Finding the GCF with the Distributive Property

The video tutorial explains how to use the distributive property to create equivalent expressions by factoring out the greatest common factor (GCF) from two addends. It begins with an introduction to the concept and provides examples using numbers like 5 times 13, 24 plus 9, and 15 plus 45. The tutorial emphasizes the importance of identifying the GCF and correctly applying the distributive property to simplify expressions.

What is the purpose of using the distributive property in expressions?

• To simplify multiplication

• To add numbers

• To find the greatest common factor

• To create equivalent expressions

Which of the following is an example of breaking down a number into addends?

• 5 times 13

• 10 plus 3

• 5 times 10

• 3 times 5

What role do parentheses play in expressions?

• They show part of an expression

• They indicate multiplication

• They add numbers

• They separate factors

What is the greatest common factor (GCF)?

• The smallest factor shared by two numbers

• The largest factor shared by two numbers

• The sum of two numbers

• The product of two numbers

How do you find the GCF of two numbers?

• By listing and comparing their factors

• By multiplying the numbers

• By dividing the numbers

• By adding the numbers

What is the GCF of 24 and 9?

• 2

• 3

• 6

• 9

How can 24 + 9 be rewritten using the distributive property?

• 8 times (3 + 3)

• 9 times (3 + 3)

• 3 times (8 + 9)

• 3 times (8 + 3)

What is the GCF of 15 and 45?

• 3

• 5

• 15

• 45

How can 15 + 45 be rewritten using the distributive property?

• 45 times (1 + 3)

• 3 times (5 + 15)

• 15 times (1 + 45)

• 15 times (1 + 3)

What is the result of factoring out the GCF from 15 + 45?

• 5 + 15

• 1 + 45

• 3 + 15

• 1 + 3