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Basic Operations

Basic Operations

Order of Operations Examples

Example 1

5 - 3 + 6 ÷ 2

Since there are no parentheses or exponents, division is our first step.

Example 2

5(6 + 9 ÷ 3 - 1)^2

First, simplify the parentheses. Since there are many operations in the parentheses, follow the order of operations inside them, too. In this problem, division would come first.

Example 3

(12 + 3 x 2)/(4^2 - 7)


In this problem, treat the numerator and denominator like they are in separate parentheses, and the fraction bar as a division sign. You could rewrite this problem as: (12 + 3 x 2) / (4^2 - 7) . Now simplify each set of parentheses using the correct order of operations.

Example 4

[3(6 - 4)]^2

Here, we have two sets of parentheses, the regular ones and the brackets. Simplify the innermost set first.