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)0 - (-9).

Example 2

medium
Compute (−3)−(−10)+4(-3) - (-10) + 4.

Example 3

easy
Compute −3+(−5)-3 + (-5).

Example 4

easy
Compute (−3)×0×7(-3) \times 0 \times 7.

Example 5

medium
A bank account starts at $50\$50, then has withdrawals of $30\$30 and $45\$45 and a deposit of $20\$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<0a < 0, b>0b > 0, and ∣a∣>∣b∣|a| > |b|, determine the sign of a+ba + b and of abab.

Example 8

easy
Compute 10+(−15)10 + (-15).

Example 9

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

Example 10

medium
Compute −15+6−(−4)-15 + 6 - (-4).

Example 11

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

Example 12

medium
Compute (−6)×(−9)(-6) \times (-9).

Example 13

medium
Evaluate −3+7−10+2-3 + 7 - 10 + 2.

Example 14

medium
Evaluate −2(5−3×4)-2(5 - 3 \times 4).

Example 15

medium
Evaluate (−3)3+(−2)2(-3)^3 + (-2)^2.

Example 16

hard
Evaluate (−2)4−(−3)2(−1)3\dfrac{(-2)^4 - (-3)^2}{(-1)^3}.

Example 17

medium
Evaluate (−5)2(-5)^2 and −52-5^2 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)×4-3 - (-7) + (-2) \times 4.

Example 20

medium
The temperature was −5∘-5^\circC and rose 12∘12^\circ. What is the new temperature?
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