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Worksheet: Relationship between Multiplication and Division

Q1:

Complete:

Q2:

Division is the inverse of multiplication.

Use Amelia’s fact to solve Liam’s problem.

Q3:

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 6 4 ÷ 7 = ?
  • C 4 8 ÷ 7 = ?

Q4:

Let’s think about solving division problems.

Pick an equation that can help you solve 4 2 ÷ 6 .

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

What is 4 2 ÷ 6 ?

Q5:

We can use multiplication to solve division problems.

Pick a model that would help you solve 2 7 ÷ 3 .

  • A
  • B
  • C
  • D

What is 2 7 ÷ 3 ?

Q6:

Which of these is an inverse equation of 6 × 4 = 2 4 ?

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

Q7:

Knowing that 2 1 = 3 × 7 , complete the following sentence:

When sweets were distributed equally among children, each child received 7 sweets.

  • A 3 , 7
  • B 3 , 2 1
  • C 7 , 3
  • D 2 1 , 3

Q8:

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

Find an inverse equation of 6 × 3 = 1 8 .

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

Q9:

Which of these is an inverse equation of 5 4 ÷ 9 = 6 ?

  • A 9 × 6 = 5 4
  • B 5 4 ÷ 6 = 9

Q10:

Find all the missing numbers in these related facts.

6 × 3 = ?

3 × ? = 1 8 .

1 8 ÷ 6 = ?

? ÷ 3 = 6 .

Q11:

Find the missing numbers.

3 rows of triangles = 21 triangles.

  • A8
  • B6
  • C18
  • D7

So,

  • A8
  • B18
  • C6
  • D7

Q12:

The model shows that 3 × 6 = 1 8 .

The model can also be used to show division equations.

What number is missing from the equation 1 8 ÷ 3 = ?

Q13:

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