# Mathematics - Class 5 / Grade 5

- Indian System of Numeration
### Indian System of Numeration

Math– Class 5 - Math - Class 5 - Indian Numbering System / Indian System of Numeration - Key Points/Notes/Worksheets/Explanation/Lesson/Practice Questions Tags: Indian Numbering System for class V, Free Worksheet PDF on Indian Numbering System for 5th standard, Lesson on Indian Number System for class 5, knowing our numbers, Indian Numeration System worksheet PDF for grade V, Indian System of Numeration practice page, Indian Numerals, Indian System of Numbers, What is Indian System of Counting? Indian Place Value System, Indian Place Value Chart, How to mark periods according to Indian System of Numeration, Expanded Form and Standard Form of large number, How to form greatest and smallest number from given digits, Successor and Predecessor of large numbers, Indian Numerals. Write the number names according to the Indian System of Numeration. Write the numeral according to the Indian System of Numeration. Write in numerals in words. Write the place value and face value of the digits 3 and 4. Write in expanded form. Write in short form (standard form). Write the numeral in figures. Write the place value of underlined digits. Write in ascending order. Write in descending order. Write the greatest and smallest possible number using the given digits without repeating the digits. Complete the series. Reading of number according to Indian System of Numeration, Marking periods according to Indian System of Numeration, What is Indian Numeral System? What is period in number system? How much is 1 lakh? What are the Indian numerals? Indian number system chart, How to read large numbers in Indian Numbering System, What is Indian number system? How much is 1 million in Indian system?Indian System of Numeration

Place Value Chart according to the Indian System of Numeration.

In Indian system we start grouping the number from right in group of 3 and further in group of 2.The place value chart have been separated into groups called periods i.e. ones, thousands, lakhs and crores.

**Reading of number according to Indian System of Numeration**In Indian System of Numeration periods such as ones, thousands, lakhs, crores, etc. are used so that number can be easily read.

Let’s read the below number according to Indian System of Numeration

11, 54, 08, 453

First put the number in their respective places.

This number is read as eleven crore fifty four lakh eight thousand four hundred fifty three.

**Marking periods according to Indian System of Numeration**Different periods like ones, thousands, lakhs and crores 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 two digits of the given number. The third period (i.e. lakhs period), consist of the next two digits of the given number. The fourth period (i.e. crores period), consist of the next two digits of the given number.

Let’s differentiate periods by placing commas in between.

Example: 457833228

This number is separated by comma as 45, 78, 33, 228

**Place Value**Example: 88, 45, 11, 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: 34, 16, 97, 832

We can expand any given number in three ways:

3 ten crore + 4 crore + 1 ten lakh + 6 lakh + 9 ten thousand + 7 thousand + 8 hundred + 3 ten + 2 one

Or

3 x 10,00,00,000 + 4 x 1,00,00,000 + 1 x 10,00,000 + 6 x 1,00,000 + 9 x 10,000 + 7 x 1,000 + 8 x 100 + 3 x 10 + 2 x 1

Or

30,00,00,000 + 4,00,00,000 + 10,00,000 + 6,00,000 + 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 99,99,999 is 99,99,999 + 1 = 1,00,00,000

Predecessor of 4,00,00,000 is 4,00,00,000 – 1 = 3,99,99,999

**Ascending order**The arrangement of numbers from the smallest to the greatest is called ascending order. This is also called as increasing order.

Example: 88,88,870 < 7,54,34,108 < 67,65,76,676 < 67,76,78,676

**Descending order**The arrangement of numbers from the greatest to the smallest is called descending order. This is also called as decreasing order.

Example: 67,76,78,676 > 67,65,76,676 > 7,54,34,108 > 88,88,870

**Forming greatest and smallest number from given digits.**Numbers can be formed using the given digits with or without repetition of digits.

Example: 0,1,3,5,6,7,8,and 9

Greatest 8 digit number from above digits is 9,87,65,210

Smallest 8 digit number from above digits is 1,02,56,789

**Download to practice offline.**