## Topic outline

• ### International System of Numeration

• 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

• • • 