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NCERT Solutions Class 8 Mathematics Solutions for Exercise 1.1 in Chapter 1 - Rational Numbers
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\text { Is } \frac{8}{9} \text { the multiplicative inverse of }-1 \frac{1}{8} ? \text { Why or why not? }
Answer:
-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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