Practice Negative Numbers in Math

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

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Quick Recap

Negative numbers are numbers less than zero, used to represent direction, deficit, or values below a reference point.

If zero is sea level, negative numbers are depths below the surface — temperature −5°-5° is 5 degrees below freezing.

Showing a random 20 of 50 problems.

Example 1

medium
If x=−3x = -3, evaluate x2−2xx^2 - 2x.

Example 2

easy
Compute −2×−6-2 \times -6.

Example 3

easy
Order from least to greatest: 0,−4,2,−10, -4, 2, -1.

Example 4

challenge
For which integers nn is (−1)n+(−1)n+1=0(-1)^n + (-1)^{n+1} = 0?

Example 5

easy
Compute −3×5-3 \times 5.

Example 6

easy
Compute −9+4-9 + 4.

Example 7

easy
What is the absolute value of −12-12?

Example 8

medium
Evaluate 3−5×(−2)3 - 5 \times (-2).

Example 9

easy
Compute −6−4-6 - 4.

Example 10

medium
Simplify −2−3(−4+1)-2 - 3(-4 + 1).

Example 11

medium
Evaluate −(−5)+2×(−3)-(-5) + 2 \times (-3).

Example 12

medium
Compute 10−(−4)−710 - (-4) - 7.

Example 13

medium
Compute −7−(−3)-7 - (-3).

Example 14

medium
Plane altitude is changing at −200-200 ft/min. After 7 minutes, how much has its altitude changed?

Example 15

hard
Find all integers xx with −3<x≤2-3 < x \leq 2 satisfying ∣x∣<2|x| < 2.

Example 16

easy
Compute −4+9-4 + 9.

Example 17

easy
The temperature was −8°C-8°\text{C} in the morning and rose by 15°C15°\text{C} by noon. What was the noon temperature?

Example 18

easy
Order from least to greatest: −2,−10,0,−1,5-2, -10, 0, -1, 5.

Example 19

easy
Compute 5−85 - 8.

Example 20

easy
Evaluate (−4)×(−7)×(−1)(-4) \times (-7) \times (-1).
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