Associative Property

Front

What is the Associative Property in mathematics?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Front

Provide an example of the Associative Property of Addition.

Back

An example is: 2 + (3 + 4) = (2 + 3) + 4, both equal to 9.

Front

Provide an example of the Associative Property of Multiplication.

Back

An example is: 5 × (2 × 3) = (5 × 2) × 3, both equal to 30.

Front

What is the result of 9 + (3 + 4) using the Associative Property?

Back

The result is 16, as (9 + 3) + 4 also equals 16.

Front

If 7 + (4 + 2) = 13, what does (7 + 4) + 2 equal?

Back

(7 + 4) + 2 also equals 13.

Front

What is the missing number in the equation 4 + (____ + 5) = (4 + 7) + 5?

Back

The missing number is 7.

Front

Which equation illustrates the Associative Law of Addition?

Back

3 + (2 + 4) = (3 + 2) + 4.

Front

How does the Associative Property help in simplifying expressions?

Back

It allows for regrouping of numbers to make calculations easier without changing the result.

Front

Can the Associative Property be applied to subtraction?

Back

No, the Associative Property does not apply to subtraction or division.

Front

What is the difference between the Associative Property and the Commutative Property?

Back

The Associative Property deals with grouping of numbers, while the Commutative Property deals with the order of numbers. For example, a + b = b + a.