An additive inverse of a number is known as the value, resulting in a zero value when added to the original number. In order to yield zero, it is the value we add to a number. Assume, ‘a’ is the original number, then its additive inverse will be the minus of such that
a + (-a)
a – a
Given value is 7
Let us assume additive inverse as x
7 + x = 0
x = -7
The additive inverse of 7 is -7.
The multiplicative inverse also known as reciprocal implies is something which is opposite. The reciprocal number obtained in such a way that the value is equal to identity 1 when multiplied by the original number. Let us consider the number ‘a’ then the multiplicative inverse of the number is ‘1/a’.
a × 1/a = 1
Given value is 7 , so
The multiplicative inverse of 7 is 1/7.
Sum of additive inverse and multiplicative inverse
Sum of additive inverse and multiplicative inverse of 7 = -7 + (1/7)
= (-49 + 1)/7
= – 48/7
Sum of additive inverse and multiplicative inverse of 7 = – 48/7