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 when adding does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

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 the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Front

Illustrate the Associative Law of Addition with numbers.

Back

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

Front

Illustrate the Associative Law of Multiplication with numbers.

Back

Example: 4 × (3 × 6) = (4 × 3) × 6.

Front

What is the result of 5 × (2 × 9)?

Back

The result is the same as (5 × 2) × 9, which equals 90.

Front

If 5 × (__ × 9) = (5 × 8) × 9, what is the missing number?

Back

The missing number is 8.

Front

If 4 + (____ + 5) = (4 + 7) + 5, what is the missing number?

Back

The missing number is 7.

Front

Can you give an example of the Associative Property in real life?

Back

When adding the total cost of items, the order in which you add them does not matter. For example, if you buy a shirt for $20, pants for $30, and shoes for $50, you can add them as (20 + 30) + 50 or 20 + (30 + 50), and the total will be the same.

Front

What is the importance of the Associative Property in mathematics?

Back

It allows for flexibility in computation, making it easier to group numbers in a way that simplifies calculations.

Front

Is the Associative Property applicable to subtraction?

Back

No, the Associative Property does not apply to subtraction. For example, (5 - 2) - 1 is not the same as 5 - (2 - 1).