Distributive Property &Using the GCF with the Distributive Property

Question 1

Fill in the blanks:
The distributive property uses the operations of multiplication and ___________. When a factor is multiplied by the ______ of two numbers, it is the same as multiplying each number by the factor and then adding the two ___________.

Answer 1

The distributive property uses the operations of multiplication and ADDITION. When a factor is multiplied by the SUM of two numbers, it is the same as multiplying each number by the factor and then adding the two PRODUCTS.

Question 2

Numbers can be expressed in different ways. For example, 25 can be written as the sum of 10 + 15. You can use the distributive property to write the sum in another way. -

Find the GCF of 10 and 15.

Factors of 10: ______________

Factors of 15: ______________

Answer 2

Find the GCF of 10 and 15.

Factors of 10: 1, 2, 5, 10

Factors of 15: 1, 3, 5, 15

Question 3

Use the GCF and the distributive property to rewrite the sum. _______ ( _____ + _____ )

Answer 3

Use the GCF and the distributive property to rewrite the sum. 5 ( 2 + 3)

Question 4

Now check your answer by drawing the “rainbow arches” to distribute the number to see if it checks. _______ ( _____ + _____ )

Answer 4

Now check your answer by drawing the “rainbow arches” to distribute the number to see if it checks. 5 ( 2 + 3) = ( 5 x 2) + (5 x 3)
10+15
25

Question 5

The 25 can be expressed as 10 + 15, which is equivalent to: ________________________

Answer 5

The 25 can be expressed as 10 + 15, which is equivalent to: 5 (2+3)