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What is the additive inverse of $ - 73$?

Answer
VerifiedVerified
479.7k+ views
Hint: Here, in the given question, we need to find the additive inverse of $ - 73$. An additive inverse of a number is defined as the value, which in addition with the real number results in zero value. The additive inverse is also known as opposite number, sign change, negation. Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to $0$. Let us say $''n''$ be any number then its additive inverse is expressed as $ - n$. Here, we will find the additive inverse of $ - 73$ by just changing the sign of it.

Complete step-by-step answer:
The general formula of the additive inverse of a number is derived as:
Additive inverse formula = $ - 1 \times number$
Here, we are given a number $ - 73$ and we need to find the additive inverse of it.
Additive inverse formula = $ - 1 \times number$. Using this, we get
Additive inverse of $ - 73$ = $ - 1 \times -73$
Additive inverse of $ - 73$ = $73$ (As we know product of two negative numbers is positive)
Therefore, the additive inverse of $ - 73$ is $73$.
So, the correct answer is “73”.

Note: Don’t get confused between additive inverse and multiplicative inverse, apply them accordingly. Additive inverse can be defined as the number which when added to the original number gives zero as the resultant value whereas multiplicative inverse is a number which when multiplied by the original number gives the product as $1$. Remember that the additive inverse of a positive number is always negative and the additive inverse of a negative number is always positive.
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