Page 6 - Maths Class 06

Arabs Crores Lakhs Thousands Ones
Ten Arabs Ten Crores Ten Lakhs Ten Thousands Hundreds Tens Ones
Arabs Crores Lakhs Thousands
0 0
0 0
0 0 0 0
, s 0 s 0 0 0
0 t , 0 t 0 , s t 0 s t 0 s t 0 s t 0 s t s t s t s t t
0 i g i g 0 i , i 0 i i 0 i 0 i i i i g
, i 0 i g 0 g , g 0 g g 0 g 0 g 0 g i
0 D , 0 D 0 , i 0 i 0 i , 0 i 0 , i 0 i 0 i 1 i 1 D
0 0 D , D 0 D D 0 D , D 1 D D
, 1 0 0 0 , 0 1
0 , 0 9 0 8 0 7 , 6 1 5 4 3 2 1
0 1 0 1 , 0 , 1 1
, 0 1
0 , 1 1
1
10 10 10 9 10 8 10 7 10 6 10 5 10 4 10 3 10 2 10 1 1
International System of Numeration
In this system, the place value of a digit in a number remains the same as in Indian System but the name
of the periods are different beyond thousands. In a numeral, going from right to left, the value of each
place is ten times the value of the place to its right as shown:

Billions Millions Thousands Ones

s s
n n s
o s o s d
i i n s n s s
l n l l s d d d
l o s i o a d
i i n e n s n
B i l n M l l o r a u a e r s s
l i o i i d s s n e
d B i l d M l n u o u d e n
e l e l i h n T O
r n i B r M u o T o u
d e d n H h h H
n T n e T n T
u u T e
H H T
0 0
0 0
0 0 0 0 0
, s 0 s 0 s 0 0
0 t , 0 t , t 0 s 0 s 0 s 0 s 0 s s s s t
0 i g 0 i g 0 i g , t i 0 , t i 0 t i 0 t i 0 t i 0 t i t i t i i
0 i i 0 i 0 g 0 g , g 0 g g 0 g 0 g 0 g g
, 0 0 0 i i 0 i , i 0 i 0 i 0 i i 1 i
0 D , D , D 0 D 0 D 0 D 0 D , D , D 1 D 1 D D
0 2 0 0 1 0 0 , 0 , 0 0 0 1 1 1
0 1 1 0 1 0 9 0 8 , 7 1 6 5 4 3 2
, 0 0 0 1
0 , 0 , 1 1
0 1
1 1
10 11 10 10 10 9 10 8 10 7 10 6 10 5 10 4 10 3 10 2 10 1 1
On comparing the Indian and International system, we find:
Indian System International System NOTE
1 Lakh = 100 Thousands = 100,000 In the Indian system of numeration, starting

from the right, the first period is the ones period
10 Lakhs = 1 Million = 1,000,000
consisting of three place values–ones, tens, and
hundreds. The other periods to the left of the
1 Crore = 10 Millions = 10,000,000
ones period have two place values each.
10 Crores = 100 Millions = 100,000,000 In the International system of numeration, all
the periods have three place values each.
1 Arab = 1 Billion = 1,000,000,000

Mathematics-6 6