# How do you evaluate -4[ 5+ ( 4- 7) ] ?

Nov 9, 2017

#### Answer:

$- 8$

#### Explanation:

In this case, the order of operations:

Parenthesis
Exponents
Multiplication/Division
Addition/Subtraction

Would apply so:

$- 4 \left[5 + \left(4 - 7\right)\right]$

Solve the most inner parenthesis first:

$- 4 \left[5 + \left(- 3\right)\right]$

Because of the negative we get:

$- 4 \left[5 - 3\right]$

We still have values in the parenthesis, so we must equate those first:

$- 4 \left[2\right]$

Then just multiply what you have left:

$- 8$

Nov 9, 2017

First, solve the curve bracket [()]
$- 4 \left[5 + \left(- 3\right)\right]$
You must've learned in school that,
$\left(+\right) \times \left(-\right) = \left(-\right)$
Relying on that,
$- 4 \left[5 - 3\right]$
Solve
$- 4 \left[2\right]$
When there is no sign between a no. and a bracket, it means we have to multiply it,
$- 4 \left[2\right] = - 4 \times 2$
It is easy to multiply it,
$- 8$