What is the additive inverse of 6?
Understand the Problem
The question is asking for the additive inverse of the number 6, which is the value that, when added to 6, gives a result of zero. The additive inverse of a number 'a' is simply '-a'. Therefore, for 6, the additive inverse would be -6.
Answer
The additive inverse of 6 is $-6$.
Answer for screen readers
The additive inverse of the number 6 is -6.
Steps to Solve
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Define the Additive Inverse The additive inverse of a number is the number that, when added to the original number, results in zero.
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Apply the Definition For any number ( a ), the additive inverse is given by ( -a ). So for the number 6, we need to find:
$$ -a = -6 $$
- Confirm the Solution To confirm that -6 is indeed the additive inverse of 6, we can add them together:
$$ 6 + (-6) = 0 $$
Thus verifying our solution.
The additive inverse of the number 6 is -6.
More Information
The concept of the additive inverse is fundamental in mathematics, especially in algebra. It highlights the relationship between numbers and their opposites, which is essential for solving equations.
Tips
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