Identify Properties-General

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Associative Property of Addition?

Back

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

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products.

Front

How do you find the Greatest Common Factor (GCF) of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the result of applying the Distributive Property to the expression 4(y + z)?

Back

Applying the Distributive Property to 4(y + z) results in 4y + 4z.

Front

What does the expression 2(3 + 5) represent in terms of area?

Back

The expression 2(3 + 5) represents the total area of a rectangle with a length of 2 and a width that is the sum of 3 and 5.

Front

What is the difference between the Associative and Commutative Properties?

Back

The Associative Property deals with grouping of numbers (e.g., (a + b) + c), while the Commutative Property deals with the order of numbers (e.g., a + b = b + a).

Front

Can you give an example of the Commutative Property of Multiplication?

Back

An example of the Commutative Property of Multiplication is 3 x 4 = 4 x 3.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

How can you rewrite the expression 24 + 30 using the Distributive Property?

Back

You can rewrite 24 + 30 as 6(4 + 5) using the Distributive Property and the GCF of 6.