Practice Operation Hierarchy in Math

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

Quick Recap

The layered relationship between arithmetic operations, where each is built from the previous: multiplication from addition, exponentiation from multiplication.

Multiplication is repeated addition. Exponents are repeated multiplication.

Example 1

easy
Evaluate \(3 + 4 \times 2\) using the correct order of operations.

Example 2

medium
Evaluate \(2 + 3^2 \times (4 - 1) \div 9\).

Example 3

easy
Evaluate \(10 - 2 \times 3 + 1\).

Example 4

medium
Evaluate \((5 + 3)^2 \div 4 - 6\).