Associative Property

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not change the sum. For example, (a + b) + c = a + (b + c).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in a multiplication problem does not change the product. For example, (a × b) × c = a × (b × c).

Front

Give an example of the Associative Property of Addition.

Back

Example: 5 + (2 + 3) = (5 + 2) + 3, both equal 10.

Front

Give an example of the Associative Property of Multiplication.

Back

Example: 4 × (2 × 3) = (4 × 2) × 3, both equal 24.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not affect the sum or product. For example, a + b = b + a or a × b = b × a.

Front

What is the difference between Associative and Commutative Properties?

Back

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

Front

Identify the property: 8 + (2 + 5) = (8 + 2) + 5.

Back

Associative Property of Addition.

Front

Identify the property: 3 × (4 × 5) = (3 × 4) × 5.

Back

Associative Property of Multiplication.

Front

What is the Multiplicative Identity Property?

Back

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

Front

What is the Additive Identity Property?

Back

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