Practice Order of 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

The agreed-upon sequence for evaluating expressions: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Without rules, 2+3×42 + 3 \times 4 could mean 20 or 14. We agree to multiply first: 14.

Showing a random 20 of 50 problems.

Example 1

medium
Compute 24÷2(3+1)24 \div 2(3 + 1).

Example 2

medium
Compute 100−4×(3+2)2100 - 4 \times (3 + 2)^2.

Example 3

hard
Evaluate 5+32×2−(12÷4+1)5 + 3^2 \times 2 - (12 \div 4 + 1).

Example 4

easy
What does the 'M' in PEMDAS stand for, and which other operation shares its precedence?

Example 5

easy
Compute 6÷2+3×26 \div 2 + 3 \times 2.

Example 6

easy
Compute 52−15^2 - 1.

Example 7

medium
Compute 20−32+420 - 3^2 + 4.

Example 8

medium
Compute 10−[3+2×(4−1)]10 - [3 + 2 \times (4 - 1)].

Example 9

easy
Compute −32-3^2.

Example 10

challenge
Compute 2+22+222 + 2^{2 + 2^2}.

Example 11

medium
Evaluate 18−3×(4+1)+2318 - 3 \times (4 + 1) + 2^3.

Example 12

easy
Evaluate 3+4×23 + 4 \times 2.

Example 13

medium
Evaluate 2×(3+5)2−10÷22 \times (3 + 5)^2 - 10 \div 2.

Example 14

medium
Compute 4+2×(5−1)24 + 2 \times (5 - 1)^2.

Example 15

medium
Compute 16+3×2\sqrt{16} + 3 \times 2.

Example 16

medium
Compute 6+2×32−4÷26 + 2 \times 3^2 - 4 \div 2.

Example 17

easy
Compute 3+4×23 + 4 \times 2.

Example 18

medium
Compute 5+2×(32−4)5 + 2 \times (3^2 - 4).

Example 19

medium
Compute (2+3)2−4×5(2 + 3)^2 - 4 \times 5.

Example 20

easy
Compute 7+2×37 + 2 \times 3.
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