How do you simplify #6/2-1*6²# using order of operations?

1 Answer
Dec 22, 2015

Answer:

#6/2-1*6^2 = -33#

Explanation:

The order of operations is:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Now, multiplication and division actually have the same priority, as do addition and subtraction, but it wont hurt to follow the given order, either.

Let's see how it applies to the expression #6/2 - 1*6^2#

Parentheses:
There are no parentheses in the given expression, so we can skip this.

Exponents:
We have one exponent to evaluate: #6/2-1*6^(color(red)(2))#

As #6^2 = 6*6 = 36# we have

#6/2-1*6^2 = 6/2-1*36#

Multiplication:
We have one instance of multiplication to evaluate: #6/2-1color(red)(*)36#

As #1*36 = 36# we have

#6/2 - 1*36 = 6/2 - 36#

Division:
We have one instance of division to evaluate: #6color(red)(-:)2-1#

As #6/2 = 3# we have

#6/2-36 = 3-36#

Addition:
There is no addition in the given expression, so we can skip this.

Subtraction:
We have one instance of subtraction to evaluate: #3color(red)(-)36#

As #3-36=-33# we have our final result.

#6/2-1*6^2 = -33#