# How do you simplify 4(10-3^2*2+5) using PEMDAS?

Mar 13, 2017

The given expression simplifies to $- 12$.

See the explanation.

#### Explanation:

PEMDAS is acronym for remembering the order of operations.

P: Parentheses or brackets
E: Exponents
M and D: Multiplication and division from left to right.
A and S: Addition and subtraction from left to right.

Simplify:

$4 \left(10 - {3}^{2} \cdot 2 + 5\right)$$\leftarrow$ parentheses and exponent first.

$4 \left(10 - 9 \cdot 2 + 5\right)$$\leftarrow$ multiply $9 \cdot 2$.

$4 \left(10 - 18 + 5\right)$$\leftarrow$ add and subtract from left to right.

$4 \left(- 3\right)$$\leftarrow$ multiply $4$ and $- 3$

$- 12$$\leftarrow$ answer