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.
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