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 Amelia’s fact to solve Liam’s problem.

Q4:

Which multiplication equation can be represented by the model?

  • A 8 × 8 = 6 4
  • B 8 × 6 = 4 8
  • C 7 × 8 = 5 6

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

  • A 5 6 ÷ 7 = ?
  • B 4 8 ÷ 7 = ?
  • C 6 4 ÷ 7 = ?

Q5:

Let’s think about solving division problems.

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

  • A 8 × 6 = 4 2
  • B 4 8 6 = 4 2
  • C 3 6 + 6 = 4 2
  • D 7 × 6 = 4 2

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?

  • A 4 × 6 = 2 4
  • B 2 4 ÷ 4 = 6
  • C 6 4 = 2
  • D 6 + 4 = 1 0

Q8:

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

Find an inverse equation of 6×3=18.

  • A 1 8 ÷ 4 = 6
  • B 1 8 ÷ 3 = 6
  • C 1 8 ÷ 4 = 3
  • D 1 8 ÷ 3 = 2

Q9:

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

  • A 9 × 6 = 5 4
  • B 5 4 ÷ 6 = 9

Q10:

Find the missing numbers.

3 rows of triangles = 21 triangles.

  • A8
  • B7
  • C18
  • D6

So, 21÷=3.

  • A18
  • B8
  • C6
  • D7

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.