International Number System

International Number System or most commonly called the international numeral system is followed and used in various countries today. When while counting of numbers was done by stones, blocks, and sticks, to make the method more smooth the numeral system was introduced. The numeral system is of two kinds - Indian Numeral System and the International Numeral System. The Indian numeral system is widely used in India among Hindus while the International numeral system is used everywhere else. Let us learn more about the international number system and solve a few examples for better understanding.

The international number system is a method of representing numbers where numbers are split into groups or periods. These groups or periods help us in reading large numbers accurately. The international number system has similar groups or periods but the difference in the placement of commas. The periods in the international numeral system are Ones, Thousands, Millions, etc. Each of these periods is divided further into groups. Look at the table below to understand the period system in the international number system.

As mention before, the international number system is divided into periods such as the ones, thousands, millions, etc. Each of these periods is further divided into groups according to the place values of a number. Here is the demarcation of the periods:

• One Period: The one period is further grouped into 3 i.e. ones, tens, and hundreds. Hence, the first 3 digits of the number come under this period.
• Thousand Period: The thousand period is further grouped into 3 i.e. thousands, ten-thousands, and hundred-thousand. Hence, the next 3 digits after the one period of any number come under this period.
• Million Period: The million period is grouped into 3 i.e. million, ten-million, and hundred-millions. Hence, the next 3 digits after the thousand period of any number come under this period.
• Billion Period: The billion period is grouped into 3 i.e. billion, ten-billion, and hundred-billion. Hence, the next 3 digits after the million period of any number come under this period.

Let us look at an image showcasing the period and the place value of the international number system.

While writing numbers in the international number system, separators (comma) are used after every period while representing a number in its standard numeral form. Whereas for reading, the digits in the same period are read together, and the name of the period (except ones) is read along with them. Let us look at an example: 18357254. This number is written as 18,357,254 and read as Eighteen million three hundred fifty-seven thousand two hundred fifty-four.

In the international number system, the placement of the separators (commas) is extremely important. These separators are done according to their place values and the periods of any number. Here is the basics rule to be followed in the international numeral system:

• The periods are not written in a plural form. For example, 456,876 is always written as four hundred fifty-six thousand eight hundred seventy-six. We do not add an 's' in thousand or hundred.
• The word 'and' is never used before tens and ones. For example, 3535 is always read as three thousand five hundred thirty-five. We do not read it as three thousand and five hundred thirty-five.
• Commas are not used when we write the number in an expanded form. For example, 3535 is always written as three thousand five hundred thirty-five. We do not write is as three thousand, five hundred, thirty-five.

The main difference between the Indian number system and the international number system is that in the Indian Number System, starting from the right, only the first period has 3 digits and all other periods have 2 digits each. However, in the International number system, all the periods contain 3 digits each. Both the numeral systems have the same name and writing style till the first 5 digits. But in the Indian system after the ten-thousand place, the digits are called Lakhs, Ten lakhs, Crores, and so on and in the International System, they are called Hundred thousands, Millions, Ten million, and so on.

The following table highlights the differences between the Indian and the International numeral system.

For example: Rewrite the number 1436915 in the International numeral system and the Indian numeral system, using commas. How will you read this number according to both systems?

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 form: 1,436,915
Number Name or Expanded Form: One million four hundred thirty-six thousand nine hundred fifteen.

The same given number, 1436915, can be written in the Indian numeral system, in the following way:

Standard Indian numeral form: 14,36,915
Number Name or Expanded Form: Fourteen lakh, thirty-six thousand, nine hundred and fifteen.

Related Topics

Mentioned below are a few topics related to the International Numeral System, take a look.

• Indian Place Value Chart
• Numbers Up To 9-Digits
• Difference Between Place Value and Face Value

What is the International Number System in Math?

In mathematics, the international number system is a representation of numbers that are divided into periods and placed according to their place values. The periods in the international numeral system are ones, thousands, millions, billions, and so on. In the international number system, commas mark as separators that are placed according to their periods so that the number could be read accurately. For example, 456456 is written as 456,456 and read as four hundred fifty-six thousand four hundred fifty-six.

What are the Basic Rules in the International Number System?

The basic rules while reading and writing a number in the international number system is:

• The periods are not written in a plural form.
• The word 'and' is never used before tens and ones.
• Commas are not used when we write the number in an expanded form.

What are the Differences Between the Indian Numeral System 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 four periods: ones, thousands, lakhs, and crores. While, in the International number system nine places are grouped into three periods: ones, thousands, and millions, followed by period billions and so on.
• In the Indian numeral system, 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 is different for both the Indian and International numeral systems, depending upon the periods.

What is the Comparison Between the Indian Numeral System and the International Number System?

The comparison between both number systems is:

• 100 thousand = 1 lakh
• 1 million = 10 lakhs
• 10 millions = 1 crore
• 100 millions = 10 crores

How Do You Write 7000000 in the International Number System?

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 form: 7,000,000
Number Name or Expanded Form: Seven Million

How Do you Write 78921092 in International Number System?

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 form: 78,921,092
Number Name or Expanded Form: Seventy-eight million nine hundred twenty-one thousand ninety-two.

How Many Zeros in 1 Billion in the International Number System?

In the international number system, 1 billion = 1,000,000. Therefore, there are 6 zeros in 1 billion.