LCM, GCF, Distributive Property

What are prime numbers?

• Numbers greater than 1 that have exactly two factors: 1 and themselves.

• Numbers that can only be divided by 1 and any other number.

• Numbers that are divisible by 2 only.

• Numbers that are less than 1 and have no factors.

What is the Distributive Property?

• The Distributive Property states that a(b + c) = ab + ac.

• The Distributive Property states that a + b = ab + ac.

• The Distributive Property states that a(b - c) = ab - ac.

• The Distributive Property states that a(b + c) = a + b + c.

What are composite numbers?

• Numbers that have only two factors.

• Numbers that have more than two factors.

• Numbers that are only even.

• Numbers that are prime.

List the first 5 multiples of 5.

• 5, 10, 15, 20, 30

• 5, 10, 15, 20, 25

• 5, 10, 15, 20, 35

• 5, 10, 15, 20, 40

How do you find the GCF of two numbers?

• To find the GCF, list the factors of each number and identify the largest factor they have in common.

• To find the GCF, multiply the two numbers together and divide by their smallest number.

• To find the GCF, subtract the smaller number from the larger number until you reach zero.

• To find the GCF, add the two numbers together and divide by two.

How do you find the LCM of two numbers?

• To find the LCM, list the multiples of each number and identify the smallest multiple they have in common.

• Multiply the two numbers together and divide by their GCD.

• Add the two numbers together and find the smallest number that is a multiple of both.

• Subtract the smaller number from the larger number until you reach zero.

If Kendra has a math test every 12 days and a vocabulary test every 9 days, when will she have both tests again?

• 24 days

• 30 days

• 36 days

• 42 days

Give an example of using the Distributive Property: 3(4 + 5)

• 3(4 + 5) = 3*4 + 3*5 = 27

• 3(4 + 5) = 3*4 + 3*5 = 15

• 3(4 + 5) = 3*4 + 3*5 = 9

• 3(4 + 5) = 3*4 + 3*5 = 20

What is a factor?

• A number that divides another number without leaving a remainder.

• A number that is multiplied by another number to get a product.

• A number that is added to another number to get a sum.

• A number that is subtracted from another number to get a difference.

If two numbers are 12 and 18, what is their LCM?

• 24

• 30

• 36

• 42