Greatest Common Factor and Distributive Property

This video tutorial explains how to create equivalent expressions using the greatest common factor (GCF) and the distributive property. It begins with an introduction to the concepts of GCF and the distributive property, followed by a detailed explanation of addends and factors. The tutorial provides examples, such as 24 plus 9 and 15 plus 45, to demonstrate how to apply the GCF and distributive property to rewrite expressions. The video emphasizes the importance of correctly factoring out the GCF from both addends to avoid common mistakes.

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

• To simplify multiplication

• To find the sum of numbers

• To create equivalent expressions using the GCF

• To divide numbers evenly

How can parentheses be used in mathematical expressions?

• To add numbers

• To divide numbers

• To multiply numbers

• To separate factors

What is the greatest common factor (GCF)?

• The smallest factor of a number

• The sum of two numbers

• The product of two numbers

• The largest factor shared by two numbers

What is a common mistake when using the distributive property?

• Forgetting to multiply

• Forgetting to factor out the GCF from both addends

• Using the wrong numbers

• Not adding correctly

What is the GCF of 24 and 9?

• 2

• 3

• 9

• 6

How can 24 plus 9 be expressed using the distributive property?

• 4 times (6 plus 2.25)

• 2 times (12 plus 4.5)

• 5 times (5 plus 1.8)

• 3 times (8 plus 3)

What is the GCF of 15 and 45?

• 20

• 5

• 15

• 10

How can 15 plus 45 be expressed using the distributive property?

• 10 times (1 plus 4.5)

• 15 times (1 plus 3)

• 20 times (0.75 plus 2.25)

• 5 times (3 plus 9)

Why is it important to factor out the GCF in expressions?

• To make calculations easier

• To ensure expressions are equivalent

• To reduce the number of terms

• To increase the value of the expression

What does the expression 15 times (1 plus 3) represent?

• The product of 15 and 4

• The difference between 15 and 45

• The division of 15 by 3

• The sum of 15 and 45