Greatest Common Factor and Distributive Property

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