Basic Division Facts

Some basic division facts are needed to follow for dividing numbers. The repeated subtraction of the same number is expressed by division in short form and in long form.

When objects of a collection are distributed equally, we call it division. Let us understand the above concept through some examples:

1. Share 12 pencils between 2 children. To find how many pencils each child will get, we start giving 1 pencil to each child until we are left with no pencils.

Simple Division Facts

This means 12 pencils have been divided into 2 groups of 6 pencils. Each child gets 6 pencils.

It means that there are 2 groups of 6.

               This is written as 12 ÷ 2 = 6

This is called a division fact.


Note: '÷' is the symbol for division.


In a division sum:

  1. the number which we divide is called dividend.
  2. the number by which we divide is called divisor.
  3. the result of division is called quotient.

On the above example 12 ÷ 2 = 6

12 is the dividend,

2 is the divisor and 

6 is the quotient.

2. Suppose you have 18 balloons. Divide them equally among 3 children.

Solution:

Let us distribute 18 balloons equally among 3 children.

Basic Division Facts
Basic Division Facts
Basic Division Facts
Basic Division Facts

Each child has 6 balloons.

We write it as 18 ÷ 3 = 6.

We say that 18 divided by 3 is equal to 6.

18 ÷ 3 = 6 is called a division fact.


3. Let there be 12 mangoes. These mangoes are to be distributed equally among 4 boys.

Let us distribute 12 mangoes among the 4 boys separately to have the mangoes. First of all one mango is placed for each boy.

We see that a number of mangoes are left. Then another mango is placed for each boy. Still there are mangoes left.

Now a third mango is placed for each boy. Now each boy has 3 mangoes and no mango is left outside.

On adding the mangoes for each boy we get;

basic division facts, repeated subtraction, division is the inverse of multiplication, division

3 mangoes + 3 mangoes + 3 mangoes + 3 mangoes = 12 mangoes

It means: 3 mangoes 4 times = 12            

or, 3 × 4 = 12

It proves the multiplication fact 3 × 4 = 12. Again if we take away 3 four times from 12 we get zero.

It means 12 – 3, four times = 0, 12 ÷ 3 = 4

or, 12 ÷ 4 = 3


Hence we get,

(i) 3 four times or four times 3 shows the multiplication fact:

3 × 4 = 12

or, 4 × 3 = 12

(ii) 3 taken out 4 times shows the basic division fact:

12 ÷ 3 = 4

or, 12 ÷ 4 = 3


Thus, distributing equally or making groups of equal number of objects shows the division fact.

(i) Adding the same number repeatedly shows multiplication fact:

(3 + 3 + 3 + 3 = 4 × 3 = 12)

(ii) Subtracting the same number repeatedly shows division fact:

(12 – 3 – 3 – 3 – 3 = 0; 12 ÷ 3 = 4)


Thus, the process of division is the inverse of multiplication and the process of multiplication is the inverse of division.

Therefore, we also know that;

(i) 3 × 4 = 12 gives two division facts as 12 ÷ 3 = 4 and 12 ÷ 4 = 3

(ii) 12 ÷ 3 = 4 gives two multiplication facts as 3 × 4 = 12 and 4 × 3 = 12.


More Example:

4. Let us look at the following example to see what division means.

There are 12 sticks of roses and 4 flower pots.

Understanding Division

Put an equal number of flowers in each flower pot.


First put one rose stick in each flower pot.

Understanding Division
Understanding Division

12 - 4 = 8


Then put one more rose stick in each flower pot.

Understanding Division
Understanding Division

8 - 4 = 4


Continue till there are no rose sticks left.

Understanding Division
Understanding Division

4 - 4 = 0

We find, each flower pot has 3 rose sticks in it.

This can be written as: 12 - 4 = 8; 8 - 4 = 4; 4 - 4 = 0


Subtracting the same number over and over again is known as repeated
subtraction.

Using division,

We write: 12 ÷ 4 =3

We read: 12 divided by 4 equals 3.

Repeated subtraction is called division. We use division only when we want to share equally.


Equal Sharing

1. Priya has a bar of chocolate which has 6 pieces. She wants to
share it equally with her friend Rahul. How many pieces of
chocolate will each of them get?

Give one piece to each of them.

Give one more to each.

Continue till there are no pieces left.

We find that each friend gets 3 pieces of chocolate.

This can be written as:

6 - 2 = 4; 4 - 2 = 2; 2 - 2 = 0

or, 6 ÷ 2 = 3


2. You are given 4 pencils.

Share equally with your friend.

4 - 2 = 2

2 - 2 = 0

or, 4 ÷ 2 = 2


Equal Grouping

20 apples have to be divided into equal shares and kept in baskets. If 5 apples are kept in one basket, how many baskets will be needed?

20 Apples

Put 5 apples in one basket.

5 Apples

Put 5 more apples in another basket.

5 Apples
5 Apples

Put 5 more apples in another basket.

5 Apples
5 Apples
5 Apples

There are still apples left, so put 5 more in another basket.

5 Apples
5 Apples
5 Apples
5 Apples

Now there are no more apples left.

So, 4 baskets are needed in all.

This can be written as: 20 - 5 = 15; 15 - 5 = 10; 10 - 5 = 5; 5 - 5 = 0

or,                              20 ÷ 5 = 4


Identify the dividend, divisor and the quotient in the given division statement.

Dividend, Divisor and Quotient

Let us recall some of the important facts about division.

  • Division means splitting into equal groups.
  • Division is repeated subtraction.
  • Division is inverse of multiplication.

In a division sum of the number to be divided is called the dividend. The number by which we divide is called the divisor. The result of division is called the quotient.


Review of Division :

When we make equal groups, we use division.

 The sign of division is ÷

 A number divided by itself equals to 1.

e.g. 7 ÷ 7 = 1  or  4 ÷ 4 = 1  or  9 ÷ 9 = 1


 A number divided by 1 equals to the number itself.

e.g. 2 ÷ 1 = 2  or  5 ÷ 1 = 5  or   8 ÷ 1 = 8


Zero divided by any number equals to zero.

e.g. 0 ÷ 3 = 0  or  0 ÷ 6 = 0  or  0 ÷ 10 = 0


Questions and Answers on Basic Division Facts:

I. Write the division facts using the division symbol for each picture.

(i) Share 8 erasers between 2 children.

Division Facts

8  ÷ 2 = 4


(ii) Share 4 scissors between 2 children.

Division Facts





4  ÷ __ = __


(iii) Share 14 keys between 2 children.

Division Facts







14  ÷ __ = __


(iv) Share 12 pens between 2 children.

Division Facts




12  ÷ __ = __

Answer:

I. (ii) 4  ÷ 2 = 2

(iii) 14 ÷ 2 = 7

(iv) 12 ÷ 2 = 6


II. Fill in the blanks -

(i) 0 ÷ 5 = _____

(ii) 0 ÷ 6 = _____

(iii) 0 ÷ 8 = _____

(iv) 0 ÷ 9 = _____

(v) 4 ÷ 1 = _____

(vi) 3 ÷ 1 = _____

(vii) 2 ÷ 1 = _____

(viii) 6 ÷ 1 = _____

(ix) 2 ÷ 2 = _____

(x) 5 ÷ 5 = _____

(xi) 6 ÷ 6 = _____

(xii) 8 ÷ 8 = _____

(xiii) 7 ÷ 1 = _____

(xiv) 3 ÷ 3 = _____

(xv) 0 ÷ 2 = _____

(xvi)÷ 1 = _____

(xvii)÷ 1 = _____

(xviii)÷ 1 = _____

(xix)÷ 4 = _____

(xx)÷ 1 = _____

(xxi)÷ 3 = _____

(xxii)÷ 7 = _____

(xxiii)÷ 9 = _____

(xxiv)÷ 1 = _____


Answer:

II. (i) 0

(ii) 0

(iii) 0 

(iv) 0

(v) 4

(vi) 3

(vii) 2

(viii) 6

(ix) 1

(x) 1

(xi) 1

(xii) 1

(xiii) 7

(xiv)1

(xv) 0

(xvi) 6

(xvii) 8

(xviii) 9

(xix) 0

(xx) 5

(xxi) 0

(xxii) 0

(xxiii) 1

(xxiv) 1


III. Fill in the blanks -

(i) 6 ÷ _____ = 6

(ii) 2 ÷ _____ = 2

(iii) 2 ÷ _____ = 1

(iv) 4 ÷ _____ = 0

(v) _____ ÷ 9 = 0

(vi) _____ ÷ 8 = 1

(vii) _____ ÷ 3 = 3

(viii) _____ ÷ 2 = 1

(ix) 5 ÷ _____ = 1

(x) 7 ÷ _____ = 1

(xi) 6 ÷ _____ = 6

(xii) 1 ÷ _____ = 3

(xiii) _____ ÷ 7 = 0

(xiv) _____ ÷ 1 = 8

(xv) _____ ÷ 6 = 1

(xvi) 6 ÷ _____ = 0


IV. Put an equal number of marbles in each bag.

One has been done for you.


(i) Put 15 marbles in 3 bags.

Division by Sharing Equally


(ii) Put 6 marbles in 2 bags.

Empty Bag
Empty Bag


(iii) Put 9 marbles in 3 bags.

Empty Bag
Empty Bag
Empty Bag


(iv) Put 10 marbles in 5 bags.

Empty Bag
Empty Bag
Empty Bag
Empty Bag
Empty Bag


(v) Put 15 marbles in 5 bags.

Empty Bag
Empty Bag
Empty Bag
Empty Bag
Empty Bag


V. How many groups would there be?

Show in terms of repeated subtraction and division.

One has been done for you.

(i)

Repeated Subtraction

10 balls to be put in groups of 5 each.

10 - 5 = 5; 5 - 5 = 0

              10 ÷ 5 = 2

So, there would be 2 groups.

(ii)

Repeated Subtraction

6 gloves to be put in pairs of
2 each.

__________________________

__________________________

__________________________

(iii)

10 Shells

10 shells to be put in groups of
2 each.

__________________________

__________________________

__________________________

(iv)

12 Books

12 books to be put in groups of
3 each.

__________________________

__________________________

__________________________

(v)

Basic Division Facts

30 toffees to be put in groups of 10 each.

__________________________

__________________________

__________________________


VI. Fill in the boxes:

(i)

Division Facts

18 books have been divided equally into _____ groups.

Each group contains _____ books.

Division fact is 18 ÷ 6 = _____


(ii) 

Basic Division Facts

24 mangoes have been divided equally into _____ groups.

Each group contains _____ mangoes.

Division fact is 24 ÷ 6 = _____


(iii)

Basic Division Facts

30 bananas have been divided equally into groups.

Each group contains _____ bananas.

Division fact is _____ ÷ _____ = _____


(iv)

Basic Division Facts

8 toffees have been divided equally into groups.

Each group contains _____ toffees.

Division fact is _____ ÷ _____ = _____

You might like these





2nd Grade Math Practice

From Basic Division Facts to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. 4th Grade Mental Math on Roman Numerals | Roman Numerals Quiz

    Feb 23, 24 03:55 PM

    In 4th grade mental math on numbers, students can practice different questions on write the Hindu-Arabic numerals, write the Roman Numerals, comparison of roman numerals, addition of roman numerals.

    Read More

  2. 4th Grade Mental Math on Numbers | Mental Math 4th Grade with Answers

    Feb 23, 24 02:24 PM

    4th Grade Mental Math on Numbers
    In 4th grade mental math on numbers, students can practice different questions on numbers in figures, number name, place value, face value, comparison of number and formation of greatest and smallest…

    Read More

  3. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 23, 24 01:28 PM

    List of Roman Numerals Chart
    How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

    Read More

  4. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

    Feb 22, 24 04:15 PM

    Roman Numbers Table
    Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

    Read More

  5. Roman Symbols | What are Roman Numbers? | Roman Numeration System

    Feb 22, 24 02:30 PM

    Roman Numbers
    Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

    Read More