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Comparison of the Indian and the International numeration systems

Indian
Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Ten One
Numeration
Numbers 10000000 1000000 100000 10000 1000 100 10 1

International Ten Hundred
Numeration Million Million Thousand Ten Thousand Thousand Hundred Ten One

Commas in Indian system of numeration L T.Th Th H T O
4 5 3 1 6 9
Commas are placed to the numbers to help us
read and write large numbers easily. As per 9
Indian system of numeration, the first comma 60
is placed after the hundreds place to the right 100
hand side. Commas are then placed after every
3000
two digits.
50000
For example:–
400000
(i) 88,76,547
So, The expand form of 453169 = 400000 +
The number can be read as eighty-eight 50000 + 3000 + 100 + 60 + 9
lakh seventy-six thousand five hundred
Think a large numbers 12735045 and write
and forty-seven.
the expanded form of it.
(ii) 5,67,89,056
Expansion of 12735045
The number can be read as five crore 1,27,35,045 = 1 × 10000000 + 2 ×
sixty-seven lakh eighty-nine thousand
1000000 + 7 × 100000 + 3 × 10000 + 5 ×
and fifty-six.
1000 + 0 × 100 + 4 × 10 + 5 × 1
Commas in International system of
Formation of Numbers
Numeration
We may say the procedure of forming the
As per International numeration system, the
greatest number using the given digits is as
first comma is placed after the hundreds place.
follows:
Commas are then placed after every three
(a) The smallest digit is placed at one's place.
digits.
(b) The next greater digit is placed at ten's
For example:– place.
(i) 8,876,547 (c) The next greater digit is placed at
hundred's place and so on.
The number can be read as eight million
eight hundred seventy-six thousand five (d) The greatest digit is placed at the highest
place of the number.
hundred and forty-seven.
The smallest number is formed by the
(ii) 56,789,056
following reverse procedure:
The number can be read as fifty-six
(a) The greatest digit is placed at one's place.
million seven hundred eighty-nine
thousand and fifty-six. (b) The next smaller digit at ten's place and
so on till all the given digits are finished.
To make expanded form of the numbers (c) The smallest digit is placed at the highest

Example 1. Find the expanded form of 453169. place of the number.
Solution: Place values of digits 453169 are: For example:– Write the greatest and smallest
5 digit number using the digits 9 0 1 5 4.
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Mathematics In Focus - 6