Indian Number System

Indian Numeral System

Indian Number System The Indian place value chart is a writing system used to represent numerals in India. Prior to the development of numbers, people typically used objects such as stones, pebbles, sticks, and rocks to count things. When numbers were first written, it was vital to create a uniform counting method in order to simplify the difficult nature of writing lengthy numbers. Eventually, the Indian System was developed and people began counting using symbols or digits. The chart for ones, tens hundreds of thousands of lakhs, and billions was been simplified using the chart for the Indian numeral system.

In the Indian system of numeration, the values of numbers are represented by a set of symbols. Based on the classifications that are applied to the various place values in numbers. Therefore, individuals must understand the distinction between number systems and other number systems. Find out the distinction between the International number system and the Indian number system by scrolling down.

What is the Indian Number System?

The Indian number system is comprised of numerals used to represent numbers. Based on the nomenclature employed for distinct place values, this system can be recognized from other numerical systems. We utilize ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, and crores in the Indian numeral system.

The following table illustrates the various periods and place values based on the number of digits in a given integer.

Usage of Commas

Separators (commas) are needed after every period when representing a number in its conventional numeral form according to the Indian number system. Using separators after each period, the number 384756182 can be better expressed in the traditional Indian numeral system as 38,47,56,182. It should be noted that the periods in the Indian numeral system are divided according to the rule 3:2:2. This indicates that beginning from the right, the first comma should be placed after three digits, and further commas should be placed after every two digits. For instance, observe the commas in the number 6,95,42,189.

Number Names in the Indian Number System

The number names in the Indian number system are determined by the nomenclature for the various place values of the number’s digits. When writing the number names of the Indian numerals, the following factors must be considered:

• According to the Indian number system, commas are used to differentiate between periods. Therefore, these periods can be utilized to read the different place values in a number while writing the number names.
• In the Indian number system, the periods are separated according to the rule of 3:2:2, and the number name can therefore be written without difficulty.

• The Indian number system expresses its periods as ones, thousands, lakhs, and crores.

Therefore, we begin putting the name of the period after each number in the period and we exclude the period that contains all zeros.

Let’s look at an example of how to write a numeric name using the Indian number system.

Example: Using the rules of the Indian number system, correctly position the commas in the given number and write its name.

Solution:

Using the Indian place value chart, the following diagram illustrates how to write the numeral 38,47,56,182 as its name. We interpret the number based on the specified place values of each digit.

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.

Indian Place Value Chart

According to the Indian number system, the Indian place value chart is a table used to determine the value of each digit in a number based on its position. In this chart of place value, a 10-digit number is organized into periods of ones, thousands, lakhs, and so on. These numbers are separated by commas in accordance with the 3:2:2 norm. This indicates that, beginning from the right, the first comma should be placed after three digits, and further commas should be placed after every two digits. Observe the commas in the following number, for example: 5,43,13,62,283

Observe the following Indian place value chart, which displays the place value of digits up to ten billions.

How to Write Indian Place Value System

We write numbers in words according to the different place values of the digits. Before putting the numbers in words according to the Indian System of number arrangement, we must consider the following:

• First, we must indicate the separators or commas used to label the integers.
• Only the commas allow us to name numbers in India’s numbering system.

Example: 48,78,96,876 may be written as Forty-eight cores seventy-eight lakhs ninety-six thousand and seven hundred and six.

The accompanying tens of thousands of Indian charts will assist you in writing the aforementioned Indian Numeration System numbers in English.

Difference between the Indian and International Number System

The main difference between the Indian and International number systems is where the commas are put and what the different place values are called. The international system of numbers is used everywhere. The International number system is what we use when we talk about ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, and billions. Based on how many digits are in a number, the next table shows different places and times.

The differences between the Indian number system and the International number system are shown in the table below. 

Indian Number System	International Number 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.

Solved Examples of the Indian Number System

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.

Question 4 : 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.

FAQs on Indian and International Number System