Using the Distributive Property and Greatest Common Factor

This video tutorial explains how to use the distributive property to find the greatest common factor (GCF) of two addends. It provides examples using the numbers 24 and 9, and 15 and 45, demonstrating how to rewrite expressions by factoring out the GCF. The tutorial emphasizes the importance of correctly identifying and using the GCF to simplify expressions.

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 can the distributive property be used in multiplication?

• By subtracting the numbers

• By breaking down one factor into addends

• By adding the numbers first

• By multiplying each number by zero

In the expression 5 times (10 + 3), what role do the parentheses play?

• They indicate subtraction

• They separate the factors

• They group addends together

• They multiply the numbers

What is the GCF of 24 and 9?

• 2

• 9

• 3

• 6

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

• 5 times (5 + 4)

• 4 times (6 + 2.25)

• 2 times (12 + 4.5)

• 3 times (8 + 3)

What is the GCF of 15 and 45?

• 20

• 5

• 10

• 15

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

• 20 times (0.75 + 2.25)

• 10 times (1.5 + 4.5)

• 5 times (3 + 9)

• 15 times (1 + 3)