Solve Multiplication and Division Equation Problem
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:
- Find the value for? that makes the equation true.
a. 8 x ? = 24.
b. 3 x ? = 12.
c. 4 x ? = 32. - Find the value for? that makes the equation true.
a. ? ÷ 5 = 7
c. b. 40 ÷ 5 =?
d. ? = 36 ÷ 6 - 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? - Cadena baked 30 muffins and divided them equally into 5 tins. How many muffins did Cadena put in each tin?
- 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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