Greatest Common Factor and Distributive Property

To simplify multiplication

To find the sum of numbers

To create equivalent expressions using the GCF

To divide numbers evenly

To add numbers

To divide numbers

To multiply numbers

To separate factors

The smallest factor of a number

The sum of two numbers

The product of two numbers

The largest factor shared by two numbers

Forgetting to multiply

Forgetting to factor out the GCF from both addends

Using the wrong numbers

Not adding correctly

2

3

9

6

4 times (6 plus 2.25)

2 times (12 plus 4.5)

5 times (5 plus 1.8)

3 times (8 plus 3)

20

5

15

10

10 times (1 plus 4.5)

15 times (1 plus 3)

20 times (0.75 plus 2.25)

5 times (3 plus 9)

To make calculations easier

To ensure expressions are equivalent

To reduce the number of terms

To increase the value of the expression

The product of 15 and 4

The difference between 15 and 45

The division of 15 by 3

The sum of 15 and 45