# Worksheet: Relating Multiplication and Division

In this worksheet, we will practice modeling the relationship between multiplication and division and writing a set of related facts.

Q1:

If , then .

Q2:

Given , is true or false?

• Afalse
• Btrue

Q3:

Division is the inverse of multiplication.

Use Mia’s fact to solve Anthony’s problem. Q4:

Which multiplication equation represents this model? • A
• B
• C

• A
• B
• C

Q5:

Let’s think about solving division problems.

• A
• B
• C
• D

What is ?

Q6:

We can use multiplication to solve division problems.

• A • B • C • D What is ?

Q7:

Which of these is an inverse equation of ?

• A
• B
• C
• D

Q8:

An inverse equation of is .

Find an inverse equation of .

• A
• B
• C
• D

Q9:

Which of these is an inverse equation of ?

• A
• B

Q10:

Find the missing numbers. 3 rows of triangles = 21 triangles.

• A8
• B7
• C18
• D6

So,

Q11:

The model shows that . The model can also be used to show division equations.

What number is missing from the equation ?

Q12:

Find the missing numbers by making 6 equal groups from these 54 books. .

.

.

Q13:

The model shows that . The model can also be used to show division equations.

What number is missing from the equation ?

Q14:

An inverse equation of is .

Find an inverse equation of .

• A
• B
• C
• D

Q15:

Use Noah’s fact to find the missing numbers. Q16:

The array shows that . What number is missing from the related division equation ?

Q17:

David and Charlotte know that . Who is correct?

• AThey are both correct.
• BThey are both wrong.
• COnly David is correct.
• DOnly Charlotte is correct.

Q18:

Find the missing numbers. .

.

Q19:

Find the missing numbers. 4 rows of 5 squares = squares.

So,

Q20: She wants to divide them equally between 8 friends.

Pick one equation you can solve to find the number of cookies each friend will get.

• A
• B
• C

• A
• B
• C

How many cookies will each friend get?

Q21:

Find all the missing numbers in these related facts.

.

.

.

.

Q22:

Look at how a teacher has divided her class. Which of the following equations describes this model?

• A • B • C • D • A • B • C • D Q23:

Division is the inverse of multiplication.

Find a multiplication equation related to the following division equation: • A
• B
• C
• D

Q24:

Complete:

Q25:

Given that , complete .