# What is 7-3(-8-2) + 6 -:2?

40

#### Explanation:

We can use PEMDAS:

• $\textcolor{red}{P}$ - Parentheses (also known as Brackets)
• $\textcolor{b l u e}{E}$ - Exponents
• $\textcolor{g r e e n}{M}$ - Multiplication
• $\textcolor{g r e e n}{D}$ - Division (this has the same weight as M and so I gave it the same colour)
• $\textcolor{b r o w n}{A}$ - Addition
• $\textcolor{b r o w n}{S}$ - Subtraction - (again, same weight as A and so the same colour)

First we have a $\textcolor{red}{P}$:

$7 - 3 \textcolor{red}{\left(- 8 - 2\right)} + 6 \div 2$

$7 - 3 \textcolor{red}{\left(- 10\right)} + 6 \div 2$

Next we have an $\textcolor{g r e e n}{M}$ and a $\textcolor{g r e e n}{D}$

$7 \textcolor{g r e e n}{- 3 \left(- 10\right)} + \textcolor{g r e e n}{6 \div 2}$

$7 \textcolor{g r e e n}{+ 30} + \textcolor{g r e e n}{3}$

And now we have $\textcolor{b r o w n}{A}$

$\textcolor{b r o w n}{7 + 30 + 3} = 40$