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Asked by Manjunath Last Modified
Answer As a seasoned tutor registered on UrbanPro.com, I understand the importance of providing clear and concise explanations to students. Let's delve into the question at hand:
Rational numbers are those that can be expressed as the quotient or fraction p/q, where p and q are integers and q is not equal to zero. Examples include 1/2, -3/4, and 7.
The additive inverse of a number is the value that, when added to the original number, results in a sum of zero. For any rational number 'a,' its additive inverse is '-a.'
To find a rational number that is equal to its additive inverse, we can set up an equation:
a+(−a)=0a+(−a)=0
The only rational number that satisfies this equation is zero (0).
In conclusion, among all rational numbers, zero is the unique number that is equal to its additive inverse. This understanding aligns with the fundamental properties of rational numbers and their additive inverses. If you have further questions or need additional clarification, feel free to reach out for more personalized assistance.
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