# How do you evaluate 10+8-:2-4?

Mar 13, 2018

Using PEMDAS you get 10

#### Explanation:

Parenthesis
Exponents
Multiplication
Division
Subtraction

There are no Parenthesis, Exponents or Multiplication so we skip those steps and move on. First we divide 8 by 2 and you get 4.

Then you add 10 to 4, you get 14.

And finally, you subtract 4 from 14 to get 10.

Mar 14, 2018

color(green)(10

#### Explanation:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction.

Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

$10 + \frac{8}{2} - 4 = 10 + 4 - 4 = 14 - 4 = 10$

Mar 16, 2018

$10$

#### Explanation:

Count the number of terms and simplify each to a single answer which will be added or subtracted in the last step.

$\textcolor{b l u e}{10} \text{ "color(purple)(+" "8div2)color(green)(" "-" "4)" } \leftarrow$ there are $3$ terms
$\textcolor{w h i t e}{\times \times \times x} \downarrow$
color(blue)(10)" "color(purple)(+" "4)color(green)(" "-" "4)

Now you could work from left to right, but take note of the fact that the last two terms are additive inverses, they add to $0$

color(blue)(10)" " color(red)(+" "0)

$= 10$

Or:

color(blue)(10)" "color(purple)(+" "4)color(green)(" "-" "4)

=" " 14color(green)(" "-" "4)

$= \text{ } 10$