Numbers up to 7-Digits

Numbers up to 7-Digits

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In this mini-lesson, let's learn about numbers up to 7 digits, place Values in 7-digit numbers, how to decompose 7-digit numbers and comparison of the Indian system and the International System. Let's begin our journey across the digits.

Your uncle is in his final round of the show "Who becomes the millionaire?" He is going to become one as you know how witty he is.

A 7-digit number is read as millions or ten-lakhs.

Now do you know how many zeros are in a million?

Let us learn the place values of the 7-digit numbers in this following video.

From the above video, we have learnt how the 7 digits are formed.

10 ones make a ten, 10 tens make a hundred, 10 hundreds make a thousand, 10 thousands make a ten-thousand, 10 ten-thousands make a hundred-thousand and 10 hundred-thousands make a million.

Lesson Plan

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What Are The Numbers Upto 7 Digits?

Let's visualize the following instances with their counts and relate the digits that they come upto.

Instances Number of digits
a dozen eggs 2-digits
cricketer scoring a century 3-digits
number of minutes in a day(1440) 4-digits
number of seconds in a day(86400) 5-digits
population of a particular area of a city 6-digits
population of metropolitan cities 7-digits

The chart shows below how each digit is termed according to its place value. If you have a 7-digit number you read it in millions.

International Place value chart

 


Unlock the Mystical World of Indian Numeral System!

Now as you have now known how the 7-digit numbers are getting formed, you might be interested to get back to read about the other digits as well for better understanding.

Explore them and deep dive into the mystical world of the Indian and the International numeral system.

                Click on a mini lesson to explore further!
Numbers Upto 3-digits
Numbers Upto 5-digits
Numbers Upto 6-digits

How Do You Compare The Indian System And The International System?

The 7-digit numbers can be expressed in two ways. One way as per the Indian system of numeration and the other in the International system of numeration. 

We are expected to know both the systems of numeration. This table will help you understand with an example.

System Indian System International System
Number 52,90,329 5,290,329
Placing of commas 2:2:3 3:3:3
Standard Form 52 lakhs 90 thousand 3 hundred twenty-nine 5 million 290 thousand 3 hundred twenty-nine

Try this simulation to understand how the commas are placed in any number according to the Indian Place Value System and the International Place Value System. You can check numbers up to 10 digits.

Click on RESET, Enter the number and then click GO!

Indian System Vs International System

Let's learn how the numbers are compared in both systems of numeration with the help of this chart below.

Indian and International Place value chart

What Are The Place Values in 7-Digit Numbers?

The place values from the right of a 7-digit numbers are ones, tens, hundreds, thousands, lakhs in the Indian system.

Whereas in the International system, we have ones, tens, hundreds, thousands and millions. 

Indian Place Value Chart

International Place Value Chart

All we need to know is 10 lakhs = 1 million.

How to Decompose 7-Digit numbers?

Any 7-digit number has place values up to ten lakh or a million.

Consider the number 5290329. Let us decompose it in both the systems of numeration.

Indian System Number International System
Ten Lakhs 5 Million
Lakhs 2 Hundred Thousands
Ten Thousands 9 Ten Thousands
Thousands 0 Thousands
Hundreds 3 Hundreds
Tens 2 Tens
Units 9 Units

As per the Indian system:

= 5\(\times\)10 lakhs + 2\(\times\) lakhs + 9\(\times\) ten thousands + 0\(\times\) thousands +3\(\times\) hundreds + 2 \(\times\)tens + 9\(\times\) ones
=(5\(\times\) 10,00,000 ) + (2\(\times\) 1,00,000) + (9\(\times\) 10,000)+ (0\(\times\) 1000 )+(3\(\times\) 100)+ (2 \(\times\) 10) + (9\(\times\) 1)

=50,00,000+2,00,000+90,000+0+300+20+9

=52,90,329

As per the International system:

Let us decompose the same number 5290329 according to the International system of numeration

=5\(\times\) million + 2\(\times\) hundred thousands+ 9\(\times\) ten thousands + 0\(\times\) thousands +3\(\times\) hundreds + 2\(\times\) tens + 9\(\times\)ones

=(5\(\times\)1,000,000) + (2\(\times\) 100,000) + (9\(\times\) 10,000 )+ (0\(\times\) 1000) + (3\(\times\)100)+ (2\(\times\)10)+ (9 \(\times\)1)

=5,000,000+200,000+90,000+0+300+20+9

=5,290,329

 

 
tips and tricks
Tips and Tricks
  1.  "1 million" or “10 Lakhs” is 1 followed by 6 zeros. All other larger or smaller numbers can then be written with reference to these two numbers.
  2. From the right, place the commas, decompose the number according to its place value and read the number in both the systems of numeration.

 

Solved Examples 

Example 1

 

 

Write the numerals of the two numbers with the help of the abacus and find the sum of those numbers.

Add Two numbers shown on an abacus.

Solution:

The number obtained from the first abacus: 3502415

The number obtained from the second abacus: 4112508

Their sum is: \(3502415 +  4112508 = 7614923\)

\(\therefore\) the sum is 7614923
Example 2

 

 

Find the difference of the greatest 7-digit number and the smallest 6-digit number.

Write the predecessor and successor of the result obtained.

Solution:

The greatest 7-digit number is 99,99,999

The smallest 6-digit number is 1,00,000

Subtraction of the greatest 7-digit number and the smallest 6-digit number on board

Their difference is \(99,99,999-1,00,000 = 98,99,999\)

The predecessor of 98,99,999 is 98,99,998

The successor of 98,99,999 is 99,00,000

 Predecessor is 98,99,998 and successor is 99,00,000
Example 3

 

 

How is the number 4315003 separated with commas and read in the Indian Place Value System and the International Place value system?

Solution:

The Indian System separates this number by adding commas in this way: 43,15,003

This is read as Forty three lakh, fifteen thousand and three.

The International System separates these numbers by adding commas in this way: 4,315,003

This is read as Four million, three hundred and fifteen thousand, and three.

Example 4

 

 

Write the following 7-digit number in the expanded form (Indian System): 4380219

Solution:

\(4380219\) can be expanded in three forms:

\(4380219\) = 4 ten lakhs + 3 lakhs + 8 ten thousands + 0 thousands + 2 hundreds + 1 tens + 9 ones

\(4380219\)  = \((4\times 1000000)\) +  \((3\times 100000)\) +  \((8\times 10000)\) +  \((0\times 1000)\) +  \((2\times 100)\)+  \((1 \times 10)\) +  \((9\times 1)\)

\(4380219\) = \(40,00,000\) + \(3,00,000\) + \(80,000\) + \(0,000\) + \(200\) + \(10\) + \(9\)

Example 5

 

 

Write the 5 consecutive numbers after 21,43,098 along with their number names according to the Indian Place Value System.

Solution:

The 5 consecutive numbers which come after 21,43,098 are:

21,43,099 - Twenty one lakh, forty three thousand and ninety nine

21,43,100 -Twenty one lakh, forty three thousand and one hundred

21,43,101 -Twenty one lakh, forty three thousand, one hundred and one

21,43,102 -Twenty one lakh, forty three thousand, one hundred and two

21,43,103 -Twenty one lakh, forty three thousand, one hundred and three

Challenge your math skills
Challenging Questions
  1. How many hundreds make ten lakh?
  2. Arrange the following numbers in descending order: 54,45,555; 55,54,455; 54,54,545; 54,44,554

 

Interactive Questions

Here are a few activities for you to practice. Select/Type your answer and click the "Check Answer" button to see the result.

 
 
 
 

Let's Summarize

Thus we have come to the end of our journey in the exploration of 7-digit numbers. 10 lakhs = 1 million is the smallest 7-digit number. Place the commas according to the system of numeration you work on and decompose it according to the place values with respect to that system. You have mastered at working with 7-digit numbers in both the Indian and the International systems of numeration.

We would love to hear from you. Drop us your comments in the chat and we would be happy to help. 


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Frequently Asked Questions (FAQs)

1. How many 7-digit numbers are there in all?

There are ninety lakh (90,00,000) 7-digit numbers in all.

2. What is the smallest 7 digit number?

The smallest 7 digit number is 10,00,000 which is read as ten lakh.

3. What is the greatest 7 digit number?

The greatest 7 digit number is 99,99,999 which is read as Ninety nine lakh, ninety nine thousand, nine hundred and ninety nine.

4. How much is a 7 digit number?

A 7-digit number has seven digits, where the first digit is 1 or more than 1, and all the digits after the first digit can be anything between 0-9, including both.

It starts from ten lakh (10,00,000) and goes up to Ninety nine lakh, ninety-nine thousand, nine hundred and ninety nine (99,99,999)

FREE Downloadable Resources on 7-Digit Numbers

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7- Digt Numbers -Ebook
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7- Digt Numbers -Worksheet
  
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