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Solve Multiplication and Division Equation Problem

Key Concepts

  • Solve multiplication equations
  • Solve division equations

Solve multiplication equation:

To solve a multiplication equation, use the inverse operation of division. Divide both sides by the same non-zero number.

8 = ? × 4         

A multiplication fact that matches this is 8 = 2 × 4       

     

Solve division equation

To solve a division equation, use the inverse operation of multiplication. Multiply both sides by the same number.

? = 80 ÷ 10

8 = 80 ÷ 10

4.8.1 Solve multiplication equations      

To solve a multiplication equation, use the inverse operation of division. Divide both sides by the same non-zero number.

Example1:

Sasha has some bags of fruits. Each bag has 6 fruits. Sasha has 18 fruits in all. How many bags of fruits does she have?

Solution:

We can write an equation to represent the problem.

18 =?  x 6

Some equation has symbols to represent unknowns.

The?  represents the number of bags of fruits Sasha has.

18 =?  x 6

The multiplication fact that matches this is 18 = 3 x 6.

The value of? is 3.

So, ? = 3.

Sasha has 3 bags of fruits.

Example2:

Rossi has some pack of sanitizer bottles. Each pack has 7 bottles. Rossi has 28 bottles in all. How many packs of sanitizers does she have?

Solution:

We can write an equation to represent the problem.

28 =?  x 7

Some equation has symbols to represent unknowns.

The?  represents the number of packs of bottles Rossi has.                                                                                                                                       

28 =?  x 7

The multiplication fact that matches this is 28 = 4 x 7.

The value of? is 4.

So, = 4.

Rossi has 4 packs of sanitizers.

4.8.2 Solve division equations

To solve a division equation, use the inverse operation of multiplication. Multiply both sides by the same number.

The pan balance shows 20 ÷ 5 = 4.

Example1:

A gardener needs 40 gladioli bulbs. Bulbs are sold in packs of 8. How many packs should the gardener buy?

Solution:

We can write an equation to represent the problem.

? = 40 ÷ 8

Some equation has symbols to represent unknowns.

The?  represents the number of packs of gladioli bulbs gardener buy.

? = 40 ÷ 8

The division fact that matches this is 5 = 40 ÷ 8

The value of  ? is 5.

So,?  = 5.

A gardener buy 5 packs of  gladioli bulbs

Example2:

Maria decides to run 7 miles for every day. How long will it take her to run 49 miles?

Solution:

We can write an equation to represent the problem.

? = 49 ÷ 7

Some equation has symbols to represent unknowns.

The?  represents the number of days Maria run.

? = 49 ÷ 7

The division fact that matches this is 7 = 49 ÷ 7

The value of ? is 7.

So,? = 7.

7 days long will it take her to run 49 miles.

Exercise:

  1. Find the value for? that makes the equation true.
    a. 8 x ? = 24.
    b. 3 x ? = 12.
    c. 4 x ? = 32.
  2. Find the value for? that makes the equation true.
    a. ? ÷ 5 = 7
    c. b. 40 ÷ 5 =?
    d. ? = 36 ÷ 6
  3. Write and solve an equation that represents the problem.
    A jewelry store has 56 rings to display. They arrange the rings in 8 even rows. Find how many rings are in each row?
  4. Cadena baked 30 muffins and divided them equally into 5 tins. How many muffins did Cadena put in each tin?
  5.  Fill in the missing number.

6. Find the product of the following.
a. 9 x 5 = ____________________
b. 5 x 5 = ____________________
c. 8 x 5 = ____________________

7. Find the quotient of the following.
a. 45 ÷ 5 = ____________________
b. 50 ÷ 5 = ____________________
c. 12 ÷ 4 = ____________________

8. Fill in the missing number.
a. 20 ÷ ______= 10
b. ______÷ 2 = 1
c. ______ ÷ 7 = 3

9. Balance the equation.
a. 16 ÷ 4 = 2 x ____.
b. 20 ÷ 2 = 5 x ____.

10. Balance the given division. 

Concept map:

What have we learned:

  • Understand multiplication and division equation.
  • Understand how to solve multiplication equation
  • Understand how to solve division equation.
  • Understand how to write equation for word problems.
  • Understand how to balance multiplication equation = division equation.

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