Question

which of the following illustrates the inverse property for addition a) 1/8-1/8=0;b)1/8+1/8=1/4;c)1/8+0=1/8d)1/8-0=1/8​

Answer 1

$\underline{\pink{Existence \:of \:additive \: inverse : }}$

$For \:every \: rational \: number \:\frac{a}{b}$

$there \: exists \: a \: rational \: number \:\frac{-a}{b}$

$such \:that$

$\blue{ \Big(\frac{a}{b}\Big) + \Big(\frac{-a}{b}\Big) = \Big(\frac{-a}{b}\Big) + \Big(\frac{a}{b}\Big)=0 }$

$\underline {\red{Note:} }$

$\frac{-a}{b} \:is \: called \:the \:additive \:$

$Inverse \: of \: \frac{a}{b}$

$Here, \frac{1}{8} - \frac{1}{8} = 0$

$\implies \frac{1}{8} + \frac{-1}{8} = 0$

Therefore.,

$Option \: \green { ( a ) } \:is \: correct.$

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