Use Multiplication to Divide with 2, 3, 4, and 5
Key Concepts:
- Multiplication facts to divide with 2.
- Multiplication facts to divide with 3.
- Multiplication facts to divide with 4.
- Multiplication facts to divide with 5.
The Relation between multiplication and division:
Multiplication and division are closely related. When we divide, we look to separate into equal groups, while multiplication involves joining equal groups.
- 2 x 6 = 12 can be written as 12 ÷ 2 = 6.
- 3 x 5 = 15 can be written as 15 ÷ 3 = 5.
- 4 x 7 = 28 can be written as 28 ÷ 4 = 7.
- 5 x 6 = 30 can be written as 30 ÷ 5 = 6.
4.2.1 Multiplication facts to divide with 2
Example1:
Shan went to this shop. He saw 8 candles on the table. A worker has to put them equally in 2 packets. How many candles will be there in one packet?
Solution:
Find 8 ÷ 2.
Two times what number is 8?
2 x 4 = 8.
8 ÷ 2 = 4.
One way:
Another way:
4.2.2 Multiplication facts to divide with 3
Example 1:
Rosalind wants to pack 9 donuts for her friends. She packs 3 donuts into each box. How many boxes of donuts were there?
Solution:
Find 9 ÷ 3.
What number times 3 is 9.
3 x 3 = 9.
9 ÷ 3 = 3.
One way:
Another way:
4.2.3 Multiplication facts to divide with 4
Example 1:
Chris arranged 16 squares in 4 rows with colors. How many squares are arranged in each row?
Solution:
Find 16 ÷ 4.
What number times 4 is 16.
4 x 4 = 16.
16 ÷ 4 = 4.
One way:
Another way:
4. 2.4 Multiplication facts to divide with 5
Example 1:
Gloria distributed fruits to her students. She distributed 20 fruits among 5 children equally. How many fruits did each child get?
Solution:
Find 20 ÷ 5
What number times 5 is 20
5 x 4 = 20
20 ÷ 5 = 4
One way:
Another way:
Exercise:
- Find each quotient.
a. 12 ÷ 3= __________.
b. 16 ÷ 2 = __________.
c. 45 ÷ 5 =___________. - How can understanding 6 x 3 = 18 help you divide 18 ÷ 3?
- Complete each fact family.
a. 3 x 7 = 21 ___________.
b. 21 ÷ 3 = 7 ___________.
c. 4 x 9 = 36 __________.
d. 36 ÷ 4 = 9 __________. - Carla put 18 toys into two party bags. She put the same number of toys in each bag. Find the number of toys that are there in each bag?
- Complete the fact family of the following.
6. 3times what number is 15?
7. Olivia took along four friends to a local farm to pick apples. They picked 40 apples in all. Find the number of apples will each one get if they decided to share them equally?
8. Ria baked 15 pancakes cupcakes for her children. She shared equally among 3 of her children; find the pancakes each child will get?
9. Nina put 25 cups away in the cupboard. She arranged the cups in stacks of 5. How many stacks did Nina make?
10. Bruce had 16 pine cones. He divided them equally into 4 bowls. How many pine cones are there in each bowl?
Concept map:
What have we learned:
- Understand how to use multiplication facts to divide with 2, 3, 4 and 5.
- Understand how to find the quotient.
- Understand two ways to write division problem.
- Recognize the divisor, dividend, quotient for the given problem of division.
Related topics
Square 1 to 20 : Chart, Table, Perfect Squares and Examples
Square 1 to 20 When you multiply a number by itself, the result is called a square. And when you’re preparing for exams, you need to have a foundation for algebra and quick mental math because you get a really short time to do your exam. Therefore, learning the squares from one to twenty is […]
Square 1 to 40 : Table, Perfect Squares, Chart and Examples
Square 1 to 40 When you multiply a number by itself, the resulting number is a square, and if you are someone who is either appearing in a competitive exam or just wants to do well in math in school, knowing square 1 to 40 is a really important skill. But manually multiplying every time, […]
Square Root : Definition, Formula, Methods and Types Explained
Square Root Square roots are one of those seemingly daunting maths topics that appear in many different situations, from algebra to geometry. Yet the concepts behind them aren’t as hard to grasp. It makes handling numbers far easier if you know the concept well. Let us understand how to find the square roots of a number […]
Cubes 1 to 20 : Chart, Table, Memory Tricks and Examples
Most students don’t struggle much with smaller cubes like 2³ or 3³. Those usually come quickly. The hesitation starts with numbers like 11³ or 17³. Or when someone suddenly asks, what is 20 cubed? That pause is not a memory problem. It’s about the lack of proper understanding and hence confidence. Naturally, learning cubes 1 […]
Other topics
Comments: