CLASS 5TH TOPIC:-DIVISION

CONCEPT BOOSTER COURSE IN MATH.

CLASS 5TH

TOPIC:-DIVISION

SHARING EQUALLY

20 sweets are divided equally among 4 boys.
How many sweets will each boy get ?
Each boy will get

sweets.
Divide 20 sweets into 4 groups. How many sweets does each group contain ?
How many fours are there in 20 ?

How many 4,s in 20 ? We write the problem in this way.

From multiplication table we know that "5 fours are 20." The number of 4s in 20 equals 5. We write this fact as under :

5 times 4 = 20, so 20 divided by 4 = 5. From 5 × 4 = 20, we get the division fact

DIVIDING EQUALLY IN GROUPS
Observe following examples.

DIVISION AS REPEATED SUBTRACTION

Beginning with 12, 4 was subtracted repeatedly till 0 was left over. How many times was 4 subtracted from 12 ? Three times. The repeated subtraction is written as a division fact as follows.

Each box contains 3 crayons.

DIVISION ON THE NUMBER LINE

Start from 15, subtract 5 by moving 5 steps to the left. Repeat this till you reach at 0. The number of moves is 3.

MULTIPLICATION AND DIVISION ARE RELATED

The picture shows 12 teddy bears arranged in group of 2.
It shows a multiplication fact : 6 × 2 = 12
It shows a division fact :

From the multiplication fact : 2 × 6 = 12, we get the division fact

A few examples are given below.

MULTIPLICATION AND DIVISION FACTS

15 flowers = 5 groups of 3 each or 3 groups of 5 each.
5 groups of 3 = 15 and 3 groups of 5 = 15
We can write this as 3 × 5 = 5 × 3 = 15
These are called multiplication facts.
The corresponding division facts are :

DIVISION : SHORT METHOD

DIVISION : LONG METHOD
We can also write our division sum like this.

DIVISION WITH REMAINDER
Observe the following :

There are 11 softies and 5 girls. Each girl gets 2 softies when we divide equally.
How many softies remain ?
11 = 5 times 2 and 1
Each girl gets 2 softies and 1 softy remains.