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 zeroβ€”integers include both directions.

Showing a random 20 of 50 problems.

Example 1

medium
Find (βˆ’2)5(-2)^5.

Example 2

easy
Evaluate (βˆ’18)Γ·3+7(-18) \div 3 + 7.

Example 3

medium
Compute (βˆ’1)100(-1)^{100}.

Example 4

easy
Compute βˆ’7+5-7 + 5.

Example 5

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

Example 6

medium
Evaluate βˆ£βˆ’3∣+∣5βˆ£βˆ’βˆ£βˆ’2∣|-3| + |5| - |{-2}|.

Example 7

easy
List the integers between βˆ’3-3 and 22, exclusive.

Example 8

medium
Compute βˆ’8+12βˆ’15+3-8 + 12 - 15 + 3.

Example 9

easy
Is the sum of two integers always an integer?

Example 10

medium
Compute (βˆ’2)3(-2)^3.

Example 11

challenge
Find the sum S=1βˆ’2+3βˆ’4+β‹―+99βˆ’100S = 1 - 2 + 3 - 4 + \cdots + 99 - 100.

Example 12

easy
Compute (βˆ’20)Γ·4(-20) \div 4.

Example 13

medium
Find all integers nn with ∣nβˆ£β‰€3|n| \le 3.

Example 14

challenge
If a+b=βˆ’3a + b = -3 and ab=βˆ’10ab = -10, find aa and bb (integers).

Example 15

challenge
Sum of three consecutive integers is βˆ’93-93. Find them.

Example 16

easy
Evaluate (βˆ’12)βˆ’(βˆ’5)+3(-12) - (-5) + 3.

Example 17

hard
If aa and bb are integers with a>ba > b, is a2>b2a^2 > b^2 always true? Give an example.

Example 18

easy
Compute βˆ’3+(βˆ’4)-3 + (-4).

Example 19

easy
Compute (βˆ’5)Γ—(βˆ’6)(-5) \times (-6).

Example 20

easy
Compute βˆ£βˆ’15∣|-15|.