Mastering Order of Operations

Front

Order of Operations

Back

Sequence: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (PEMDAS)

Front

Parentheses

Back

Solve expressions inside parentheses first

Front

Exponents

Back

Calculate powers and roots after parentheses

Front

Multiplication and Division

Back

Perform from left to right after exponents

Front

Addition and Subtraction

Back

Perform from left to right after multiplication/division

Front

Example: 7 + 3 × (10 - 4)

Back

Solve 10 - 4 first, then multiply by 3, finally add 7

Front

Example: 4 × 3^2

Back

Calculate 3^2 first, then multiply by 4

Front

Example: 15 ÷ 3 + 2

Back

Divide first, 15 ÷ 3 = 5, then add 2

Front

Example: 18 - 2 × 5

Back

Multiply first, 2 × 5 = 10, then subtract from 18

Front

Nested Parentheses

Back

Solve innermost parentheses first