# How do you evaluate [(2 + 4 * 3) - 8] + 81?

Jun 5, 2015

To evaluate $\left[\left(2 + 4 \cdot 3\right) - 8\right] + 81$ use PEMDAS

Parentheses
Exponents
Multiplication
Division
Subtraction

First evaluate $\left(2 + 4 \cdot 3\right)$
Multiplication takes precedence over addition so

$\left(2 + 4 \cdot 3\right) = \left(2 + 12\right) = 14$

Next evaluate $\left[14 - 8\right]$

$\left[14 - 8\right] = 6$

Then evaluate $6 + 81$

$6 + 81 = 87$

So, in place, this sequence looks like:

$\left[\left(2 + 4 \cdot 3\right) - 8\right] + 81$

$= \left[\left(2 + 12\right) - 8\right] + 81$

$= \left[14 - 8\right] + 81$

$= 6 + 81$

$= 87$