Worksheet: Relationship between Multiplication and Division

In this worksheet, we will practice relating between multiplication and division processes and deducing that division is the inverse of multiplication.

Q1:

There are 44 children in a room. Each group of 4 children is sitting around a table. How many tables are there?

Q2:

If 4 × 7 = 2 8 , then 2 8 ÷ 4 = .

Q3:

Find the missing factor:

Q4:

Find the missing dividend:

Q5:

Complete: × 5 = 4 5 .

Q6:

Use the array to find the missing number.

Q7:

A girl wants to share 45 oranges equally among 5 people. How many oranges will each person receive?

Q8:

Knowing that 1 5 = 5 × 3 , complete the following sentence:

When notebooks were distributed equally among students, each student received 3 notebooks.

  • A 3 , 5
  • B 5 , 1 5
  • C 1 5 , 3
  • D 1 5 , 5

Q9:

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

Q10:

Given 6 4 × 6 3 = 4 , 0 3 2 , is 4 , 0 3 2 ÷ 6 3 = 6 4 true or false?

  • Atrue
  • Bfalse

Q11:

Division is the inverse of multiplication.

Use Dina’s fact to solve Amir’s problem.

Q12:

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 = ?

Q13:

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 ?

Q14:

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 ?

Q15:

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

Q16:

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

Q17:

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

  • A 9 × 6 = 5 4
  • B 5 4 ÷ 6 = 9

Q18:

Find the missing numbers.

3 rows of triangles = 21 triangles.

  • A8
  • B6
  • C18
  • D7

So,

  • A8
  • B18
  • C6
  • D7

Q19:

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 = ?

Q20:

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