtract Integers on a Number Line
Add & Subtract Integers with Sign Rules
Find Missing Numbers & Operations
Solve Addition & Subtraction Problems with Integers
Combine Addition & Subtraction of Integers

Integers in other grades

Grade 8: Multiply, Divide & Combine Integer Operations

For parents & teachers

Your child meets integers — numbers below zero as well as above. The step covers recognizing integers, using them for temperatures, elevations and money, locating them and their opposites on a number line, understanding distance from zero as absolute value, comparing and ordering them, and adding and subtracting them both on a number line and with sign rules.

Understanding, comparing and adding/subtracting integers: distinguishing integers from other number forms, representing real-world contexts as signed quantities, locating integers and opposites on the number line, developing absolute value as distance from zero, comparing with <, > and =, ordering positive, negative and zero values, adding and subtracting on a number line and then by sign rules, solving missing-term equations, applying integer addition and subtraction in word problems, and evaluating multi-term addition and subtraction expressions.

Grade 7 Integers Practice

Sample questions

A worked example

More Grade 7 topics