# Evaluate Numerical Expressions with ( ), { } and [ ] – Part 1

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

## Overview

Math problems can be written with more than one operation. To solve these more
difficult problems, we follow a sequence called the order of operations.

Consider the numerical expression
There are two possible solutions to this problem:

How do I know which part of the problem to solve first?
The order of operations will guide you.

ORDER OF OPERATIONS:
Step One: Calculate operations in grouping symbols first. Grouping symbols include parentheses, brackets or braces. If an expression has more than one grouping symbol, calculate the operations in parentheses first, brackets second, and braces third.

Step Two: Solve exponents, including square roots. It’s okay if you aren’t familiar
with these terms yet. We will learn more about them in an upcoming chapter.

Step Three: Multiply and Divide. If both multiplication and division appear in an
expression, complete the operations from left to right.

Step Four: Add and Subtract. If both addition and subtraction appear in an
expression, complete the operations from left to right.

PEMDAS

You can use the acronym PEMDAS to help you remember the order of operations.
P – Parentheses, Brackets, Braces
E – Exponents
MD – Multiplication/Division
AS – Addition/Subtraction

Let’s look at another example.

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Solve .

Show your work.

Which part of the expression should be calculated first? Explain your answer.

A.
B.
C.
D.

Add parentheses to the equation without changing it’s value.

Solve .

Show your work.

Which numerical expression has the same value as  ?
A.
B.
C.
D.

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