Properties of Algebra

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that any number multiplied by 1 remains unchanged. For example, 5 * 1 = 5.

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped when adding does not change their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What is the Addition Property of Equality?

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The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal. For example, if a = b, then a + c = b + c.

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What is the Additive Identity Property?

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The Additive Identity Property states that any number plus 0 remains unchanged. For example, x + 0 = x.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that the order in which two numbers are added does not change their sum. For example, 3 + 5 = 5 + 3.

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change their product. For example, 4 * 6 = 6 * 4.

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped when multiplying does not change their product. For example, (2 * 3) * 4 = 2 * (3 * 4).

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What is the Subtraction Property of Equality?

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The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal. For example, if a = b, then a - c = b - c.

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What is the Division Property of Equality?

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The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b and c ≠ 0, then a/c = b/c.

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What is the Multiplicative Inverse Property?

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The Multiplicative Inverse Property states that a number multiplied by its reciprocal equals 1. For example, 5 * (1/5) = 1.