International System of Numeration
Place Value Chart according to the International
System of Numeration.
International system we start grouping
the number from right in group of 3, called period and we put comma or space
after each period to make the number easily readable.
Reading of number according to International System of
In International System of Numeration periods such as ones,
thousands, millions, billions etc. are used so that number can be easily read.
Let’s read the below number according to International
System of Numeration
put the number in their respective places.
This number is read as one hundred fifteen million four
hundred eight thousand four hundred fifty three.
Marking periods according to International System of Numeration
Different periods like ones, thousands, millions and billions
are separated by comma (,) starting from the right to differentiate the periods.
We 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 three digits of the given number. The third
period (i.e. millions period), consist of the next three digits of the given
number. The fourth period (i.e. billions period), consist of the next three
digits of the given number.
Let’s differentiate periods by placing
commas in between.
number is separated by comma as 457,833,228
Expanded Form and
each digit of a given number is written with its place value, we get the
expanded form of the number.
can expand any given number in three ways:
hundred million + 4 ten million + 1 million + 6 hundred thousand + 9 ten
thousand + 7 thousand + 8 hundred + 3 ten + 2 one
x 100,000,000 + 4 x 10,000,000 + 1 x 1,000,000 + 6 x 100,000 + 9 x 10,000 + 7 x
1,000 + 8 x 100 + 3 x 10 + 2 x 1
+ 40,000,000 + 1,000,000 + 600,000 + 90,000 + 7,000 + 800 + 30 + 2
Successor and Predecessor
To 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.
Successor of 9,999,999 is 9,999,999 + 1 = 10,000,000
Predecessor of 40,000,000 is 40,000,000 – 1 = 39,999,999
The arrangement of numbers from the smallest to the
greatest is called ascending order. This is also called as increasing order.
Example: 8,888,870 <
75,434,108 < 676,576,676 < 677,678,676
The arrangement of numbers from the greatest to the
smallest is called descending order. This is also called as decreasing
Example: 677,678,676 >
676,576,676 > 75,434,108 > 8,888,870