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What is the sum of a rational number and its additive inverse?

Question

What is the sum of a rational number and its additive inverse?

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Solution

The sum of a rational number and its additive inverse is always zero. Here's why:

Step 1: Understand the terms. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. The additive inverse of a number is the number that, when added to the original number, yields zero.

Step 2: Let's say the rational number is r. Its additive inverse would be -r.

Step 3: Add the rational number and its additive inverse. r + (-r) = 0.

So, the sum of a rational number and its additive inverse is always zero.

This problem has been solved

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