Equivalent Expressions and Properties

Front

What are equivalent expressions?

Back

Equivalent expressions are expressions that have the same value for all values of the variable(s) involved.

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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 their sum. For example, (a + b) + c = a + (b + c).

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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 their product. For example, (a × b) × c = a × (b × c).

Front

Provide an example of the Commutative Property of Addition.

Back

An example of the Commutative Property of Addition is: a + b = b + a.

Front

Provide an example of the Commutative Property of Multiplication.

Back

An example of the Commutative Property of Multiplication is: a × b = b × a.

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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 their sum.

Front

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.

Front

How can you determine if two expressions are equivalent?

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To determine if two expressions are equivalent, simplify both expressions and see if they yield the same value for all variable inputs.

Front

What is the difference between the Associative and Commutative Properties?

Back

The Associative Property deals with grouping of numbers, while the Commutative Property deals with the order of numbers.

Front

What is an example of using the Associative Property in an expression?

Back

An example is: (2 + 3) + 4 = 2 + (3 + 4).