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

1 Answer

40

Explanation:

We can use PEMDAS:

  • color(red)(P) - Parentheses (also known as Brackets)
  • color(blue)(E) - Exponents
  • color(green)(M) - Multiplication
  • color(green)(D) - Division (this has the same weight as M and so I gave it the same colour)
  • color(brown)(A) - Addition
  • color(brown)(S) - Subtraction - (again, same weight as A and so the same colour)

First we have a color(red)(P):

7-3color(red)((-8-2))+6 -:2

7-3color(red)((-10))+6 -:2

Next we have an color(green)(M) and a color(green)(D)

7color(green)(-3(-10))+color(green)(6 -:2)

7color(green)(+30)+color(green)(3)

And now we have color(brown)(A)

color(brown)(7+30+3)=40