How to Identify Periods in the Number System with Rules and Examples
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 Understanding Period in Number System in Place Value
1. What is a period in the number system?
A period in the number system is a group of digits separated by commas to make large numbers easier to read. In the Indian and International place value systems, digits are grouped into periods such as ones, thousands, lakhs, and millions.
- Each period contains a fixed number of place values.
- Commas are placed to separate these periods.
- Periods help in reading and writing large numbers correctly.
2. How many periods are there in the Indian place value system?
There are four main periods in the Indian place value system: Ones, Thousands, Lakhs, and Crores.
- Ones period: Ones, Tens, Hundreds
- Thousands period: Thousand, Ten Thousand
- Lakhs period: Lakh, Ten Lakh
- Crores period: Crore, Ten Crore
3. How many periods are there in the International place value system?
There are four main periods in the International place value system: Ones, Thousands, Millions, and Billions.
- Ones period: Ones, Tens, Hundreds
- Thousands period: Thousand, Ten Thousand, Hundred Thousand
- Millions period: Million, Ten Million, Hundred Million
- Billions period: Billion, Ten Billion, Hundred Billion
4. How do you write commas using periods in the Indian number system?
In the Indian number system, commas are placed after the first three digits from the right and then after every two digits.
- Step 1: Start from the right and mark three digits.
- Step 2: After that, mark digits in pairs of two.
5. How do you write commas using periods in the International number system?
In the International number system, commas are placed after every three digits from the right.
- Step 1: Start from the right.
- Step 2: Place a comma after every group of three digits.
6. What is the difference between periods in the Indian and International number systems?
The main difference between periods in the Indian and International number systems is the way digits are grouped.
- Indian system groups digits as 3,2,2,... from the right.
- International system groups digits as 3,3,3,... from the right.
- Indian system uses Lakhs and Crores.
- International system uses Millions and Billions.
7. Why are periods important in the number system?
Periods are important because they help in reading, writing, and understanding large numbers correctly. Without periods, large numbers can be confusing.
- They improve clarity in place value.
- They prevent reading mistakes.
- They help in writing numbers in words accurately.
8. Can you give an example of reading a number using periods?
Yes, a number is read by naming each period along with its place value. Example in the Indian system:
- Number: 7,54,321
- Read as: Seven lakh fifty-four thousand three hundred twenty-one.
- Number: 754,321
- Read as: Seven hundred fifty-four thousand three hundred twenty-one.
9. What are the place values in each period?
Each period contains specific place values that determine the value of digits in a number.
- Ones period: Ones, Tens, Hundreds
- Thousands period: Thousands and above (depending on system)
- Lakhs/Millions period: Lakh or Million and their multiples
- Crores/Billions period: Crore or Billion and their multiples
10. What are common mistakes students make while using periods in numbers?
A common mistake is placing commas incorrectly according to the wrong number system. Students often confuse Indian and International comma placements.
- Writing 45,67,890 instead of 4,567,890 in the International system.
- Forgetting that the Indian system uses grouping of 3,2,2,...
- Ignoring place values while reading numbers in words.
