Question

What is the additive inverse of $\dfrac{4}{7}$

Answer 1

Hint: The additive inverse of a number a is the number that, when added to a , yields zero. This number is also known as the opposite and sign change. The additive inverse of a is denoted by -a.
We will add a number (x) to $\dfrac{4}{7}$ which will be equal to zero to get its additive inverse.

Complete step by step answer:
 Let's add an unknown number to $\dfrac{4}{7}$ to get its additive inverse.
$x + \dfrac{4}{7} = 0$
Now move constant to right hand side, we get-
$x = - \dfrac{4}{7}$
This is a required solution.

ADDITIONAL INFORMATION
Additive inverse of Complex numbers is the combination of real numbers and imaginary numbers $A + iB$ is a complex number, where A is the real number and B is the imaginary number.
Now the additive inverse of $A + iB$ should be a value, that on adding it with a given complex number, we get a result as zero. Therefore, it will be $ - (A + iB)$
The multiplicative inverse of a number, say, N is represented by $\dfrac{1}{N}$ or ${N^{ - 1}}$ . It is also called reciprocal.
The multiplicative inverse of zero is not defined. And the multiplicative inverse of 1 is 1 itself.
EXAMPLE-
$3$ is a natural number. If we multiply $3$ by $\dfrac{1}{3}$ , the product is $1$ . Therefore, the multiplicative inverse of $3$ is $\dfrac{1}{3}$ . Similarly, the multiplicative inverse of $122$ is $\dfrac{1}{{122}}$ .

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