How do you use PEMDAS to simplify $2[-4+3(-7+4)]$ ?

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How do you use PEMDAS to simplify $2[-4+3(-7+4)]$ ?

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Answer 1 · 2016-02-08T22:15:37

2[−4+3(−7+4)]

The expression has so many parenthesis that no rule of order of operations is needed

2[−4+3(-3)]

2[−4-9]

2[−13]

-26

Answer 2 · 2016-02-08T22:29:06

$2[-4+3(-7+4)] = -26$

Explanation:

First, we evaluate any expressions within parentheses.

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

Within the innermost parentheses, there are no exponents, and no multiplication or division, thus we move on to adding $-7$ and $4$

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

Within the outer parentheses, there are no exponents, so we move on to multiplying $3$ and $-3$ .

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

$=2color(red)([$ $-4+(-9)$ $color(red)]$

There is no more multiplication within the outer parentheses, and so we move on to adding $-4$ and $-9$

$=2[-13]$

Now that there are no operations left within parentheses, we continue. The only operation remaining outside of parentheses is to multiply $2$ and $-13$

$=-26$

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How do you use PEMDAS to simplify $2[-4+3(-7+4)]$ ?

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How do you use PEMDAS to simplify $2[-4+3(-7+4)]$ ?