# How do you evaluate 3 * (-2) +6 -(-2) - 5?

Apr 30, 2018

$- 3$

#### Explanation:

3(-2)+6-(-2)-5=?

PEMDAS

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

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

combine

$2 - 5$

$2 + \left(- 5\right)$

$- 3$

Apr 30, 2018

$-$$3$

#### Explanation:

$3$$\times$($-$$2$)$+$$6$$-$($-$$2$)$-$$5$

The parentheses here are only making it obvious that the numbers are negative, so let's get rid of them.

$3$$\times$$-$$2$$+$$6$$-$$-$$2$$-$$5$

Next up on the order of operations is exponents, but we don't have any, so we move to multiplication.

$3$$\times$$-$$2$

$3$$\times$$-$$2$ is $-$($3$$\times$$2$), which is $-$$6$

$-$$6$$+$$6$$-$$-$$2$$-$$5$

Since there is no more multiplication and no division is present, we move on to addition and subtraction. It's pretty easy from here.

$-$$6$$+$$6$$=$$0$

Next we've got a double negative. Whenever we subtract a negative number, we add instead.

$0$$+$$2$$-$$5$

$2$$-$$5$

$-$$3$

Well, that wasn't too hard, was it?

Apr 30, 2018

$- 3$

#### Explanation:

Count the number of terms first.
Simplify each term separately.

$\textcolor{red}{3 \times \left(- 2\right)} \text{ "color(blue)(+6)" "color(green)(-(-2))" "color(purple)(-5)" } \leftarrow$ there are $4$ terms

$= \textcolor{red}{- 6} \text{ "color(blue)(+6)" "color(green)(+2)" } \textcolor{p u r p \le}{- 5}$

$= \text{ " 0" "+" "2" "-5" } \leftarrow \left(- 6 + 6 = 0\right)$

$= - 3$