Angle between two planes: A plane in geometry is a flat surface that extends in two dimensions indefinitely but has no thickness. The angle formed...
Angle between Two Planes: Definition, Angle Bisectors of a Plane, Examples
November 10, 2024Indian Number System: Indian place value chart is a writing system that was commonly used in India to represent numbers. Before the invention of numbers, individuals usually referred to objects such as stones, pebbles, sticks, rocks etc for making a count on things. When numbers were initially written, it was found necessary to adopt a standard counting system so that the complex nature of writing long numbers could be simplified. Eventually, the Indian System came into existence and people started using symbols or digits to count things. Ones, tens hundreds of thousands of lakhs, crores chart was now simplified using the Indian number system chart.
In the Indian system of numeration, we use some set of symbols for representing the values of numbers. On the basis of classifications that are followed for different place values in numbers. Hence people must know the differentiation between the number systems from other number systems. Scroll down to find out the difference between the International number system and the Indian number system.
Indian Number System Definition: The number system exists in two categories: the Indian system and the International system. The Indian System of Numeration or the Number System is known to be adopted to write numbers in India. In this method, we use 10 symbols to represent the numbers. The 10 symbols which are used in the Indian Numeral System are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Since this system is adopted in India, this is the Indian Counting System.
We use tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores to count the numbers. Based on the number of digits, we count the numbers as ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, and crores
The following table explains how we count numbers based on the place digits of value in the Indian System in Maths. The Indian Numeral System in tabular format is given below:
Periods | Places | Unit Digits | No of Digits |
Tens
| Ones | 1 | 1 |
Tens | 10 | 2 | |
Hundreds | 100 | 3 | |
Thousand | Thousand | 1000 | 4 |
Ten Thousand | 10,000 | 5 | |
Lakhs
| Lakhs | 1,00,000 | 6 |
Ten Lakhs | 10,00,000 | 7 | |
Crores
| Crores | 1,00,00,000 | 8 |
Ten Crores | 10,00,00,000 | 9 |
The units tens hundreds of thousands chart in India has been given below:
In the Indian Numeral System, we use commas to separate the numbers after every period of numbers. We use commas to divide the numbers to read or understand the numbers easily. The commas are placed post hundreds position after which they are placed after every two digits.
For example, the placement of the commas in ten crores (100000000) is: 10,00,00,000
We write numbers in words based on the different place values of digits in the number. Before writing down the numbers in words in the Indian System of arranging numbers, we will have to consider the following points:
Example: 48,78,96,876 can be written in words as Forty-eight cores seventy-eight lakhs ninety-six thousand eight hundred and seventy-six.
The following ones tens hundred thousand Indian charts will help you to know how to write the above Indian Numeration System numbers in words:
Crores
|
4 | Ten Crores |
8 | Crores | |
Lakhs
|
7 | Ten Lakhs |
8 | Lakhs | |
Thousands
|
9 |
Ten Thousands
|
6 | Thousands | |
Ones
|
8 | Hundreds |
7 | Tens | |
6 | Ones |
There is a huge difference between the Indian Number System and the International Number System. In International Number System, the place value of digits is represented as follows: ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, billion, trillion, etc. The comparison between the Indian & International Number systems has been tabulated below:
Indian Number System | Numbers | International Number System |
Hundred Crores | 100,00,00,000 | One Billion |
Ten Crores | 10,00,00,000 | Hundred Million |
Crores | 100,00,000 | Ten Million |
Ten Lakhs | 10,00,000 | One Million |
Lakhs | 100,000 | Hundred Thousand |
Ten Thousand | 10,000 | Ten Thousand |
Thousands | 1000 | Thousands |
Hundreds | 100 | Hundreds |
Tens | 10 | Tens |
Ones | 1 | Ones |
Question 1: How do you write 5 lakhs in the Indian Numbering System?
Answer: 5 Lakhs can be written as 5,00,000.
Question 2: How much is a hundred thousand?
Answer: The term ‘hundred thousand’ is used in the International numbering system. The hundred thousand is equal to 1 Lakh.
Question 3: Separate the following number using the Indian Numeration System separator: 589673654
Answer: 589673654 can be written as 58,96,73,654.
Q. What is the period in the Indian Numeration System?
Ans: In the Indian Numbering System, we separate the digits using commas based on the periods.
a) The first 3 digits from right to left are considered as one’s period.
b) The next 2 digits are known as the thousand’s period.
c) The next 2 digits after the thousand’s period is known as lakh’s period.
d) The next 2 digits after the lakh’s period are known as the crore’s period.
Q. What is the difference between the Indian & International Number Systems?
Ans: The main difference between the Indian and International number systems is the placement of commas. In the International Numeral System, the first comma is placed after the hundreds place, after which they are placed after every three digits. Whereas in the Indian System, commas are placed post hundreds position after which they are placed after every two digits.
Example: 145678965 can be written in
Indian Number System:14,56,78,965
International Number System:145,678,965.
Q. What symbols are used to represent the numbers?
Ans: In the Indian System, the following digits are used to represent the numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Q. How do you write 1 million in the Indian system?
Ans: 1 Million can be written as 10,00,000 which is nothing but ten lakhs.
Q. How do you write 1 crore 45 lakhs in Indian numbers?
Ans: 1 Crore 45 Lakhs can be written as 1,45,00,000 in the Indian system of numeration.
Q. How to read out the number: 5,46,52,731?
Ans: The number will be read out as Five crores, forty-six lakh, fifty-two thousand seven hundred and thirty-one.
Q. How will 7,63,58,271 be readout?
Ans: The number will be read out as Seven crores, sixty-three lakh, fifty-eight thousand two hundred and seventy-one.
Students can make use of the following study materials of Embibe which are available for:
NCERT Solutions | NCERT Books |
Class 8 Mock Test Series | Class 8 Practice Questions |
Class 9 Mock Test Series | Class 9 Practice Questions |
Class 10 Mock Test Series | Class 10 Practice Questions |
JEE Main Mock Tests (Class 11-12 PCM) | JEE Main Practice Questions (Class 11-12 PCM) |
NEET Mock Tests (Class 11-12 PCB) | NEET Practice Questions (Class 11-12 PCB) |