Mathematical Concepts

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Integer

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A whole number; a number that is not a fraction.

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Additive Inverse

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The number that, when added to the original number, results in a sum of zero.

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Commutative Property

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A property of addition and multiplication that states the order of numbers does not change the sum or product. For example, a + b = b + a or ab = ba.

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Associative Property

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A property that states the way in which numbers are grouped does not change their sum or product. For example, (a + b) + c = a + (b + c) or (ab)c = a(bc).

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Distributive Property

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A property indicating a multiplication distributed over addition or subtraction, such as a(b + c) = ab + ac.

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Absolute Value

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The distance of a number from zero on the number line, without considering direction. It is always non-negative.

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Sum

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The result of adding two or more numbers.

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Product

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The result of multiplying two or more numbers.

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Simplify

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To reduce a mathematical expression to its simplest form.