Practice Integer Operations in Math

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

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Quick Recap

Adding, subtracting, multiplying, and dividing integers—numbers that include positive values, negative values, and zero.

Think of a number line with zero in the middle. Positive numbers go right, negative numbers go left. Adding a positive moves right; adding a negative moves left. Multiplying two negatives gives a positive because reversing a reversal brings you back to the original direction.

Showing a random 20 of 50 problems.

Example 1

easy
Compute 0−(−9).

Example 2

medium
Compute (−3)−(−10)+4.

Example 3

easy
Compute −3+(−5).

Example 4

easy
Compute (−3)×0×7.

Example 5

medium
A bank account starts at $50, then has withdrawals of $30 and $45 and a deposit of $20. Find the balance.

Example 6

medium
A diver descends 18 m, then rises 7 m, then descends 5 m. Find the final depth relative to the surface.

Example 7

hard
If a<0, b>0, and ∣a∣>∣b∣, determine the sign of a+b and of ab.

Example 8

easy
Compute 10+(−15).

Example 9

hard
A bank account has these transactions: −$45, +$120, −$30, −$60, +$15. Starting balance is $50. Final balance?

Example 10

medium
Compute −15+6−(−4).

Example 11

hard
In Death Valley the temperature at noon was 46°C; at midnight it dropped to −2°C. How many degrees did it fall?

Example 12

medium
Compute (−6)×(−9).

Example 13

medium
Evaluate −3+7−10+2.

Example 14

medium
Evaluate −2(5−3×4).

Example 15

medium
Evaluate (−3)3+(−2)2.

Example 16

hard
Evaluate (−2)4−(−3)2(−1)3.

Example 17

medium
Evaluate (−5)2 and −52 and explain why they differ.

Example 18

challenge
If the product of three integers is negative, what can you conclude about the number of negative factors?

Example 19

challenge
Evaluate −3−(−7)+(−2)×4.

Example 20

medium
The temperature was −5∘C and rose 12∘. What is the new temperature?
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