Name _______________________________________ Date ____________________

Mrs. Labuski / Mrs. Rooney Period ________ Application of Distributive Property

Objective: Students need to express a sum of two whole numbers as two factors with a common

factor as a multiple of the sum of two whole numbers with no common factor by applying the

Distributive Property.

Example: 36 + 8 as 4(9 + 2).

Step 1: Find the GCF of the numbers in the sum.

GCF of 36 and 8 is 4.

Step 2: Replace each number by a product of the GCF and its other factor.

36 + 8 = 4 9 + 4 2

Step 3: Replace the sum of the products by two factors with the GCF as a multiple of the sum of two

whole numbers.

36 + 8 = 4 9 + 4 2 = 4(9 + 2)

Write each of the following sums as two factors of their GCF and a sum:

1) 24 + 16 (GCF=_____) 2) 25 + 15 (GCF=_____) 3) 35 + 28 (GCF=_____)

________________ ________________ ________________

4) 63 + 54 (GCF=_____) 5) 80 + 30 (GCF=_____) 6) 12 + 9 (GCF=_____)

________________ ________________ ________________

7) 54 + 36 (GCF=_____) 8) 49 + 84 (GCF=_____) 9) 24 + 18 (GCF=_____)

________________ ________________ ________________

10) 20 + 44 11) 4 + 12 12) 6 + 8

________________ ________________ ________________

13) 25 + 40 14) 16 + 20 15) 60 + 72

________________ ________________ ________________

16) 42 + 63 17) 48 + 80 18) 9 + 30

________________ ________________ ________________

19) 14 + 32 20) 11 + 55

________________ ________________ ________________

Name _______________________________________ Date ____________________

Mrs. Labuski / Mrs. Rooney Period ________ Application of Distributive Property

Application of the Distributive Property

Objective: Students need to express a sum of two whole numbers as two factors with a common

factor as a multiple of the sum of two whole numbers with no common factor by applying the

Distributive Property.

Example: 36 + 8 as 4(9 + 2).

Step 1: Find the GCF of the numbers in the sum.

GCF of 36 and 8 is 4.

Step 2: Replace each number by a product of the GCF and its other factor.

36 + 8 = 4 9+4 2

Step 3: Replace the sum of the products by two factors with the GCF as a multiple of the sum of two

whole numbers.

36 + 8 = 4 9+4 2 = 4(9 + 2)

Write each of the following sums as two factors of their GCF and a sum:

1) 24 + 16 2) 25 + 15 3) 35 + 28

4(6+4) 5(5+3) 7(5+4)

4) 63 + 54 5) 80 + 30 6) 12 + 9

9(7+6) 10(8+3) 3(4+3)

7) 54 + 36 8) 49 + 84 9) 24 + 18

18(3+2) 7(7+12) 6(4+3)

10) 20 + 44 11) 4 + 12 12) 6 + 8

4(5+11) 4(1+3) 2(3+4)

13) 25 + 40 14) 16 + 20 15) 60 + 72

5(5+8) 4(4+5) 12(5+6)

16) 42 + 63 17) 48 + 80 18) 9 + 30

6(7+9) 16(3+5) 3(3+10)

19) 14 + 32 20) 11 + 55

2(7+16) 11(1+5)