How do you simplify #2[-4+3(-7+4)]# using PEMDAS?

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Answer 1 · 2016-06-14T08:54:54

Start with the innermost bracket and work out to get #-26#

PEDMAS refers to the order in which we solve an equation:

Parentheses (I tend to call them Brackets)
Exponentials
Multiplication
Division
Addition
Subtraction

Let's start with the original:

#2[-4+3(-7+4)]#

So we have 2 times a big bracket and within that bracket there is 3 times a smaller bracket. Since we do brackets first and the innermost brackets:

#2[-4+3(-3)]#

We can multiply the 3 by the result of the small bracket (-3):

#2[-4-9]#

#-4-9# is inside the big bracket, so let's do that:

#2[-13]#

#-26#

Answer 2 · 2016-08-01T12:28:26

#-26#

There is only one term, but there are 2 terms inside the square bracket. Work from the inner bracket.

#2[color(blue)(-4)+3color(red)((-7+4))]#

=#2[color(blue)(-4)+3color(red)((-3))]#

=#2[color(blue)(-4)-color(red)9]#

=#2 xx (-13)#

=#-26#