# How do you reduce -\frac { - 64} { 4}?

Jan 28, 2017

$+ 16$

#### Explanation:

When dealing with numbers for multiplication or division you do it in 2 stages.

Stage 1: the signs

Stage 2: the numbers.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Stage 1}}$

We have 2 negatives so 2 negatives make a positive.

$\textcolor{b r o w n}{\text{Very important fact}}$
Negative is a state (where it is on the number line)
Minus is an action. It means 'remove'. So 3-2 is
3 remove 2 leaving 1. Where as -2 on its own is negative 2

Sometimes you will see the format: negative 3 written as ${\textcolor{w h i t e}{}}^{-} 3$
$\text{ }$and positive 3 written as ${\textcolor{w h i t e}{}}^{+} 3$

However, this is not very commonly done.

Having said this, people will insist on saying minus 3 when they should say negative 3.

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$\textcolor{b l u e}{\text{Stage 2}}$

$\frac{64 \div 4}{4 \div 4} = \frac{16}{1} = 16$
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$\textcolor{b l u e}{\text{Putting it all together}}$

$- \frac{- 64}{4} = + 16$