When simplifying expressions it is important that we simplify them in the correct order. Consider the following problem done two different ways: Example `2+5·3`

(1)	`color(red)(2+5)·3`	(2)	`2+color(red)(5·3)`
Add First	`=7·3`	Multiply first	`=2+15`
Multiply	`=21`	Add	`=17`

The previous example illustrates that if the same problem is done two different ways we will arrive at two different solutions. However, only one method can be correct. It turns out the second method, `17`, is the correct method. The order of operations ends with the most basic of operations, addition (or subtraction). Before addition is completed we must do repeated addition or multiplication (or division). Before multiplication is completed we must do repeated multiplication or exponents. When we want to do something out of order and make it come first we will put it in parenthesis (or grouping symbols). This list then is our order of operations we will use to simplify expressions. Multiply and Divide are on the same level because they are the same operation (division is just multiplying by the reciprocal). This means they must be done left to right, so some problems we will divide first, others we will multiply first. The same is true for adding and subtracting (subtracting is just adding the opposite). Example `2+3(9−4)^2`

`2+3color(red)((9−4))^2`	Parenthesis first
`=2 + 3color(red)((5)^2)`	Exponents
`=2 + color(red)(3(25))`	Multiply
`=color(red)(2+75)`	Add
`=77`	Solution