4th Class Mathematics Large Numbers Large Numbers

This lesson will help you to:—

• be able to recognize & learn numbers larger than lakh.
• be able to understand the place value chart.
• be able to identify ten lakh.
• be able to understand the real life applications of large numbers.

Real Life Examples

We are surrounded by numbers in each & every sphere of our life. Large numbers are often used in monetary transactions in businesses, banks etc. Total number of schools in a city, total numbers of students in a big school is all examples of large numbers.

QUICK CONCEPT REVIEW

Large Numbers

A census officer visited Rohan's home. He was confused why she is asking so many questions. He was really curious & asked his father all about census. His father told him that census is the process to count & record all the information of the population of a country.

Rohan says that population of the whole country must be a very big number. His father told him that for this you will have to learn about large numbers.

Let us all learn about large numbers.

Let us have a look at the table given below:

The numbers given in the above table are based on the Indian system of numeration.

As the number increases it becomes larger and larger.

6 DIGIT NUMBERS

We know that 99,999 is the greatest 5 digit number. If we add 1 to it, we will get the smallest 6 digit number.

Place Value

The place value of a 6 digit number is Lakhs in the place value chart.

Have a look at the place value chart given below:

The place value chart has been separated into three groups:

"The ones period has three places - Hundreds, tens & ones.

The thousands period has two places – Ten thousands & thousands.

Amazing Facts

• Sometimes instead of using commas, we can leave spaces between periods. This helps to read a number easily & quickly.
• Abacus is considered the origin of the calculator.
• The largest 1 digit number is 9.
• The largest 9 digit number is 999999999.
• The smallest 1 digit number is 1.
• The smallest 9 digit number is 100000000.

Next period is the lakhs period which includes - Ten lakhs & lakhs.

But we will learn ten lakhs in higher classes.

Use of Comma

If we write the number without using the place value chart, we use comma to separate the periods.

Let us consider an example:

5, 47, 283

Here, First comma is used when the ones period is complete.

Second comma is used when thousands period is complete.

Next comma is used to separate thousands and lakhs period.

ACITIVITY TIME

Put commas to separate the periods;

• 435362
• 326483
• 210002

Reading a 6 digit number; 5, 47, 283

We read a 6 digit number as mentioned below:

Five lakhs forty seven thousands two hundred eighty three.

ACTIVITY TIME

Read the following numbers:

• 6, 47, 393
• 8, 72, 282

Expanded notation: 5, 47, 283

Let us learn to write a number in its expanded notation form. Look at the table given below:

This table can be summarized as follows;

500000 + 40000 +7000 +200 + 80 + 3