How to Identify and Use Periods 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 Explained with Examples
1. What is a number period?
In the number system, a number period refers to a group of digits separated by commas when writing large numbers in standard form. In the Indian and International systems, numbers are grouped into periods such as ones, thousands, lakhs, millions, etc. Each period helps with reading, writing, and understanding large numbers by breaking them into manageable sections.
2. What is the period in math?
A period in math can refer to two main concepts:
- In the number system, a period means a set of digits forming a group, like hundreds, thousands, or lakhs, which are separated by commas for clarity.
- In other mathematical contexts, particularly in trigonometry and algebra, a period refers to the interval after which a repeating pattern begins again, such as the period of a sine wave, which is the length over which the function repeats.
3. How do you write the period of a number?
To write the period of a number, divide the digits of the number into groups (periods) using commas, as per the chosen number system. For example, in the International system, commas are placed every three digits from the right (ones, thousands, millions), while in the Indian system, the first comma comes after three digits and subsequent commas after every two digits (ones, thousands, lakhs, crores). This makes large numbers like $12,34,56,789$ (Indian system) or $123,456,789$ (International system) easier to read.
4. What is an example of a period in numbers?
Consider the number 87,654,321. In the International number system, this number is divided into
- Millions period: 87
- Thousands period: 654
- Ones period: 321
5. What are the different periods in the Indian and International number systems?
The Indian number system divides numbers into periods such as ones (3 digits), thousands (2 digits), lakhs (2 digits), and crores (remaining digits). For example, 5,67,89,012 reads as 'Five crore, sixty-seven lakh, eighty-nine thousand, twelve.'
The International system divides numbers into ones (3 digits), thousands (3 digits), and millions (remaining digits), such as 56,789,012 written as 'Fifty-six million, seven hundred eighty-nine thousand, twelve.'
6. How are periods useful in reading and writing large numbers?
Using periods in the number system makes it easy to read, write, and interpret large numbers.
- Clarity: Breaking numbers into periods prevents confusion.
- Accuracy: Reduces errors when interpreting or transcribing long numbers.
- Systematic reading: Allows numbers to be pronounced correctly using periods like thousands, lakhs, or millions.
7. What is the difference between periods and place values in the number system?
Periods are groups of digits (like thousands or lakhs) separated by commas in a number for easier reading, while place values refer to the value of each digit depending on its position (ones, tens, hundreds, etc.). For example, in 72,345,
- Period grouping: 72 (thousand), 345 (ones)
- Place values: 7 ten-thousands, 2 thousands, 3 hundreds, 4 tens, 5 ones
8. How do you teach periods in the number system to students?
To teach periods in the number system, educators at Vedantu:
- Present visual aids showing how digits are grouped by commas
- Use practice examples comparing Indian and International numbering systems
- Encourage hands-on practice by writing and reading large numbers aloud
- Utilize interactive worksheets and online quizzes
9. Why is understanding periods in numbers important for students?
Understanding periods in numbers is crucial because it allows students to:
- Accurately read and write large numbers
- Avoid mistakes during mathematical operations such as addition or subtraction
- Develop a deeper understanding of the number system and number sense
- Prepare for advanced concepts where number grouping becomes essential
10. What are some Vedantu resources for mastering periods in the number system?
Vedantu offers a variety of resources for mastering periods in the number system:
- Interactive live classes with expert math teachers
- Practice worksheets and quizzes aligned with different education boards
- Recorded video lessons focusing on number notation, periods, and place value systems
- Personalized doubt-solving sessions to strengthen concepts
