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# Basic Operations

# Order of Operations

The order in which we complete a mathematical equation or expression is essential. Doing the steps of a problem out of order can lead to a totally different answer, even if you do the calculations correctly. So, for everyone to get the same answer, the **order of operations** was developed. You will be using these almost every day of your mathematical careers from now on.

All equations and expressions must be completed in the following order...

## PEMDAS

**P**arentheses - simplify everything inside the parentheses

**E**xponents - simplify any exponents (*See Powers and Roots)*

**M**ultiplication &**D**ivision - multiply and divide from left to right

**A**ddition &**S**ubtraction - add and subtract from left to right

PEMDAS will be your friend for life. If you have trouble remembering your new BFF's name, try out this memory trick... "**P**lease **E**xcuse **M**y **D**ear **A**unt **S**ally".

**Look Out**: even though M comes before D, multiplication and division are equals; you'll need to complete these operations from left to right. The same is true for addition and subtraction. Think of them as equal partners.