System of Numeration
Place Value Chart according to the Indian System of Numeration.
Indian system we start grouping the number from right in group of 3 and further
in group of 2.The place value chart have been separated into groups called
periods i.e. ones, thousands, lakhs and crores.
Reading of number
according to Indian System of Numeration
Indian System of Numeration periods such as ones, thousands, lakhs, crores,
etc. are used so that number can be easily read.
Let’s read the below number according to Indian System of
11, 54, 08, 453
First put the number in their respective
number is read as eleven crore fifty four lakh eight thousand four hundred
Marking periods according
to Indian System of Numeration
periods like ones, thousands, lakhs and crores are separated by comma (,) starting
from the right to differentiate the periods.
start with the first period, named as ones period, consist the first three
digits of the given number. The second period (i.e. thousands period) is consist
of the next two digits of the given number. The third period (i.e. lakhs
period), consist of the next two digits of the given number. The fourth period
(i.e. crores period), consist of the next two digits of the given number.
Let’s differentiate periods by placing commas in between.
number is separated by comma as 45, 78, 33, 228
Example: 88, 45, 11, 009
Expanded Form and Standard
each digit of a given number is written with its place value, we get the
expanded form of the number.
Example: 34, 16, 97, 832
can expand any given number in three ways:
ten crore + 4 crore + 1 ten lakh + 6 lakh + 9 ten thousand + 7 thousand + 8
hundred + 3 ten + 2 one
x 10,00,00,000 + 4 x 1,00,00,000 + 1 x 10,00,000 + 6 x 1,00,000 + 9 x 10,000 +
7 x 1,000 + 8 x 100 + 3 x 10 + 2 x 1
+ 4,00,00,000 + 10,00,000 + 6,00,000 + 90,000 + 7,000 + 800 + 30 + 2
Successor and Predecessor
find the successor of a given number, we add 1 to it and to find predecessor of
a given number, we subtract 1 from it.
of 99,99,999 is 99,99,999 + 1 = 1,00,00,000
of 4,00,00,000 is 4,00,00,000 – 1 = 3,99,99,999
arrangement of numbers from the smallest to the greatest is called ascending
order. This is also called as increasing order.
Example: 88,88,870 < 7,54,34,108 <
67,65,76,676 < 67,76,78,676
arrangement of numbers from the greatest to the smallest is called descending
order. This is also called as decreasing order.
Example: 67,76,78,676 > 67,65,76,676 > 7,54,34,108
Forming greatest and smallest number
from given digits.
can be formed using the given digits with or without repetition of digits.
Example: 0,1,3,5,6,7,8,and 9
8 digit number from above digits is 9,87,65,210
8 digit number from above digits is 1,02,56,789