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

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Answer 1 · 2018-03-10T00:32:49

40

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#