How do you evaluate #32- [ 4\times ( - 7) - 5]#?

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Answer 1 · 2018-03-06T05:33:16

#-1#

For this question, we 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)

We have a #color(red)(P)# to evaluate first:

#color(red)([4xx(-7)-5]#

In this bracket, we have #color(green)(M)# and #color(brown)(S)# - multiplication comes first:

#color(red)([-28-5]#

#color(red)([-33]#

Since we know the value of #color(red)([4xx(-7)-5]=-33#, let's substitute that in:

#32-33=-1#