Objective
To identify and use properties of real numbers
The Solve It illustrates numerical relationships that are always true for real numbers.
Essential Understanding Relationships that are always true for real numbers are called properties, which are rules used to rewrite and compare expressions.
Two algebraic expressions are equivalent expressions if they have the same value for all values of the variable(s). The following properties show expressions that are equivalent for all real numbers.
Let a, b, and c be any real numbers.
Commutative Properties of Addition and Multiplication
Changing the order of the addends does not change the sum. Changing the order of the factors does not change the product.
Algebra | Example | |
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Addition |
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Multiplication |
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Associative Properties of Addition and Multiplication
Changing the grouping of the addends does not change the sum. Changing the grouping of the factors does not change the product.
Addition |
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Multiplication |
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