Using the Distributive Property to Rewrite Addition Problems as Multiplication Problems

The video tutorial teaches how to use the distributive property to rewrite addition problems as multiplication problems. It begins with a problem involving grouping flowers into equal sets using the greatest common factor (GCF). The tutorial explains how to find the GCF by listing factor pairs and identifying common factors. It then applies this concept to group flowers into vases, demonstrating the use of the distributive property. A second example is provided to reinforce the concept, showing how to rewrite addition problems using multiplication and the distributive property.

What is the first step in finding the greatest common factor of two numbers?

• Subtract the smaller number from the larger number

• List the factor pairs of each number

• Add the numbers together

• Multiply the numbers

How many groups of yellow flowers can be made using the greatest common factor of 15 and 18?

• 6 groups of 3 flowers

• 5 groups of 3 flowers

• 3 groups of 6 flowers

• 3 groups of 5 flowers

What is the greatest common factor of 15 and 18?

• 3

• 2

• 1

• 5

How many vases are needed to evenly distribute 25 yellow flowers and 30 blue flowers using their greatest common factor?

• 6 vases

• 3 vases

• 4 vases

• 5 vases

Using the distributive property, how can the addition problem 25 + 30 be rewritten?

• 5 * (5 + 6)

• 5 * 5 + 6

• 5 + 5 * 6

• 25 * 30