Question

the value of | -2 - ( -3)\ 4 | is

Answer 1

Answer:

$| - 2 + \frac{3}{4} | = | \frac{ - 8 + 3}{4} | \: \: \: = | \frac{ - 5}{4} | = \frac{5}{4}$

Answer 2

$\left| -2- \dfrac{ \left( -3 \right) }{ 4 } \right|$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=\left|-2-\left(-\frac{3}{4}\right)\right|$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\left|-2+\frac{3}{4}\right|$

$\mathrm{Join}\:-2+\frac{3}{4}:\quad -\frac{5}{4}$

$=\left|-\frac{5}{4}\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a$

$=\frac{5}{4}$