Question

The additive inverse of



is​

Answer 1

Answer:

The additive inverse of a number a is the number that, when added to a, yields zero. ... For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.

Answer 2

Answer:

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that;

a+(-a) = a – a = 0

Example:

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

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

Additive inverse is also called the opposite of the number, negation of number or changed sign of original number.

Fact: Additive inverse of zero is zero only.

Properties

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x. So, here we will see the properties of -x.

−(−x) = x

(-x)2 = x2

−(x + y) = (−x) + (−y)

−(x – y) = y − x

x − (−y) = x + y

(−x) × y = x × (−y) = −(x × y)

(−x) × (−y) = x ×.

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. ... For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.

hope it help