Indian Place Value Chart

Indian Place Value Chart

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Introduction to Indian Place Value Chart

Numbers in mathematics are used for counting, measurements and comparisons.

Every digit in a number has its own value depending on its position in the place value chart. 

The place value of a number shows how much a digit is worth based on its position.

In order to avoid confusion while reading very large numbers, we arrange the numbers into periods with the help of commas.

There are two systems to split a number.
1. Indian Place Value System
2. International Place Value System

There are two types of place value charts: Indian Place Value Chart and International Place Value Chart.

Let us look at the Indian Place Value Chart which is helpful when dealing with large numbers.


What is Indian Place Value Chart?

The Indian place value chart is a chart which is used to find the value of each digit in a number based on its position.

In order to read and write numbers, we use the following Indian Place Value Chart.

Indian Place Value Chart is grouped into four periods: Ones, Thousands, Lakhs and Crores.

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

Starting from the right, the first period is ones, consisting of three place values: ones, tens and hundreds.

The second period is thousands, consisting of two place values: thousands and ten thousands.

The third period is lakhs, consisting of two place values: lakhs and ten lakhs.

The fourth period is crores, consisting of two place values: crores and ten crores.

While reading a number, all the digits in the same period are read together along with the name of the period, except the ones period.


Comparison Between Indian and International System

Now let us turn our attention towards the International Place Value Chart.

International Place Value Chart is grouped into three periods: ones, thousands and millions.

Indian Place Value Chart International Place Value Chart
Nine places are grouped into four periods: ones, thousands, lakhs and crores. Nine places are grouped into three periods: ones, thousands and millions.
Place Values: Ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores and ten crores Place Values: Ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions and hundred millions
Lakhs and crores are indians units in the Indian Place Value Chart. Millions and billions are international units in the International Place Value Chart.

Indian Place Value Chart Examples

Example 1

 

 

Write the number 2319617 in the Indian place value chart and the International place value chart.

Identify the numbers having the same place values in both the charts.

Solution:

Let us first write the number in both place value charts.

Indian place value chart example: The number 2319617 is arranged in the Indian Place Value Chart and International Place Value Chart.

The number 2319617 is arranged in three periods in the Indian place value chart, i.e. ones, thousands and lakhs. 

This number is arranged in three periods in the International place value chart, namely ones, thousands and millions.

From the place value charts, it is clear that starting from the right, the numbers 7, 1, 6, 9 and 1 have the same place values.

7, 1, 6, 9 and 1 have the same place values.
Example 2

 

 

What is the place value of 9 in 3921919 in both the number systems?

Solution:

Let us write the number in the Indian place value chart.

Indian Place Value Chart is grouped into four periods: Ones, Thousands, Lakhs and Crores.

There are three 9’s in the number.

Starting from right, the place value of the first 9 is 9, the second 9 is 900 and the third 9 is 9,00,000.

The place value of the first 9 is 9, the second 9 is 900 and the third 9 is 9,00,000

Now, let us write the number in the International place value chart.

Writing a number in an international place value chart

Starting from right, the place value of the first 9 is 9, the second 9 is 900 and the third 9 is 900,000.

The place value of the first 9 is 9, the second 9 is 900 and the third 9 is 900,000

Wasn’t it easy to find the place values in both the systems?

Remember the following points while reading or writing a number in any of the systems.

 
important notes to remember
Important Notes
  1. While writing a number in the Indian numeral system or in the international numeral system, separate the period using commas.
  2. While reading a number, read from left to right.
  3. Read the number in each period and say the name of the period after each number in the period.
  4. While reading a number, skip the period containing zeros at all the places.

Place Value Calculator

Now it's time to play with place values.

For the given number, drag the sliders to give the place value for each digit in the number.

Experience this for different numbers by clicking on the “Click to generate new Number” button.


Place Value for Decimals

This is how the place value chart of a decimal number looks like.

Place Value Chart for Decimals

Example 1

 

 

Write the number 12.45 in a place value chart for decimals.

Write the number name.

Solution:

Let us write the number in the place value chart.

Arranging 12.45 in a place value chart for decimals.

Place Value for decimal numbers

Thus, the number 12.45 can be written as twelve and four tenths and five hundredths.

12.45 - Twelve and four tenths and five hundredths
 
Thinking out of the box
Think Tank
  1. Rewrite the number 4512003178 in the International place value chart.
  2. Which digit in the number 750231 has the greatest place value?

Practice Questions

Here are a few activities for you to practice.

Select/Type your answer and click the "Check Answer" button to see the result.

 
 
 
 
 
 

Maths Olympiad Sample Papers

IMO (International Maths Olympiad) is a competitive exam in Mathematics conducted annually for school students. It encourages children to develop their math solving skills from a competition perspective.

You can download the FREE grade-wise sample papers from below:

To know more about the Maths Olympiad you can click here


Frequently Asked Questions (FAQs)

How to make a place value chart?

To make an Indian place value chart, draw 4 columns showing the 4 periods: ones, thousands, lakhs and crores.

Under each period, draw sub-columns to show the different place values: ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores and ten crores.

Similarly, to make an International Place Value Chart, draw 3 columns showing the 3 periods: ones, thousands and millions.

Under each period, draw sub-columns to show the different place values: Ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions and hundred millions.

For example, the number 26984 is represented in the Indian place value chart.

Indian Place Value Chart is grouped into four periods: Ones, Thousands, Lakhs and Crores. The number 26984 is represented in this chart.

The number 2358984 is represented in the Indian place value chart.

Indian Place Value Chart is grouped into four periods: Ones, Thousands, Lakhs and Crores. The number 2358984 is represented in this chart.

  
More Important Topics
Numbers
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