Question

Is -12/5 the additive inverse of 5/12​

Answer 1

no it's is wrong ,, right answer is -5/ 12 . hope it will help you...

Answer 2

ANSWER :-

No , -12/5 is not the Addtive inverse of 5/12. The additive inverse of 5/12 is -5/12.

EXPLANATION

》What is Additive Inverse?

In mathematics, Additive Inverse is a number which when added to a given number the result will be zero.

□ Every Rational number has a Additive inverse while zero is the additive inverse of itself.

□ Examples

- 2 is additive inverse of 2

- 3/5 is additive inverse of 3/5

45/6 is additive inverse of - 45/6

0.98 is additive inverse of - 0.98

N.B.

What is Multiplicative Inverse ?

The number which when multiplied with the given number the answer becomes 1.

Every Rational number except zero has its Multiplicative Inverse. Usually It is just reciprocal of the same sign.

e.g. 4 = 1/4

3/2 = 2/3

- 4/7 = - 7/4

Now in the Question ,

-12 /5 is neither additive inverse nor the multiplicative inverse of 5/12 because :-

-12/5 + 5/12 = ( -144 + 25 ) /60

= - 119/60

As the answer isnot equal to zero, it is not additive inverse.

And ,

-12/5 × 5/12 = -1 which is not equal to 1

So, not the multiplicative inverse also.