# How do you simplify 5+ 7(8 ÷ 4 ) + 6  using PEMDAS?

Mar 16, 2018

$25$

#### Explanation:

P.E.M.D.A.S = Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.

First step is Parenthesis, so simplify 8 / 4 = 2. Your equation should look like this:

$5 + 7 \left(2\right) + 6$

Next is exponents. There are no exponents in this equation so we move on.
Next is Multiplication/Division, so we can multiply 7*2 = 14. Now the equation looks like:

$5 + 14 + 6$

Our only operation left is addition, so add to get $25$ as your final answer.

Mar 16, 2018

$5 + 7 \left(8 \div 4\right) + 6 = 25$

#### Explanation:

In any expression with multiple operations, count the number of terms first. Within each term work from the strongest to the weakest operations first, meaning powers and roots, and then multiply and divide. A bracket over-rides the importance and needs to be done first.

$\textcolor{red}{5} \text{ "color(blue)(" " +7(8div4))" "color(green)(+" "6)" } \leftarrow$ there are 3 terms
$\textcolor{w h i t e}{w w w w w w w w} \downarrow$
=color(red)(5)" "color(blue)(" " +7(2)" "color(green)(+" "6)
$\textcolor{w h i t e}{w w w w w w w w} \downarrow$
=color(red)(5)" "color(blue)(" " +14" "color(green)(+" "6)

$= 25$