Question

Find the Product of the multiplicative inverse of both ( - 8) and (-1/16)

Answer 1

multiplicative inverse is also called reciprocal

for -8 it is -1/8

for -1/16 it is -16

so answer is 2

Answer 2

The product of multiplicative inverse of -8 and -1/16 is 2

Solution:

Given, two numbers are -8 and $\frac{-1}{16}$

We have to find the product of multiplicative inverses of the given numbers.

Now, let us find the multiplicative inverses of given numbers.

We know that, product of a number and its multiplicative inverse = 1

So, multiplicative inverse of -8 x (-8) = 1

Multiplicative inverse of -8 is $\frac{-1}{8}$

And, multiplicative inverse of $\frac{-1}{16} \times\left(\frac{-1}{16}\right)=1$

Multiplicative inverse of $\frac{-1}{16}$ = -16

Now, product of multiplicative inverses of given numbers $=\frac{-1}{8} \times(-16)=-1 \times(-2)=2$

Hence, the product of multiplicative inverses of given numbers is 2