Question

the sum of a rational number and its additive inverse is always equal to​

Answer 1

Answer:

Zero (0)

Step-by-step explanation:

Zero is the sum of a rational number and its additive inverse.

Example :

2/3 + ( -2/3 ) = 0

Answer 2

Answer:

Step-by-step explanation:

Concept:

Definition of Additive inverse:

A number's additive inverse is the value that, when added to the original number, yields a value of zero. It is what we add to a number to make it equal to zero. If the initial number is a, then its additive inverse is the negative of a, or -a, so that;

$a+(-a) = a - a = 0$

$Additive inverse of 10 is -10, as 10 + (-10) = 0$

$Additive inverse of -9 is 9, as (-9) + 9 = 0$

The opposite of the number, negation of the number, or altered sign of the initial number are other names for additive inverse.

Given:

The sum of a rational number and its additive inverse is always equal to

Find:

To find the sum of a rational number and its additive inverse is always equal to

Solution:

Let us assume a rational number $= a$

Additive inverse  $= -a$

Sum = $a+(-a) = 0$

∴ The sum of a rational number and its additive inverse is always equal to $0$

#SPJ3