Question

Evaluate the expression when $k=-3$ and $m=-6$
$|m-k|$

Answer 1

Solving the given expression

The given expression is $|m-k|$.

Also, it is given that $k=-3$ and $m=-6$

$\begin{array}{rcl}& \Rightarrow & \left|m-k\right|=\left|(-6)\underbrace{-(-3)}\right|\\ & & \\ & =& \left|-6+3\right|[\because -(-a)=a]\\ & & \\ & =& \left|-3\right|[\because -a+b,\mathrm{where}a>b,\mathrm{then}-a+b=-ve]\\ & & \\ & =& 3\left[\because \left|-a\right|=a,\left|+a\right|=a\right]\end{array}$

Therefore, The value of the given expression $|m-k|$ when $k=-3$ and $m=-6$ is $3$.