System of Numeration
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 Numeration
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
First put the number in their respective
number is read as one hundred fifteen million four hundred eight thousand four
hundred fifty three.
Marking periods according
to International System of Numeration
periods like ones, thousands, millions and billions 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 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
Let’s differentiate periods by placing commas in between.
number is separated by comma as 457,833,228
Expanded Form and Standard Form
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
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 9,999,999 is 9,999,999 + 1 = 10,000,000
of 40,000,000 is 40,000,000 – 1 = 39,999,999
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
arrangement of numbers from the greatest to the smallest is called descending
order. This is also called as decreasing order.
Example: 677,678,676 > 676,576,676 > 75,434,108