Question

find the product of -6/9 and it's multiplicative inverse​

Answer 1

Answer:

The mutiplicative inverse of a number is nothing but a reciprocal of a number. Now, the product of a number and its multiplicative inverse is always equal to 1.

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked to find the product of -6/9 and its multiplicative inverse.
• So, to find that, we have to first find the Multiplicative Inverse of the Rational Number.
• Then, we have to multiply both of them.

________________________

Given :

• -6/9

To find :

• the product of -6/9 and its multiplicative inverse​

Solution :

⇒ Let's find the Multiplicative Inverse of -6/9.

a/b × b/c = 1

-6/9 × 9/-6 = 1

Therefore, the Multiplicative inverse of -6/9 is 9/-6.

⇒ Let's multiply them now.

= -6/9 x 9/-6

= -6 x 9/9 x -6

= -54/-54

= 1

Therefore, the product is -54/-54 or 1.