This is a comprehensive lesson plan for indian and international number system to grade 4 students.The lesson is designed to make the concepts easy and engage students with activities like quizzes, practice questions, worksheets, visual aids like images, and real-life examples.
Teachers can use this guide as a reference for delivering the concepts to students and engaging them in the classroom with the various questions and examples given in this page.
For parents, there are 12 downloadable practice worksheets that they can use for their kids.
In this learning concept, the students will also learn to
Indian System of Numeration
International System of Numeration.
Key Differences Between the Two Systems
Numbers are all around us! From counting items to measuring distances or handling money, they are a big part of our daily lives. But did you know that different countries use different ways to group numbers?
The Indian System of Numeration and the International System of Numeration make it easier to read and write big numbers. Let's see how they work!
The Indian System of Numeration is used in India and some South Asian countries. It groups numbers differently from the International System.
In this system, we start with ones, tens, and hundreds, and then move to bigger places like thousands, lakhs, and crores. Numbers are divided into periods, and each period has three digits (except the first one).
Here’s how the place value chart looks in the Indian System:
In this system:
1 lakh = 100,000
One lakh is written in the place value chart as given below:
L |
TTh |
Th |
H |
T |
O |
1 |
0 |
0 |
0 |
0 |
0 |
10 lakh = 1000000
Ten lakh is written in the place value chart as given below:
TL |
L |
TTh |
Th |
H |
T |
O |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
Let us take a look at some examples
Example 1: 56,72,324
The number 56,72,324 is written in the place value chart as given below:
TL |
L |
TTh |
Th |
H |
T |
O |
---|---|---|---|---|---|---|
5 |
6 |
7 |
2 |
3 |
2 |
4 |
Example 2: 8,94,35,87
The number 8,94,35,87 is written in the place value chart as given below:
TL |
L |
TTh |
Th |
H |
T |
O |
---|---|---|---|---|---|---|
8 |
9 |
4 |
3 |
5 |
8 |
7 |
In the Indian System, we use commas differently: the first comma is placed after the three digits from the right, and then every two digits get a comma.
Example 3: Let’s say we have the number 7,56,89,432.
Here’s how to read it: "Seven Crores, Fifty-Six Lakhs, Eighty-Nine Thousand, Four Hundred Thirty-Two."
The International System of Numeration is the system used by most countries around the world, including the United States, the United Kingdom, and Canada. It uses different names for large numbers and groups them in thousands, millions, billions, etc.
Here’s how the place value chart looks in the International System:
When writing numbers, we use commas to separate periods. While reading, we say the digits in each period together with the period's name.
Example:
The number 2363271 is written as 2,363,271 in the International System.
It is read as: two million, three hundred sixty-three thousand, two hundred seventy-one.
Example 3: 1,234,567 (One million, two hundred thirty-four thousand, five hundred sixty-seven)
Example 4: 3,456,789,012 (Three billion, four hundred fifty-six million, seven hundred eighty-nine thousand, twelve)
In the International System, commas are placed every three digits from the right.
Feature |
Indian System |
International System |
Grouping |
Group digits in pairs after the first three digits (e.g., lakh, crore) |
Groups digits in sets of three (e.g., thousand, million, billion) |
Place Names |
Ones, Tens, Hundreds, Thousands, Lakh, Crore |
Ones, Tens, Hundreds, Thousands, Million, Billion |
Commas |
The first comma after 3 digits from the right, then every 2 digits |
Commas every 3 digits from the right |
Example |
5,67,23,400 (Five crores, sixty-seven lakh, twenty-three thousand, four hundred) |
567,234,000 (Five hundred sixty-seven million, two hundred thirty-four thousand) |
In today’s world, we come across both types of systems. For example:
When reading the population of countries, you might see it in the International System (e.g., 1.4 billion).
But in India, we often hear numbers in lakhs and crores, like the value of properties or the population of cities.
By understanding both systems, you can easily read numbers in different contexts, whether it’s in your country or in international reports.
1. In the Indian System of Numeration, what comes after "thousand"?
A) Lakh
B) Million
C) Crore
D) Hundred
2. How would you write "five lakh" in numbers?
A) 500,000
B) 50,000
C) 5,000
D) 5,000,000
3. In the International System of Numeration, which place value comes after "million"?
A) Lakh
B) Billion
C) Crore
D) Thousand
4. How would you write "three million" in numbers?
A) 3,000
B) 3,000,000
C) 30,000
D) 300,000
5. In the Indian System of Numeration, how is the number 45,67,891 read?
A) Forty-five lakh sixty-seven thousand eight hundred ninety-one
B) Four million five hundred sixty-seven thousand eight hundred ninety-one
C) Forty-five thousand six hundred seventy-eight
D) Forty-five crore six thousand seven hundred eighty-one
Easy Level Worksheets
Intermediate Level Worksheets
Advanced Level Worksheets
Large Numbers | Pictograph| Bar Graphs | Divisibility of Numbers | Factors and Multiples | Least Common Multiple | Like, Unlike and Ordering of Decimals | Factors and Multiples - Types of Numbers