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Order of Operations Examples

Let’s use PEMDAS to evaluate numerical expressions.

Goal:

Goal:

Order of operations expression: 8 ÷ 2 x 6 Remember, when you are evaluating an expression, it is important to use the correct order of operations. You should complete operations in this order: parentheses, exponents, multiplication/division, and addition/subtraction—always from left to right. Let’s start with multiplication/division and addition/subtraction. If both multiplication and division are in the expression, you evaluate them in the order that they appear, going from left to right. The same is true for both addition and subtraction; if both addition and subtraction are present, they are evaluated in the order they appear, always going from left to right.

Complete each of the problems below on your own. When you are ready, click each tab to reveal the answer.

Order of operations expression: 8 ÷ 2 x 6

Both multiplication and division are in the expression, so work from left to right:

  • First divide: 8 ÷ 2 = 4
  • Then multiply: 4 x 6 = 24

So, when you evaluate 8 ÷ 2 x 6, you get 24 as the answer.

Order of operations expression: 9 – 3 + 7

Both addition and subtraction are in the expression, so work from left to right:

  • First subtract: 9 - 3 = 6
  • Then add: 6 + 7 = 13

So, when you evaluate 9 – 3 + 7, you get 13 as the answer.

Order of operations expression: 4 + 9 ÷ 3 – 6

In this example, complete division first, and then complete addition and subtraction, working from left to right:

  • First divide: 9 ÷ 3 = 3
  • Now add: 4 + 3 = 7
  • Finally, subtract: 7 – 6 = 1

So, when you evaluate 4 + 9 ÷ 3 – 6, you get 1 as the answer.

Order of operations expression: 7 x 3 – 5 + 4

In this example, complete multiplication first, and then complete addition and subtraction, working from left to right:

  • First multiply: 7 x 3 = 21
  • Next, subtract: 21 – 5 = 16
  • Finally, add: 16 + 4 = 20

So, when you evaluate 7 x 3 – 5 + 4, you get 20 as the answer.