# How do you simplify #4 + 8 * |8 - (8 - 2)^2| # using order of operations?

##### 2 Answers

See explanation.

#### Explanation:

The order of operation can be rememberd through an acronym **PEDMAS**. The letters in the acronym stand for:

**P** - Parenetheses (also called brackets)

**E** - Exponents

**D** and **M** - Division and Multiplication

**A** and **S** - Addition and Subtraction

The acronym says that first you need to do all operations in brackets (parenetheses). Here you have two kinds of brackets: ordinary brackets ( and ), but also absolute value signs

In the given expression the brackets without other ones are

Now the expression in brackets is

Now we have a subtraction inside the absolute value to perform:

Now the absolute value contains only a number

Now we do not have any brackets, so we can look at the operations. On the list below the brackets we have exponents, but there are none in the expression, next is division and multiplication. We have the multiplication, so we have to do it next:

Finally we have only addition which is our last operation to perform:

Answer: **The value of the expression is #228#.**