## An Overview of Period in Number System

Expressing the numbers sequentially is very important to avoid confusion and error. And to avoid confusion and error, "Period in Number System" is used. It not only helps to express the number in standard numeral form, but it also helps to represent the number in a small symbol set. So we can say that the period in the number system makes Maths a little bit easier for us to understand. So, in this article, we will talk about the period in the number system, the difference between Indian and international number systems, and many more interesting things related to the period in the number system.

## What is a Number?

They are part of our everyday life. We use them in counting, measuring, ordering things, and many other ways. They are the basic components of Mathematics. We are talking about how a large number can be read and written easily by putting commas (,) in large numbers.

## Placement of Comma

We use commas in large numbers to easily read and write the number. Whether it's an Indian number system or an International number system, the commas are placed in different positions to know the place of the numbers.

**Kid showing number with the placement of a comma**

## What is the Period in the Number System?

It's a way of representing the number systematically. It represents the number in the set, and it helps to make a small set of numbers so we can read and write it without getting confused.

We use commas (,) to the number to show the period in the number system. Every digit of the number gets represented because of the period in the number system. And they also get their place value and face value also only because of the period used in the number system.

For example, 2,65,73,42,189 in the Indian Place Value Chart.

2,657,342,189 in the International Place Value Chart.

## Importance of Period in the Number system

It helps to read the number quickly.

It helps us to determine the place value of various digits easily.

It helps to avoid errors while writing long numbers or doing a long calculation of numbers.

It prevents confusion of digits while making the comparison of two long numbers.

## What is Period in the Indian Number System?

When we talk about periods in the Indian Number System then in this 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.

Nine places are grouped into four periods: ones, thousands, lakhs, and crores.

Place Values: Ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores.

For example, notice the commas in the following number: 2,45,53,62,886

## What is Period in the International Number System?

In this 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. Nine places are grouped into three periods: ones, thousands, and millions.

Place Values: Ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and hundred million.

For example, notice the commas in the following number: 2,455,362,886.

**International Number System**

## Number Names

To write the number in words, we call it a number name. And after correctly writing the number by putting commas in the correct place and giving them an accurate period, it will become very easy to write the number name.

Example: Write the number name for 75,395 according to the period in the Indian Number System.

Ans: According to the period in the Indian number system, 75,395 is read and can be written in words as seventy-five thousand three hundred and ninety five.

## Solved Example

1. State true or false as per the Indian place value system.

In the Indian place value chart, nine places are grouped into four periods: Ones, Thousands, Lakhs, and Crores.

Ans: True, in the Indian place value chart, nine places are grouped into four periods: Ones, Thousands, Lakhs, and Crores.

As per the Indian place value system, the commas in the number 75315680 are placed as 75,315,680.

Ans: False, as per the Indian place value system, the commas in the number 75315680 are placed as 7,53,15,680.

2. Write the expanded form in the international number system. One hundred twenty-two million one hundred twenty-two thousand one hundred forty-three.

Ans: The expanded form of one hundred twenty-two million one hundred twenty-two thousand one hundred forty-three can be written as 122,122,143.

3. How will the numbers 2,34,32,829 be read out according to the Indian numeral system?

Ans: The number 2,34,32,829 will be read as 'Two crores, thirty-four lakh, thirty-two thousand eight hundred twenty nine.

## Practice Questions

1. Write the number name for 56,67,789.

Ans: Fifty six lakhs sixty seven thousand seven hundred and eighty nine.

2. Which period comes after the lakh period?

Ans: Crore period comes after the lakh period.

3. Put the comma according to the Indian system and give the correct period to the number.

567895

78956489

369369125

Ans:

5,67,895

7,89,56,489

36,93,69,125

## Summary

In this article, we learned about the period in the number system, how important it is, and how it solves our problem of reading and writing numbers. In the Indian numeral system, nine places are grouped into four periods: ones, thousands, lakhs, and crores. Whereas for the international number system, nine places are grouped into three periods: ones, thousands, and millions. In the end, we added some solved examples and practice problems to understand the topic better.

## FAQs on Period in Number System

1. What do you understand by Place Value?

Ans: The place value is the value of each digit in a number based on its position. We get to know the correct place values of digits with the help of place value charts. In the Indian place value chart, the place value of digits is determined as ones, tens, hundreds, thousands, ten-thousands, and so on. For example, the place value of 3 in 3002 is 3 × 1000 = 3000.

2. What are the basic rules in the International Number System?

Ans: The basic rules while reading and writing a number in the international number system are listed below:

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.

3. What are the 4 types of number systems?

Ans: The four most common number system types are:

Decimal number system (Base - 10)

Binary number system (Base - 2)

Octal number system (Base - 8)

Hexadecimal number system (Base - 16)