Equal sharing is mathematically called as "division" and division is denoted by the symbol "÷".

__UNIT−2__

__NUMBERS__

** **

__Equal
sharing and repeated subtraction__

Kabilan had 30 mangoes and wanted to
share them among 5 of his friends. Let us see the way he shared the one by one
mangoes equally among his friends.

F
= Friend

**Number of steps = 6**

__Let us express this in a
number line__

**Repeated subtraction
statement 30 − 5 − 5 −5 − 5 −5 −5 = 0**

Kabilan distributed **30 mangoes**
among **5 of his friends** by giving them one mango in each step. Thus each
friend has got **6 mangoes.**

** **

**Imagine Kabilan has to
share these 30 mangoes among 10 of his friends.**

**Number of steps = 3**

__The number line for the
above situation:__

**Repeated subtraction
statement 30 −10 −10 − 10 = 0**

This time Kabilan has shared **30
mangoes** among **10 of his friends** in **3 steps**. Each friends has
got **3 mangoes**.

Suppose Kabilan has to share the
mangoes among 15 of his friends. How many mangoes would each of them get? How
Many steps would he require to share the mangoes among them?

**Number of steps = 2**

__Complete the number line__

**Repeated subtraction
statement**
__30 – 15 – 15 = 0__

Kabilan shared 30 mangoes among 15 of
his friends in ** 2** steps.

Each friend got ** 2 **mangoes.

** **

__Let us summarize the
above 3 examples as follows.__

This
can also be written as

30
÷ 5 = 6

30
÷ 10 = 3

30
÷ 15 = 2

Equal sharing is mathematically called
as **"division"** and
division is denoted by the symbol "÷".

**Let us see another
example**

8 ÷ 4 = 2

Here, 8 is the **dividend** 4 is
the **divisor** and 2 is the **quotient**

** **

**Complete
the table.**

Can you share 2 mangoes
among 5 of your friends?

No, This means that dividend should always be greater than the divisor.

Tags : Numbers | Term 3 Chapter 2 | 3rd Maths , 3rd Maths : Term 3 Unit 2 : Numbers

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3rd Maths : Term 3 Unit 2 : Numbers : Equal sharing and repeated subtraction | Numbers | Term 3 Chapter 2 | 3rd Maths

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