The Indian numeral system is a writing system adapted in India for expressing numbers. It is a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. This numeral system comprises a set of numerals formed by 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Long before numbers were invented, a unique mark was made on each item being counted. This was a complex system for writing large numbers. It was realized that there was a need to adopt a standard system of counting. This is how the numeral system came into existence. Different numeral systems were used across different countries and periods. The system adopted in India came to be known as the Indian numeral system or the Indian number system.
| 1. | What is the Indian Number System? |
| 2. | Number Names in the Indian Number System |
| 3. | Difference between Indian and International Number System |
| 4. | FAQs on the Indian Numeral System |
What is the Indian Number System?
The Indian numeral system contains numerals that are used to represent numbers. This system can be distinguished from the other numeral systems based on the nomenclature followed for different place values. When we use the Indian numeral system, we count with ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, and crores.
The following table depicts the different periods and the place values according to the number of digits in a number.
Use of Separators
According to the Indian numeral system, separators (comma) are used after every period while representing a number in its standard numeral form. For example, the number 384756182 can be better represented as 38,47,56,182 in the standard Indian numeral system using separators after every period. It should be noted that in the Indian numeral system, the periods are divided according to the rule of 3:2:2. This means that starting from the right, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. For example, notice the commas in the following number: 6,95,42,189.
Number Names in the Indian Number System
The number names in the Indian numeral system depend upon the nomenclature for different place values of digits in the number. While writing number names of the numerals in the Indian system, we should consider the following points:
- According to the Indian numeral system, separators (commas) are marked to distinguish different periods. Therefore, while writing the number names, these periods can be used to read the different place values in the number.
- In the Indian numeral system, the periods are divided according to the rule of 3:2:2 as discussed above and then the number name can be easily written.
- The periods in the Indian number system are expressed as, ones, thousands, lakhs and crores.
- So, we start writing the name of the period after each number in the period and we skip the period which has zeros at all places.
Let us take an example of writing a number name according to the Indian number system.
Example: Using the rules of the Indian number system, place the commas correctly in the given number and write the number name for 384756182.
Solution:
The following figure shows how to write the number name for 38,47,56,182, with the help of the Indian place value chart. We read the number according to the place values of all the digits given here.
According to the Indian numeral system, 384756182 is written as 38,47,56,182 after placing the commas. Then, its number name is written as thirty-eight crore, forty-seven lakh, fifty-six thousand, one hundred eighty-two.
Difference between Indian and International Number System
The main difference between the Indian and International numeration systems is the placement of the separators (commas) and the nomenclature of different place values. The International numeral system is used worldwide. When we count in terms of ones, hundreds, thousands, ten thousand, hundred thousand, millions, and billions, we are referring to the International numeral system. The following table depicts different places and periods according to the number of digits in a number.
The following table highlights the differences between the Indian and the International numeral system.
| Indian Numeral System | International Numeral System |
|---|---|
| Nine places are grouped into four periods: ones, thousands, lakhs, and crores. | Nine places are grouped into three periods: ones, thousands, and millions. |
| Place Values: ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores. | Place Values: Ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and hundred million. |
| Lakhs and crores are used in the Indian Numeral System. | Millions and billions are used in the International Numeral System. |
Let us place the commas and write the number name of a large number according to the Indian number system and as per the International number system.
Example: Rewrite the number 1347823 in the International numeral system and the Indian numeral system, using commas. Write the number name of the given number as per the Indian numeral system and as per the International numeral system.
Solution:
In the International numeral system, we begin from the right side and insert commas after every three digits. We divide the number into periods and read the period separately.
Standard International numeral system: 1,347,823
Number Name: One million, three hundred forty-seven thousand, eight hundred twenty-three.
The same given number, 1347823, can be written in the Indian numeral system, in the following way:
Standard Indian numeral system: 13,47,823
Number Name: Thirteen lakh, Forty-seven thousand, eight hundred twenty-three.
☛ Related Topics
- Numbers Up to 4-digits
- Numbers Up to 6-digits
- Numbers Up to 7-digits
- Numbers Up to 10 digits
- Indian Place Value Chart
- Numbers
- Number Systems
FAQs on Indian Numeral System
What is the Indian Number System in Math?
The Indian numeral system is a writing system adapted in India for expressing numbers. It is a mathematical notation for representing numbers of a given set, using digits in a consistent manner. In the Indian number system, the place values of digits are read in the order of Ones, Tens, Hundreds, and so on, based on the nomenclature of the different periods.
What is the Difference Between the Indian and the International Numeral System?
The differences between the Indian and the International numeral system are given as follows:
- In the Indian numeral system, nine places are grouped into three periods: ones, thousands, lakhs, and crores. While, in the International number system nine places are grouped into the following periods: ones, thousands, and millions.
- In the Indian numeral system, the place values are marked as ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores. While, in the International numeral system, place values are marked as ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and hundred million, and so on.
- The use of separators (commas) is different for both the Indian and International numeral systems, depending upon the periods. For example, in the Indian number system, the periods are divided according to the rule of 3:2:2. This means starting from the right, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. Whereas, in the International number system, the periods are divided according to the rule of 3: 3: 3. This means starting from the right, the first comma is placed after 3 digits, then the next commas are also placed after every 3 digits.
How are Numerals Written in the Indian System?
The numbers in the Indian numeral system are separated by commas (separators) after every period, as defined by this system. Starting from the right end, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. For example, the number 781700182 is written as 78,17,00,182.
How to Write Number Names in the Indian Numeral System?
When numbers are expressed in the form of words, the representation is termed as its number name. In the Indian numeral system, the number names depend on the different place values of digits in the number. While writing number names, we should know the place value of each digit according to the Indian place value system. The separators (commas) help us to read the place values of the numbers as we start writing them from left to right. So, we start writing the name of the period after each number in the period and we skip the period which has zeros at all places. For example, the number name for 41,27,56,082 is written as forty-one crore, twenty-seven lakh, fifty-six thousand, eighty-two.
What Comes after 10 crores in the Indian System?
The place value that comes after 10 crores is 100 crores or 1 Arab.
How to put Commas in the Indian Numeral System?
In the Indian numeral system, the periods are divided according to the rule of 3:2:2. This means starting from the right, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. For example, let us observe the commas in the following number: 8,24,76,217. The number name for this number is written as, eight crores, twenty-four lakh, seventy-six thousand, two hundred seventeen.
FAQs
Indian Numeral System | Indian Number System - Chart, Examples? ›
The numbers in the Indian numeral system are separated by commas (separators) after every period, as defined by this system. Starting from the right end, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. For example, the number 781700182 is written as 78,17,00,182.
What is an example of the Indian number system? ›The numbers in the Indian numeral system are separated by commas (separators) after every period, as defined by this system. Starting from the right end, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. For example, the number 781700182 is written as 78,17,00,182.
How do you write in the Indian number system? ›In the Indian system of numeration, numbers are written using a set of 10 symbols—1, 2, 3, 4, 5, 6, 7, 8, 9, 0. Each digit of a number gets its value in this system depending on its place in the place value chart.
How do you write 48670002 in Indian system? ›\[ \Rightarrow \]Number name of 48670002 is: Four crore eighty six lakh seventy thousand and two.
How do you write 78921092 in Indian system? ›So, 78921092 = 78 , 921 , 092 = Seventy eight million nine hundred twenty one thousand ninety two.
How do you write 900749 in Indian system? ›Nine hundred thousand, seven hundred and forty-nine.
As per the Indian system, the first comma is placed after the hundreds place.
| Number of Digits | Nomenclature |
|---|---|
| 6 | Lakhs |
| 7 | Ten Lakhs |
| 8 | Crores |
| 9 | Ten Crores |
The placement of commas is the fundamental distinction between the Indian and International number systems (separator). In the Indian system, lakhs are written after thousands, but millions are written after thousands in the international system. 199,812,341 in Indian system is 19,98,12,341.
How many digits is an Indian number? ›All mobile phone numbers are 10 digits long. The way to split the numbers is defined in the National Numbering Plan as XXXXX-NNNNN. Here, XXXXX identifies the network operator and the telecom circle while NNNNN identifies the subscriber.
What is the comma in Indian numbers? ›As per the Indian System of Numeration, commas are used based on ones, tens, hundreds, thousands and then lakhs and crores. For example, one lakh is represented as 1,00,000.
How do you write 87595762 in Indian system? ›
(a)87595762: 8,75,95,762 using place value charts the number can be spelled as Eight crore seventy-five lakh ninety-five thousand seven hundred sixty-two.
What does an Indian number start with? ›The country code for India is quite simply, +91. These are the first numbers you will enter.
How do you write 12442373 in Indian system? ›12,442,373 - Twelve Million Four Hundred Forty Two Thousand Three Hundred Seventy Three.
How do you write 8546283 in Indian system? ›So, 8546283 = 85 , 46 , 283 = Eighty five lakh forty six thousand two hundred eighty three.
What is the number name of 782678926 in Indian system of numeration? ›Number name of 63728729 in Indian system of numeration is six crore thirty-seven lakh twenty-eight thousand seven hundred twenty-nine. Number name of 782678926 in International system of numeration is seven hundred eighty-two million six hundred seventy-eight thousand nine hundred twenty-six.
How do you write 99985102 in Indian system? ›According to the International system of numeration, 99985102 can be represented as 99,985,102 and can be written as: Ninety nine million nine hundred eighty five thousand one hundred and two.
What is 7452283 in indian number system? ›So, 7452283 = 7 , 452 , 283 = Seven million four hundred fifty two thousand two hundred eighty three.
How do you write 48049831 in words? ›48049831 is written as 48 , 049 , 831 - Forty eight million forty nine thousand eight hundred thirty one.
What is 4875326 in Indian system? ›Answer: A) 4875326 in indian system is forty eight lakh seventy five thousand three hundred twenty six.
How do you write 180018018 in Indian system? ›(i) 506723 (ii) 180018018 Solution:- Indian. system (i) 506723 = 5,06,723 Five lakh six thousand seven hundred and twenty three. (ii) 180018018 = 18,00,18,018 Eighteen crore eighteen thousand and eighteen.
How to write 89643092 in Indian system? ›
In Indian system-:8,96,43,092Eight million ninety six lakhs fourty three thousand and ninety two.In International System-:89,643,092Eighty nine lakhs six hundred forty three thousand ninety two.
What is a 8 digit number called in Indian number system? ›Smallest 8 Digit Number
This is called 1 crore in the Indian system and 10 million in the international system. The difference lies in how the commas are placed in the numbers.
A 7 digit number starts with ten lakhs place in the Indian system. Was this answer helpful?
Why is 7 a special number in India? ›Number seven (7) is a very sacred and spiritual number in Hinduism. Number 7 is known as Sapta in Sanskrit and is a symbolic representation of various divine concepts and philosophies of Hindu Sanatana dharma and Sanskruthi.
How do you write 9999999999 in words in Indian system? ›In the Indian number system, we read it as ninety-nine crores, ninety-nine lakhs, ninety-nine thousand, nine hundred and ninety-nine. In the International number system, it is read as nine hundred ninety-nine million, nine hundred and ninety-nine thousand, nine hundred and ninety-nine (999,999,999).
How to write 38040801 in Indian system? ›Answer: 3,80,40,801 :- Three crore eighty lakh forty thousand eight hundred and one.
How do you write 123115027 in Indian system? ›Expert-Verified Answer
123115027 - One hundred and twenty three million one hundred and fifteen thousand twenty seven.
A mobile number written as +91-AAAAA BBBBB is valid throughout India, and in other countries where the + is recognized as a prefix to the country code.
What is 8795762 in Indian system? ›8,75,95,762 = Eight crore seventy five lakhs ninety five thousand seven hundred sixty two.
What is the number 50801592 in the Indian system? ›For example, the number 50,801,592 is read in the International System as fifty million eight hundred one thousand five hundred ninety-two. In the Indian System, it is five crores eight lakh one thousand five hundred ninety-two.
Does India use comma instead of decimal? ›
In India, due to a numeral system using lakhs (lacs) (1,23,456 equal to 123,456) and crores (1,23,45,678 equal to 12,345,678), a comma is used at levels of thousand, lakh, and crore. For example, 10 million (1 crore) would be written as 1,00,00,000.
What is 72705062 in Indian system? ›On the contrary, for the International system of numeration, commas are used to mark thousands and millions. Example: 72705062 can be written as 7,27,05,062 in the Indian system whereas it is written as 72,705,062 in the international system.
What is the 3 digit code for Canada? ›For calling a NANP country, the primary method is as follows: 1 + Area code (3 digits) + TEL # (7 digits), where: 1 – The ISD Code/Country Code of Canada. 3 Digit Area Code – To call Canada from the US, you need to know the area codes for the desired number.
Can an Indian number start from 1? ›The telephone numbers with digits starting from 1 are usually associated with government services. The government services include police, fire services, ambulance, etc. Due to this reason, personal numbers in India can not start with 1.
How do I call India from Canada? ›- In the app, first dial the exit code (011).
- Then dial the country code for India (91).
- Now dial the area code (2-4 digits) if you're calling a landline. If you're calling a mobile, skip this step.
- Dial the number you wish to reach.
- Press call and start talking!
Answer: Twelve million three hundred forty-five thousand six hundred seventy-eight . hope it helps you please mark me as brainliest have a wonderful day!!
What is the number 97256775613 in Indian system? ›Answer. Answer: ninety seven billion two hundred fifty six million seven hundred seventy five thousand six hundred thirteen.
What is 80956124 in Indian system? ›Ans: The numeration for 80956124 in Indian system is, 8,09,56,124 . Eight crore nine lakh fifty-six thousand one hundred twenty-four.
How do you write 806007 in Indian system? ›8,06,007 - Eight lakh six thousand and seven. Hope this helped!!
How does 100000 is written in Indian system of numeration? ›The terms lakh or 1,00,000 (one hundred thousand, written as 100,000 outside the Indian subcontinent) and crore or 1,00,00,000 (ten million written as 10,000,000 outside the subcontinent) are the most commonly used terms in Indian English to express large numbers in the system.
What is 8 75 95762? ›
(a) 8, 75,95,762 = Eight crore seventy five lakh ninety five thousand seven hundred sixty two.
How is the number 58695376 written in Indian system of numeration *? ›We will start from the right and proceed towards the left in the above format. We can write the name in numeral according to the above: Five crore, eighty six lakh, ninety five thousand, three hundred and seventy six. Hence this is the $5,86,95,376$ required answer. So, the correct answer is “5,86,95,376”.
What is 1380004385 in words in Indian system? ›13,80,04,385 can be written as "Thirteen crore, eighty lakh, four thousand, three hundred eighty-five." So, the number name in the Indian system is "Thirteen crore, eighty lakh, four thousand, three hundred eighty-five," and in the International system, it is "One billion, three hundred eighty million, four thousand, ...
What is 60060 in Indian system of numeration? ›It is written as six crore sixty lakh sixty thousand and sixty. Was this answer helpful?
Which Indian system number is 9 digit? ›The smallest 9 digit number in the Indian system is called ten crores, which is 1, followed by 8 zeros and is written as 10,00,00,000. The same number in the International system is called a hundred million and is written as 100,000,000.
What is Indian number system 8546283? ›So, 8546283 = 85 , 46 , 283 = Eighty five lakh forty six thousand two hundred eighty three.
Do Indian numbers start with 7? ›In India, mobile numbers (including pagers) on GSM, WCDMA, LTE and NR networks start with either 9, 8, 7 or 6.
Which place does an 8 digit number start with in Indian system? ›Expert-Verified Answer
The number placing of Indian system is given as follows. 8 = crore's place. Therefore, the 8 digit number starts with the crore's place in the Indian system.
(d)98432701: 9,84,32,701 using place value chart, the number can be spelled as Nine crore eighty-four lakh thirty-two thousand seven hundred one.
What is 7452283 in Indian number system? ›So, 7452283 = 7 , 452 , 283 = Seven million four hundred fifty two thousand two hundred eighty three.
What are digits in Indian number? ›
The area code is the first one to three digits in the 9-11-digit Indian phone number as mentioned above (the remaining eight digits constitute the local phone number).
What are 5 digit numbers in Indian system? ›The greatest 5 digit number is 99,999. The successor of 99,999 is 1,00,000 which is read as one lakh as per the Indian place value chart and is read as a hundred thousand (100,000) as per in International place value chart.
How do you write 42007 in Indian system of numeration? ›(i) 42,007 is written as forty-two thousand seven in the Indian system of numeration. (ii) 4,05,045 is written as four lakh five thousand forty-five in the Indian system of numeration.