# 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.

**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

Pick a division equation that the model can help you solve.

- A
- B
- C

**Q5: **

Let’s think about solving division problems.

Pick an equation that can help you solve .

- A
- B
- C
- D

What is ?

**Q6: **

We can use multiplication to solve division problems.

Pick a model that would help you solve .

- 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: **

Elizabeth has baked 48 cookies.

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

Pick another equation that can help you find the number of cookies each friend will get.

- 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

Pick a division equation that this can help you solve.

- 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 .