What is the result of adding a number and its additive inverse?

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Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the result of adding a number and its additive inverse?

Explanation:
When you add a number to its additive inverse, the result is always zero. The additive inverse of a number is the value that, when added to the original number, yields zero. For example, the additive inverse of 5 is -5, because 5 + (-5) = 0. This concept applies to any real number; for any number \( x \), its additive inverse is \( -x \), and when you perform the operation \( x + (-x) \), you simplify it to zero. Thus, the result of adding a number and its additive inverse is indeed zero, confirming that the correct choice is accurate.

When you add a number to its additive inverse, the result is always zero. The additive inverse of a number is the value that, when added to the original number, yields zero. For example, the additive inverse of 5 is -5, because 5 + (-5) = 0.

This concept applies to any real number; for any number ( x ), its additive inverse is ( -x ), and when you perform the operation ( x + (-x) ), you simplify it to zero. Thus, the result of adding a number and its additive inverse is indeed zero, confirming that the correct choice is accurate.

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