International System of Numeration
Place Value Chart according to the International System of Numeration.
In
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
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
Example: 115,408,453
First 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.
Example: 457833228
This number is separated by comma as 457,833,228
Place Value
Example: 884,511,009
Expanded Form and Standard Form
When each digit of a given number is written with its place value, we get the expanded form of the number.
Example: 341,697,832
We can expand any given number in three ways:
3 hundred million + 4 ten million + 1 million + 6 hundred thousand + 9 ten thousand + 7 thousand + 8 hundred + 3 ten + 2 one
Or
3 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
Or
300,000,000 + 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.
Example:
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
Ascending order
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
Descending order
The 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 > 8,888,870