 # NCERT Solutions Class 8 Mathematics Solutions for Exercise 1.1 in Chapter 1 - Rational Numbers

\text { Is } \frac{8}{9} \text { the multiplicative inverse of }-1 \frac{1}{8} ? \text { Why or why not? }

-1 \frac{1}{8}=\frac{-7}{8}

(Multiplicative inverse ⟹ product should be 1)

According to the question,

\begin{aligned} &\Rightarrow \quad \frac{8}{9} \times \frac{-7}{8}=\frac{-7}{9} \neq 1\\ &\therefore, \frac{8}{9} \text { is not the multiplicative inverse of }-1 \frac{1}{8} \end{aligned}

Video transcript
"hello students i am rita your math leader tutor and today's question is is 8 by 9 the multiplicative inverse of minus 1 is to 1 by 8 why our why naught first of all in the question it is given that 8 by 9 is the multiplicative inverse of minus 1 is to 1 by 8 first of all we solve this mixed fraction into improper fraction then we got eight ones are eight plus one nine by eight minus nine by eight and the multiplicative when we move and their multiplicative inverse b minus 8 by 9 because when we cancel out 8 and 9 each other then we got minus minus plus 1 so the multiplicative inverse of minus 1 is to 1 by 8 is minus 8 by 9 but in the question it is given that positive 8 by 9 in the question it is given that positive 8 by 9 that's why the answer of this question is false because if there is minus sign then it is a multiplicative inverse of the given number but it is of positive that's why it is not the multiplicative inverse of the minus one is to one by eight so this is our answer i hope you like this video so please subscribe leto for more updates and do comment your questions thank you "
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