Properties of Mathematics

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, 9 + (4 + 11) = (9 + 4) + 11.

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What is the Commutative Property of Addition?

Back

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

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What is the Associative Property of Multiplication?

Back

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

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What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, 17 x 30 = 30 x 17.

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What is the Multiplicative Identity?

Back

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

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

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What is the definition of a variable in mathematics?

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A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

What is the purpose of parentheses in mathematical expressions?

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Parentheses indicate which operations should be performed first in an expression.

Front

What is the Commutative Property of Subtraction?

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The Commutative Property does not apply to subtraction; changing the order of numbers in subtraction changes the result.