Order of Operations

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Evaluate: 2 + 3 × 4

Back

14 (First, multiply 3 × 4 = 12, then add 2 = 14).

Front

Evaluate: (5 + 3) × 2

Back

16 (First, add 5 + 3 = 8, then multiply by 2 = 16).

Front

True or False? 6 + 2 × 5 = 16

Back

False (6 + 2 × 5 = 6 + 10 = 16, but the correct order gives 6 + 10 = 16, so the statement is misleading).

Front

Evaluate: 10 - 2^3 + 4

Back

10 - 8 + 4 = 6 (First, calculate 2^3 = 8, then perform the operations from left to right).

Front

What is the result of 8 ÷ 2(2 + 2)?

Back

16 (First, solve the parentheses: 2 + 2 = 4, then 8 ÷ 2 × 4 = 4 × 4 = 16).

Front

Evaluate: 3 + 5 × (2 - 1)

Back

8 (First, solve the parentheses: 2 - 1 = 1, then 5 × 1 = 5, and finally 3 + 5 = 8).

Front

What is the error in: 4 + 3 × 2 - 1 = 10?

Back

The error is in the order of operations; it should be 4 + (3 × 2) - 1 = 4 + 6 - 1 = 9, not 10.

Front

Evaluate: 7 - (3 + 2) × 2

Back

-3 (First, solve the parentheses: 3 + 2 = 5, then 7 - (5 × 2) = 7 - 10 = -3).