noun
Axiom - a statement or proposition that is regarded as being established, accepted, or self-evidently true
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The addition axiom states that for any real numbers a, b, and c, the sum of a and b is equal to the sum of b and a.
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Basically, the addition axiom just means that you can add numbers in any order and still get the same result.
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The addition axiom is like the 'commutative property' of addition - it doesn't matter which order you add the numbers in.
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Think of the addition axiom as a rule that says you can rearrange the numbers you're adding without changing the final answer.