Order of Operations

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the correct sequence to evaluate a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often abbreviated as 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). It is the acronym used to remember the order of operations.

Front

Evaluate the expression: 5 + 3 × 2

Back

The value is 11. According to the order of operations, multiplication is performed before addition.

Front

Evaluate the expression: (4 + 2) × 3

Back

The value is 18. First, calculate the expression in parentheses: 4 + 2 = 6, then multiply by 3.

Front

What is the value of the expression: 8 - 3 + 2?

Back

The value is 7. Perform the operations from left to right: 8 - 3 = 5, then 5 + 2 = 7.

Front

If Sam bought 2 books for $10 each and paid $2 in tax, what is the total cost?

Back

The total cost is $22. The expression is 2 × 10 + 2 = 20 + 2 = 22.

Front

What is the value of the expression: 6 + (2 × 3)?

Back

The value is 12. First, calculate the multiplication: 2 × 3 = 6, then add: 6 + 6 = 12.

Front

Write an expression for the total cost of 4 items at $5 each with $1 tax.

Back

The expression is 4 × 5 + 1.

Front

Evaluate the expression: 10 - (2 + 3) × 2

Back

The value is 0. First, calculate the parentheses: 2 + 3 = 5, then multiply: 5 × 2 = 10, and finally subtract: 10 - 10 = 0.

Front

What is the value of the expression: 3 × (4 + 5) - 6?

Back

The value is 21. First, calculate the parentheses: 4 + 5 = 9, then multiply: 3 × 9 = 27, and finally subtract: 27 - 6 = 21.