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 4×7=28, then 28÷4=.

Q2:

Given 64×63=4,032, is 4,032÷63=64 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?

  • A8×8=64
  • B8×6=48
  • C7×8=56

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

  • A56÷7=
  • B48÷7=
  • C64÷7=

Q5:

Let’s think about solving division problems.

Pick an equation that can help you solve 42÷6.

  • A8×6=42
  • B486=42
  • C36+6=42
  • D7×6=42

What is 42÷6?

Q6:

We can use multiplication to solve division problems.

Pick a model that would help you solve 27÷3.

  • A
  • B
  • C
  • D

What is 27÷3?

Q7:

Which of these is an inverse equation of 6×4=24?

  • A4×6=24
  • B24÷4=6
  • C64=2
  • D6+4=10

Q8:

An inverse equation of 2×4=8 is 8÷4=2.

Find an inverse equation of 6×3=18.

  • A18÷4=6
  • B18÷3=6
  • C18÷4=3
  • D18÷3=2

Q9:

Which of these is an inverse equation of 54÷9=6?

  • A9×6=54
  • B54÷6=9

Q10:

Find the missing numbers.

3 rows of triangles = 21 triangles.

  • A8
  • B7
  • C18
  • D6

So, 21÷=3.

Q11:

The model shows that 3×6=18.

The model can also be used to show division equations.

What number is missing from the equation 18÷3=?

Q12:

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

6×=54.

54÷6=.

54÷9=.

Q13:

The model shows that 5×3=15.

The model can also be used to show division equations.

What number is missing from the equation 15÷3=?

Q14:

An inverse equation of 8÷4=2 is 2×4=8.

Find an inverse equation of 45÷9=5.

  • A5+9=14
  • B5×9=45
  • C45×9=5
  • D5+9=45

Q15:

Use Noah’s fact to find the missing numbers.

108÷9=

108÷=9

Q16:

The array shows that 7×5=35.

What number is missing from the related division equation 35÷7=?

Q17:

David and Charlotte know that 11×12=132.

Who is correct?

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

Q18:

Find the missing numbers.

×8=40.

40÷5=.

Q19:

Find the missing numbers.

4 rows of 5 squares = squares.

So, ÷5=4.

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.

  • A48÷8=
  • B488=
  • C48×8=

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

  • A48=8
  • B8+=48
  • C8×=48

How many cookies will each friend get?

Q21:

Find all the missing numbers in these related facts.

6×3=.

3×=18.

18÷6=.

÷3=6.

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:

  • A8×9=72
  • B8×9=17
  • C72×9=8
  • D8×72=9

Q24:

Complete: 32÷=2×8.

Q25:

Given that 505,272÷569=888, complete ×888=505,272.

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