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 order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

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

How do you evaluate the expression 3 + 5 × 2?

Back

According to the Order of Operations, you first perform the multiplication: 5 × 2 = 10, then add: 3 + 10 = 13.

Front

What is the value of the expression 9 + (12 - 10)?

Back

The value is 11. First, calculate inside the parentheses: 12 - 10 = 2, then add: 9 + 2 = 11.

Front

What is the value of the expression 7 + 8 - 2?

Back

The value is 13. Perform the addition first: 7 + 8 = 15, then subtract: 15 - 2 = 13.

Front

If a student buys 3 cans of tennis balls for $4 each, what expression represents the total cost including $0.95 tax?

Back

The expression is 3 × 4 + 0.95.

Front

What is the first step in solving the expression 4 + 3 × 2?

Back

The first step is to perform the multiplication: 3 × 2 = 6, then add: 4 + 6 = 10.

Front

What is the value of the expression (5 + 3) × 2?

Back

The value is 16. First, calculate inside the parentheses: 5 + 3 = 8, then multiply: 8 × 2 = 16.

Front

What is the value of the expression 10 - (2 + 3)?

Back

The value is 5. First, calculate inside the parentheses: 2 + 3 = 5, then subtract: 10 - 5 = 5.

Front

What is the value of the expression 6 ÷ 2(1 + 2)?

Back

The value is 9. First, calculate inside the parentheses: 1 + 2 = 3, then perform the division and multiplication from left to right: 6 ÷ 2 = 3, then 3 × 3 = 9.