Find the sum of additive inverse and multiplicative inverse of 7.

Additive inverse

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

= 0

Given value is 7

Let us assume additive inverse as x

7 + x = 0

x = -7

The additive inverse of 7 is -7.

Multiplicative inverse

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

7× 1/7

⇒ 1

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

Answer

Sum of additive inverse and multiplicative inverse of 7 = – 48/7

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