## Related questions with answers

Question

If n > 0, then -|n| = _

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The absolute value of $a$ is defined as

$|a|= \left\{ \begin{array}{lcl} a&\text{if }a>0 \\ -a&\text{if }a<0 .\end{array} \right.$

Using the definition above, with $n>0,$ then $|n|=n$. Hence, the given expression, $-|n|$ is equivalent to

$\begin{align*} -|n| &\Rightarrow -n .\end{align*}$

Hence, the given expression simplifies to $-n$.

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