International Numbering System – Definition, Examples | How to Write Numbers in International Number System?

Numbers were invented for the purpose of counting. The number system is defined as a writing system to express the number in a consistent manner. The place values of digits express in the sequence of ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and so on in the international number system. Students can also know more about the international numbering system with example questions in the following sections.

International Numbering System Definition

The international numbering system is followed by most of the countries in the world. In this system, a number is split into groups or periods. In the international number system, we use ones (1), tens (10), hundreds (100), thousands (1000), ten thousands (10,000), hundred thousand’s (100,000), one millions (1,000,000), ten millions (10,000,000), hundreds millions (100,000,000), etc. We place the numbers according to their place value. We place a comma after each period to differentiate the periods.

How to Express Numbers in International System?

Based on the number of digits in the number, it is divided into periods.

  • The first period is known as one’s period, formed with the first 3 digits of the number.
  • The second period is called the thousands period, formed with the next 3 digits of the number.
  • The third period is called the millions period, formed with the digits after thousands.

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International Numbering System Examples

Question 1:

Write the following figures in the international system.

(i) Six hundred thousand

(ii) Fifty million

(iii) Six hundred million

Solution:

To represent the given figures in the international numbering system, we must identify the period.

(i) The given figure is six hundred thousand

The hundred thousand means 100,000

six hundred thousand is 600,000.

(ii) The given figure is fifty million

Million means the third period formed after three digits of the thousands period. One million is 1,000,000

So, fifty million means 50,000,000.

(iii) The given figure is six hundred million

Million means the third period formed after three digits of the thousands period. One million is 1,000,000 and one hundred million is 100,000,000.

So, five hundred million is 500,000,000.

Question 2:

Write the following in figures in the International system:

(i) Six thousand, five hundred and twenty-two.

(ii) Three hundred and twenty-five thousand, four hundred and two

(iii) Three hundred and fifteen million, one hundred and twenty-one thousand, eight hundred and ten

Solution:

To express these word figures into the international numbering system, we need to have a clear idea of the periods.

(i) The given figure is six thousand, five hundred and twenty-two

six thousand means 6,000

five hundred means 500

twenty means 20

two means 2.

So, six thousand, five hundred and twenty-two is 6,522.

(ii) The given figure is Three hundred and twenty-five thousand, four hundred and two

Three hundred and twenty-five thousand means 325,000

four hundred means 400

two means 2

So, Three hundred and twenty-five thousand, four hundred and two is 325,402.

(iii) The given figure is Three hundred and fifteen million, one hundred and twenty-one thousand, eight hundred and ten

Three hundred and fifteen million is 315,000,000

one hundred and twenty-one thousand means 125,000

eight hundred means 800

ten means 10

So, Three hundred and fifteen million, one hundred and twenty-one thousand, eight hundred and ten is 315,125,810.

Question 3:

Write the following figures in the international system.

(i) Five million six hundred and twenty-five thousand seven hundred

(ii) One hundred ninety-six thousand eight hundred sixty-seven

(iii) Four hundred and ten thousand one hundred and six

Solution:

To express these word figures into the international numbering system, we need to have a clear idea of the periods.

(i) The given figure is Five million six hundred and twenty-five thousand seven hundred

Five million six hundred means 560,000,000

twenty-five thousand means 25,000

seven hundred means 700.

So, Five million six hundred and twenty-five thousand seven hundred is 560,025,700.

(ii) The given figure is One hundred ninety-six thousand eight hundred sixty-seven

One hundred ninety-six thousand means 196,000

eight hundred sixty-seven means 867.

So, One hundred ninety-six thousand eight hundred sixty-seven is 196,867.

(iii) The given figure is Four hundred and ten thousand one hundred and six

Four hundred and ten thousand means 410,000

one hundred and six means 106

So, Four hundred and ten thousand one hundred and six is 410,106.

Question 4:

(i) 25,896

(ii) 185,200,604

(iii) 568,952

Solution:

Write the following figures in the international system.

(i) The given figure is 25,896

25,000 is twenty-five thousand.

896 is eight hundred and ninety-six.

So, 25,896 is twenty-five thousand eight hundred and ninety-six

(ii) The given figure is 185,200,604

185,000,000 is one hundred and eighty-five million

200,000 is two hundred thousand

604 is six hundred and four.

So, 185,200,604 is eighty-five million and two hundred thousand six hundred and four..

(iii) The given figure is 568,952

568,000 is five hundred and sixty-eight thousand

952 is nine hundred fifty-two.

So, 568,952 is five hundred and sixty-eight thousand nine hundred and fifty-two.

FAQs on International Numbering System

1. Compare Indian and International Number System?

The major difference between the Indian and international number systems is the placement of the separators and nomenclature of different place values. In the international system, nine places are grouped into three periods ones, thousands, and millions.

In the Indian system, nine places are grouped into four periods. The place values of the Indian system are ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores. The international system place values are ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and hundred million.

2. How do you write 6 digit numbers in the international system?

The 1st digit is ones, 2nd is tens, 3rd is hundreds, fourth is thousand, the fifth digit is ten thousand and six-digit is hundred thousand. The six digits have 2 periods.

3. How many periods are there in an international number system?

The international number system has 3 periods. They are ones, thousands, and millions. One period has ones, tens, and hundreds.

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