Relating Multiplication and Division

Multiplication and Division Fact Families

Multiplication and division are related!

• Multiplication and division are related in the same way addition and subtraction are: INVERSE (which means opposite!)

• This means they can UNDO each other

• 5 x 2 = 10, so... 10 ÷ 2 = 5

• 10, 2, and 5 are in the same family

Let's solve:

Mrs. Barbara packages her homemade donuts for the bake sale in this arrangement.

Fill in the Blanks

Multiple Choice

A division sentence that represents this array is

• 7 ÷ 3 = 21

• 21 ÷ 3 = 7

Did you know?

The largest donut ever made was a jelly donut that weighed 3,400 pounds!

Multiple Select

Mr. Sprinkle packages muffins he baked in this arrangement. Choose ALL the multiplication and division equations that would represent this arrangement.

• 12 x 2 = 6

• 6 x 2 = 12

• 6 ÷ 2 = 12

• 12 ÷ 6 = 2

• 2 x 6 = 12

Sometimes we need to find an unknown number in equations.

Let's solve

Amanda wants to bake 36 cookies. She is baking them using 4 cookie sheets and putting an equal number of cookies on each sheet. How many cookies will she put on each cookie sheet?

Let's solve

Amanda wants to bake 36 cookies. She is baking them using 4 cookie sheets and putting an equal number of cookies on each sheet. How many cookies will she put on each cookie sheet?

Multiple Choice

Kirstin bought 3 boxes of donuts for her class party. She bought 24 donuts total. How many donuts are in each box? Find the unknown number.

• 5

• 6

• 7

• 8

• 9

Multiple Select

Grandma Judy laid her cookies out to cool in this arrangement. Select ALL the equations that can be used to represent this array.

• 42 x 7 = 6

• 7 x 6 = 42

• 6 ÷ 42 = 7

• 42 ÷ 7 = 6

• 6 x 7 = 42

Multiple Choice

What is the unknown number?

5 x ? = 35

35 ÷ ? = 5

• 5

• 6

• 7

• 8

Multiple Choice

Complete the fact family

42 ÷ 7 = 6

42 ÷ 6 = 7

7 × 6 = 42

_ × 7 = 42

• 6

• 7

• 42

• 49

Multiple Choice

Complete the fact family.

9 x 6 = 54

_ x 9 = 54

54 ÷ 9 = 6

54 ÷ 6 = 9

• 54

• 6

• 9

• 96

Multiple Choice

Complete the fact family.

6 x 3 = 18

3 x 6 = 18

_ ÷ 3 = 6

18 ÷ 6 = 3

• 18

• 3

• 6

• 8

Multiple Choice

Complete the fact family.

2 x 6 = 12

6 x 2 = 12

12 ÷ 2 = 6

12 ÷ 6 = _

• 12

• 2

• 6

• 3

Multiple Choice

Which is in the same fact family as 8 x 8?

• 56 ÷ 8

• 56 ÷ 7

• 8 + 8

• 64 ÷ 8

Multiple Choice

Isaac did 4 sets of 10 jumping jacks during PE. Which expression is in the same fact family as 4 x 10 ?

• 40 x 4

• 4 + 10

• 40 x 8

• 40 ÷ 4

Multiple Choice

Rebecca used 3 feet of ribbon to make a Christmas bow. There are 12 inches in each foot. Which expression is in the same fact family as 3 x 12?

• 36 x 3

• 3 + 12

• 12 x 2

• 36 ÷ 12

Multiple Choice

Edna uses 8 chocolate chips per each cookie that she makes. She is making 6 cookies for her best friend. Which expression is in the same fact family as 6 x 8?

• 8 x 6

• 48 ÷ 4

• 12 x 4

• 48 ÷ 48

Multiple Choice

Which is NOT in the same fact family as 7 x 8 = 56?

• 8 x 7

• 56 ÷ 8

• 56 x 7

• 56 ÷ 7

Multiple Choice

Which is NOT in the same fact family as 2 x 4 = 8?

• 4 x 2

• 8 ÷ 2

• 8 x 2

• 8 ÷ 4

Multiple Select

Sam was at the beach for 12 days and found 8 seashells every day. Select ALL the expressions that are NOT in the same fact family as 12 x 8.

• 12 x 8 = 84

• 84 ÷ 12 = 8

• 96 ÷ 12 = 8

• 8 x 12 = 96

Multiple Choice

Addyson's favorite cereal box holds 18 cups of cereal. Each serving is 2 cups. Which is NOT in the same fact family as 18 ÷ 2?

• 2 x 9 = 18

• 18 ÷ 9 = 2

• 9 x 2 = 18

• 9 ÷ 2 = 18

Multiple Choice

At the fair, all 28 students want to ride the Twister. Each car will hold 4 people. Figure out how many cars they will need. Which expression is in the same fact family?

• 4 x 6 = 28

• 28 ÷ 4 = 8

• 28 ÷ 7 = 4

• 9 x 4 = 28

Multiple Select

There are 45 students in the 3rd grade band class. The director wants to put them into rows of 5 students. Figure out how many rows he will need. Select ALL the expressions that are NOT in the same fact family.

• 8 x 5 = 45

• 5 = 45 ÷ 8

• 45 = 5 x 9

• 9 ÷ 5 = 45

GOOD WORK!

Congrats math rockstars!