Order of Operations

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The common acronym is PEMDAS: 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: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

Solve the following expression: 3 + 4 x 6 - 4

Back

The answer is 19. (First, multiply 4 x 6 = 24, then 3 + 24 - 4 = 23.)

Front

True or False? 2 x 3 + 10 ÷ 2 = 8

Back

False. The correct answer is 11.

Front

Solve the following: 5 - 6² ÷ 4 - 3

Back

The answer is -7. (First, calculate 6² = 36, then 36 ÷ 4 = 9, then 5 - 9 - 3 = -7.)

Front

What is the first step in solving the expression: 50 - 16 x 2 ÷ (12 - 4)?

Back

The first step is to solve the parentheses: (12 - 4) = 8.

Front

What is the second step in solving the expression: (4 - 2) x 9 + 7?

Back

The second step is multiplication: (4 - 2) x 9 = 2 x 9 = 18.

Front

What is the result of the expression: 8 + 2 x (3 - 1)?

Back

The answer is 12. (First, solve the parentheses: (3 - 1) = 2, then 2 x 2 = 4, and finally 8 + 4 = 12.)

Front

What is the result of the expression: 10 - 2 x 5 + 3?

Back

The answer is 3. (First, multiply: 2 x 5 = 10, then 10 - 10 + 3 = 3.)

Front

What is the order of operations for the expression: 7 + 3 x 2 - 1?

Back

The order is: multiplication, then addition, then subtraction.