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). It is a mnemonic to remember the order of operations.

Front

Calculate: 3 + 5 × 2

Back

According to the order of operations, you should perform multiplication first. So, 5 × 2 = 10, then 3 + 10 = 13.

Front

Calculate: (4 + 6) × 2

Back

First, solve the expression in parentheses: 4 + 6 = 10. Then multiply: 10 × 2 = 20.

Front

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

Back

11. First, solve the parentheses: 12 - 10 = 2, then add: 9 + 2 = 11.

Front

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

Back

13. First, add: 7 + 8 = 15, then subtract: 15 - 2 = 13.

Front

If Sam bought two CDs for $13 each and paid $3 in sales tax, how much did he pay in total?

Back

$29. First, calculate the cost of the CDs: 2 × 13 = 26. Then add the sales tax: 26 + 3 = 29.

Front

What is the first step in solving the expression 5 × (3 + 2)?

Back

The first step is to solve the expression in parentheses: 3 + 2 = 5.

Front

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

Back

7. According to the order of operations, perform addition and subtraction from left to right: 8 - 3 = 5, then 5 + 2 = 7.

Front

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

Back

9. First, solve the parentheses: 1 + 2 = 3. Then, the expression becomes 6 ÷ 2 × 3. Perform division and multiplication from left to right: 6 ÷ 2 = 3, then 3 × 3 = 9.