Home Math Primary Division Information | Division is the Inverse of Multiplication |Math

### Primary Division Information | Division is the Inverse of Multiplication |Math

Some primary division information are wanted to comply with for dividing numbers. The repeated subtraction of the identical quantity is expressed by division in brief kind and in lengthy kind.

Share 12 pencils between 2 youngsters. To search out what number of pencils
every little one will get, we begin giving 1 pencil to every little one till we’re left
with no pencils.

This implies 12 pencils have been divided into 2 teams of 6
pencils. Every little one will get 6 pencils.

It signifies that there are 2 teams of 6.

That is written as 12 ÷ 2 = 6

That is referred to as a division truth.

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

Allow us to distribute 12 mangoes among the many 4 boys individually to have the mangoes. Initially one mango is positioned for every boy.

We see that quite a lot of mangoes are left. Then one other mango is positioned for every boy. Nonetheless there are mangoes left.

Now a 3rd mango is positioned for every boy. Now every boy has 3 mangoes and no mango is left exterior.

On including the mangoes for every boy we get;

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

It means:
3 mangoes 4 occasions = 12

or, 3 × 4 = 12

It proves the
multiplication truth 3 × 4 = 12. Once more if we take away 3 4 occasions from 12 we
get zero.

It means 12 – 3,
4 occasions = 0, 12 ÷ 3 = 4

or, 12 ÷ 4 = 3

Therefore we get,

(i) 3 4 occasions
or 4 occasions 3 exhibits the multiplication truth:

3 × 4 = 12

or, 4 × 3 = 12

(ii) 3 taken out
4 occasions exhibits the fundamental division truth:

12 ÷ 3 = 4

or, 12 ÷ 4 = 3

Thus, distributing
equally or making teams of equal variety of objects exhibits the division truth.

(i) Including the
similar quantity repeatedly exhibits multiplication truth:

(3 + 3 + 3 + 3 =
4 × 3 = 12)

(ii) Subtracting
the identical quantity repeatedly exhibits division truth:

(12 – 3 – 3 – 3 –
3 = 0; 12 ÷ 3 = 4)

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

Due to this fact, we

(i) 3 × 4 = 12
offers two division information as 12 ÷ 3 = 4 and 12 ÷ 4 = 3

(ii) 12 ÷ 3 = 4
offers two multiplication information as 3 × 4 = 12 and 4 × 3 = 12.

Extra Instance:

Allow us to take a look at the next instance to see what division means.

There are 12 sticks of roses and 4 flower pots.

Put an equal variety of flowers in every flower pot.

First put one rose stick in every flower pot.

 12 – 4 = 8

Then put another rose stick in every flower pot.

 8 – 4 = 4

Proceed until there are not any rose sticks left.

 4 – 4 = 0

We discover, every flower pot has 3 rose sticks in it.

This may be written as: 12 – 4 = 8; 8 – 4 = 4; 4 – 4 = 0

Subtracting the identical quantity again and again is named repeated
subtraction.

Utilizing division,

We write: 12 ÷ 4 =3

We learn: 12 divided by 4 equals 3.

Repeated subtraction is known as division. We use division solely after we need to share equally.

Equal Sharing

1. Priya has a bar of chocolate which has 6 items. She needs to
share it equally together with her good friend Rahul. What number of items of
chocolate will every of them get?

Give one piece to every of them.

Give another to every.

Proceed until there are not any items left.

We discover that every good friend will get 3 items of chocolate.

This may be written as:

6 – 2 = 4; 4 – 2 = 2; 2 – 2 = 0

or, 6 ÷ 2 = 3

2. You’re given 4 pencils.

Share equally along with your good friend.

4 – 2 = 2

2 – 2 = 0

or, 4 ÷ 2 = 2

Equal Grouping

20 apples should be divided into equal shares and saved in baskets. If 5 apples are saved in a single basket, what number of baskets might be wanted?

Put 5 apples in a single basket.

Put 5 extra apples in one other basket.

Put 5 extra apples in one other basket.

There are nonetheless apples left, so put 5 extra in one other basket.

Now there are not any extra apples left.

So, 4 baskets are wanted in all.

This may be written as: 20 – 5 = 15; 15 – 5 = 10; 10 – 5 = 5; 5 – 5 = 0

or,                              20 ÷ 5 = 4

Determine the dividend, divisor and the quotient within the given division assertion.

Allow us to recall among the necessary information about division.

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

In a division sum of the quantity to be divided is known as the dividend. The quantity by which we divide is known as the divisor. The results of divisor is known as the quotient.

Assessment of Division :

Once we make equal teams, we use division.

The signal of division is ÷

A quantity divided by itself equals to 1.

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

A quantity divided by 1 equals to the quantity itself.

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

Zero divided by any quantity equals to zero.

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

Questions and Solutions on Primary Division Information:

I. Write the division information utilizing the division image for
every image.

(i) Share 8 erasers between 2 youngsters.

 8  ÷ 2 = 4

(ii) Share 4 scissors between 2 youngsters.

 4  ÷ __ = __

(iii) Share 14 keys
between 2 youngsters.

 14  ÷ __ = __

(iv) Share 12 pens
between 2 youngsters.

 12  ÷ __ = __

I. (ii) 4  ÷ 2 = 2

(iii) 14 ÷ 2 = 7

(iv) 12 ÷ 2 = 6

II. Fill within 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 = _____

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 within 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 variety of marbles in every bag.

One has been completed for you.

(i) Put 15 marbles in 3 luggage.

(ii) Put 6 marbles in 2 luggage.

(iii) Put 9 marbles in 3 luggage.

(iv) Put 10 marbles in 5 luggage.

(v) Put 15 marbles in 5 luggage.

V. What number of teams would there be?

Present by way of repeated subtraction and division.

One has been completed for you.

 (i) 10 balls to be put in teams of 5 every. 10 – 5 = 5; 5 – 5 = 0               10 ÷ 5 = 2 So, there can be 2 teams.
 (ii) 6 gloves to be put in pairs of2 every. __________________________ __________________________ __________________________
 (iii) 10 shells to be put in teams of2 every. __________________________ __________________________ __________________________
 (iv) 12 books to be put in teams of3 every. __________________________ __________________________ __________________________
 (v) 30 toffees to be put in teams of 10 every. __________________________ __________________________ __________________________

## You may like these

• ### Language of Addition | Whole | Altogether | Plus | Add | Sum | In all

What are the languages of addition? The language of addition are whole, whole quantity, greater than, altogether, collectively, plus, double, make, all, in all, add, improve, elevated by, sum, and.