Question

8/9 is multiplecative inverse of 1 -1/7why or why not​

Answer 1

Answer:

it is wrong

Step-by-step explanation:

because 1×-1/7

= -8/7

if

1× -1/8 then it is possible lightly

i think it is help full to you plz follow me and make me in brainlist ok

Answer 2

Firstly, simplify the number:

$\tt \implies 1 \dfrac{ - 1}{7} = \dfrac{ - (7 + 1)}{7} = \dfrac{ - 8}{7}$

✏ Multiplicative Inverse

A multiplicative inverse is a reciprocal. But -8/7 is not a reciprocal of 8/9, since its answer should be 9/8.

Prove:

A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1.

$\tt \implies \dfrac{8}{9} \times \dfrac{9}{8} = 1 \\ \\ \tt \implies\dfrac{72}{72} = 1 \\ \\ \tt \implies1 = 1$

Hence, -8/9 is NOT a multiplicative inverse of 8/9.

∴ 9/8 is answer (proved above).

_______________________

Note:

-8/9 is a Additive Inverse of 8/9.

∵ If we reverses the sign of a number, then it is called Additive Inverse.