Wams ch 3 Number Properties

Front

What is the Associative Property?

Back

The Associative Property states that changing the grouping of numbers in addition or multiplication does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

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 and a × b = b × a.

Front

What is an example of the Associative Property in multiplication?

Back

(4 × 5) × 2 = 4 × (5 × 2).

Front

What does the Distributive Property state?

Back

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

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus zero equals the number itself. For example, a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by one equals the number itself. For example, a × 1 = a.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any number is equal to itself. For example, a = a.

Front

What is the difference between the Commutative and Associative Properties?

Back

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

Front

Provide an example of the Commutative Property in addition.

Back

3 + 5 = 5 + 3.

Front

Provide an example of the Distributive Property.

Back

2(3 + 4) = 2 × 3 + 2 × 4.