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Q4) Find the multiplicative inverse of the following.

(i) – 13

(ii)\frac{-13}{19}

(iii) \frac{1}{5}

(iv) \frac{-5}{8}\times\ \frac{-3}{7}

(v) -1 \times\frac{-2}{5}

(vi) -1

Answer:

Solutions 4:

(i): We know that the multiplicative inverse of rational number 'a' is (\frac{1}{a}), such that a \times\frac{1}{a}= 1

Therefore, Multiplicative inverse of -13 is -\frac{1}{13}.

(ii): We know that the multiplicative inverse of rational number 'a' is \frac{1}{a} such thata\ \times\frac{1}{a} = 1

Therefore, Multiplicative inverse of \frac{-13}{19}\ is\ \frac{-19}{13}.

(iii): We know that the multiplicative inverse of rational number 'a' is \frac{1}{a} such that a\times\frac{1}{a} = 1

Therefore, Multiplicative inverse of \frac{1}{5}\ is\ 5

(iv): We know that the multiplicative inverse of rational number 'a' is \frac{1}{a} such that a x \frac{1}{a}= 1

Therefore,

Multiplicative Inverse of\frac{15}{56\ }\ is\ \frac{56}{15}.

(v): We know that the multiplicative inverse of a rational number 'a' is \frac{1}{a} such that a x \frac{1}{a} = 1

Therefore, Multiplicative inverse of \frac{2}{5}\ is\ \frac{5}{2}.

(vi): We know that Multiplicative inverse of 'a' is \frac{1}{a}, such that a x \frac{1}{a}= 1

Therefore, Multiplication inverse of -1 is \frac{1}{-1}

"if
a is a rational number then
it says if a rational number is
multiplied
by its multiplicative inputs the product
will always be one
now to solve this question we will use
the same idea
now let's see what is their part first
the given value of fashion number eight
let's see the second button
local but it will still have something
will be
now here we are given rational numbers
in form of a product let's see first how
to do it
it is negative 8 into negative 3 by 7
let's convert it into a proper fraction
by multiplying
so in numerator it will be negative 5
multiplied by
negative 3 divided by 8
multiplied by 7 so we know
when we multiply to the negative
integers it becomes
it into s plus 19 by 56 will be
d6 pi
right plus equal to bar which means
is equal to minus one into
minus two by five so one can be minus
one by one
again one into negative two
divided by one this will end
up as positive 2 divided by positive
5 would be multiplicative in minus 55 by
2 similarly last part
where
negative one if in case you want to
check
any of these you can simply
use the given property as
15 by 56
into
great thank you
"

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