7 Digit Numbers
A 7-digit number is read as millions or ten-lakhs. Now, do you know how many zeros are there in a million? Let us see. 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. In this lesson, let's learn about numbers up to 7 digits, place values in 7-digit numbers, how to decompose 7-digit numbers, and the comparison of the Indian number system and the International number system.
|1.||What Are Numbers Up to 7 Digits?|
|2.||7-digit Numbers in the Indian System and the International System|
|3.||Place Values in 7-Digit Numbers|
|4.||How to Decompose 7-Digit Numbers?|
What Are Numbers Up to 7 Digits?
When we talk about 7-digit numbers, we mean the place values up to 1,000,000 or 10,00,000. The place value of the seven digits that make up the 7-digit number are obtained by progressively multiplying the respective figure by 1, 10, 100, 1,000,10,000, 1,00,000, and 10,00,000, starting from the rightmost digit and moving to the left, as per Indian number system.
Let's visualize the following instances with their counts and relate the digits that they come up to.
|Instances||Number of digits|
|a dozen eggs (12)||2-digits|
|a cricketer scoring a century (100)||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 (768543)||6-digits|
|population of metropolitan cities (4598765)||7-digits|
The following chart shows how each digit is termed according to its place value. According to the chart, we can see that if we have a 7-digit number we read it as millions.
7-digit Numbers in the Indian System and the International System
7-digit numbers can be expressed in two ways. The first is as per the Indian number system and the other is as per the International number system. This table will help us to understand how a number is expressed in two different ways.
|System||Indian System||International System|
|Placing of commas||2:2:3||3:3:3|
|Standard Form||Fifty-two lakh, ninety thousand, three hundred twenty-nine||Five million, two hundred ninety thousand, three hundred twenty-nine|
Indian System vs International System
Let us learn how the numbers are compared in both the systems of numeration with the help of this chart given below.
Place Values in 7-Digit Numbers
According to the Indian numeral system, the place values of 7-digit numbers, starting from the right side, are read as, ones, tens, hundreds, thousands, ten thousands, lakhs, and so on. Whereas in the International system, we have ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions. The following tables show the place values of the Indian number system and the International number system.
If we compare the tables given above, we can conclude that 10 lakh = 1 million. Let us understand this with the decomposition of 7-digit numbers in the following section.
How to Decompose 7-Digit Numbers?
A 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. The following table shows the different ways in which it is placed in both systems.
|Indian System||Number||International System|
|Ten Thousands||9||Ten Thousands|
As per the Indian system:
Let us decompose the same number 5290329 according to the Indian system of numeration.
= (5 × 10 lakh) + (2 × lakh) + (9 × ten thousands) + (0 × thousands) +(3 × hundreds) + (2 × tens) + (9 × ones)
= (5×10,00,000) + (2×1,00,000) + (9×10,000) + (0×1000) + (3×100)+ (2×10) + (9×1)
= 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 × million) + (2 × hundred-thousands) + (9 × ten-thousands) + (0 × thousands) + (3 × hundreds) + (2 × tens) + (9 × ones)
= (5×1,000,000) + (2×100,000) + (9×10,000 )+ (0×1000) + (3×100) + (2×10) + (9×1)
= 5,000,000 + 200,000 + 90,000 + 0 + 300 + 20 + 9 = 5,290,329
Tips and Tricks
The following points can be noted while solving problems related to 7-digit numbers.
- "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.
- From the right, place the commas, decompose the number according to its place value and read the number in both the systems of numeration.
Example 1: Find the difference between the greatest 7-digit number and the smallest 6-digit number. Write the predecessor and successor of the result obtained.
The greatest 7-digit number is 99,99,999. The smallest 6-digit number is 1,00,000. Their difference is 99,99,999-1,00,000 = 98,99,999. The predecessor of 98,99,999 is the number that comes just before it, and it is 98,99,998. The successor of 98,99,999 is the number that comes just after it, and it is 99,00,000.
Example 2: How is the number 4315003 separated with commas and read in the Indian Place Value System and the International Place value system?
- 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 3: Write the following 7-digit number in the expanded form (Indian System): 4380219
- 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 = (4×10,00,000) + (3×1,00,000) + (8×10,000) + (0×1000) + (2×100)+ (1×10) + (9×1)
- 4380219 = 40,00,000 + 3,00,000 + 80,000 + 0 + 200 + 10 + 9
Practice Questions on Numbers Upto 7-Digits
FAQs on Numbers Upto 7-Digits
What is the Smallest 7-Digit number?
The smallest 7 digit number is 10,00,000 which is read as ten lakh according to the Indian number system and 1,000,000 (one million) as per the International number system.
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, as per the Indian number system.
How Many 7-Digit Numbers are there in all?
7-digit numbers start from 1000000 and end with 9999999. There are ninety lakh (90,00,000) 7-digit numbers in all.
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)
What is the Difference Between the Greatest and the Smallest 7-Digit Numbers?
The smallest 7-digit number is 10,00,000 and the greatest 7-digit number is 99,99,999. Thus, the difference between the greatest and the smallest 7-digit numbers is 99,99,999 -10,00,000 = 89,99,999.
How do you Write a 7-Digit Number in the Expanded Form?
A 7-digit number can be written in the expanded form as per the place value of each of the digit in that number. For example, 99,88,913 = 90,00,000 + 9,00,000 + 80,000 + 8,000 + 900 + 10 + 3.