Practice Integers in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The set of whole numbers extended in both directions: positive whole numbers, their negatives, and zero.

Temperature can go above or below zero—integers include both directions.

Showing a random 20 of 50 problems.

Example 1

medium
Find (−2)5.

Example 2

easy
Evaluate (−18)÷3+7.

Example 3

medium
Compute (−1)100.

Example 4

easy
Compute −7+5.

Example 5

medium
Temperature was −7°C at 6 AM and rose by 15°. What is the new temperature?

Example 6

medium
Evaluate ∣−3∣+∣5∣−∣−2∣.

Example 7

easy
List the integers between −3 and 2, exclusive.

Example 8

medium
Compute −8+12−15+3.

Example 9

easy
Is the sum of two integers always an integer?

Example 10

medium
Compute (−2)3.

Example 11

challenge
Find the sum S=1−2+3−4+⋯+99−100.

Example 12

easy
Compute (−20)÷4.

Example 13

medium
Find all integers n with ∣n∣≤3.

Example 14

challenge
If a+b=−3 and ab=−10, find a and b (integers).

Example 15

challenge
Sum of three consecutive integers is −93. Find them.

Example 16

easy
Evaluate (−12)−(−5)+3.

Example 17

hard
If a and b are integers with a>b, is a2>b2 always true? Give an example.

Example 18

easy
Compute −3+(−4).

Example 19

easy
Compute (−5)×(−6).

Example 20

easy
Compute ∣−15∣.