Let’s learn Place Value, Chart & Face Value!
Place value and face value are the most important parameters in mathematics. These two are the basic pillars of mathematics. Let’s welcome to our session to understand all the basic ideas!
Place value is related to the position or place, as the name suggests. We come across various numbers all the time. Numbers consist of digits. It may be one digit or 2 digits of 3 digits or many more. Now, each digit has a position in the number. Depending on that position or place, each digit has a value. This value is known as the place value.
It is defined as the position of each digit in any number.
We all know counting from 0 to 9 and these are the main numbers which we use to express all other numbers. Now, you have been given so many numbers of balls and assigned a few containers or places from your right side to the left side. Let’s consider a few buckets or say ‘places’, like;
Place-7 | Place-6 | Place-5 | Place-4 | Place-3 | Place-2 | Place-1 |
Remember,
Let’s start,
From these examples, we can see that,
The value of balls can contain in an individual place, is simply place value.
Take any number, 765.
Here, a place value of 6 needs to find out.
So, 6 is in 2nd place and we will simply say 6 tens or 6 multiply by10 = 6 x 10 = 60.
Let us try to see some examples,
Place value chart is the basic chart by which we can easily place the digits in the proper places.
Let’s learn the place value chart for whole numbers and decimal numbers.
Steps to use place value charts,
Place value charts are used for two systems,
Value of a digit = digit x place value.
Refer to the below table for a basic concept of the place value of a digit and the value of a digit.
In both systems, 5-digit numbers are read in the same way.
Let’s see a simple comparison table to read the numbers in both the systems.
No. of. Digits | International System | Indian System |
1-Digit Numbers | One (1) | One (1) |
2-Digit Numbers | Ten (10) | Ten (10) |
3-Digit Numbers | Hundred (100) | Hundred (100) |
4-Digit Numbers | Thousand (1000) | Thousand (1000) |
5-Digit Numbers | 10 Thousand (10,000) | 10 Thousand (10,000) |
6-Digit Numbers | 100 Thousand (100,1000) | 1 Lakh (1,00,000) |
7-Digit Numbers | 1 Million (1,000,000) | 10 Lakhs (10,00,000) |
8-Digit Numbers | 10 Million (10,000,000) | 1 Crore (1,10,00,000) |
9-Digit Numbers | 100 Million (100,000,000) | 10 Crores (10,00,00,000) |
Decimal numbers mean we all know that simply fractions or a number with denominators of power of ten.
Place value chart of decimals are as follows,
The first digit on the right of the decimal point means tenths. The second digit on the right of the decimal point means hundreds. The third digit on the right of the decimal point means thousands. Let’s us consider a decimal number, 84.5912
There are various types of worksheets available on the internet for practice.
Face value means the value of the digit itself in any number.
Let us try to see place value examples,
There is a relation between place value and face value. We will see it with examples, Number 35487 Let’s find the place value and face value of 3. Face value of 3 is 3. Here, the position of 3 is 10000, and the face value of 3 is 3. Place value of 3, will be 3 x 10000 i.e. 30000.
Hence, we can say,
Place value = Face Value x Position
Check out a nice VIDEO form Mathantics,
Refer Place value in international system,
Number | Place Value |
728,529,674 | Place value of 4 in 728,529,674 = 4 |
728,529,674 | Place value of 7 in 728,529,674 =70 |
728,529,674 | Place value of 6 in 728,529,674 = 600 |
728,529,674 | Place value of 9 in 728,529,674 =9,000 |
728,529,674 | Place value of 2 in 728,529,674 = 20,000 |
728,529,674 | Place value of 5 in 728,529,674 = 500,000 |
728,529,674 | Place value of 8 in 728,529,674 = 8,000,000 |
728,529,674 | Place value of 2 in 728,529,674 = 20,000,000 |
728,529,674 | Place value of 7 in 728,529,674 = 700,000,000 |
Let’s see the place value of every digit in the below number,
Number | Place Value |
21,34,56,197 | Place value of 7 in 21,34,56,197 = 7 |
21,34,56,197 | Place value of 9 in 21,34,56,197 = 90 |
21,34,56,197 | Place value of 1 in 21,34,56,197 = 100 |
21,34,56,197 | Place value of 6 in 21,34,56,197 = 6,000 |
21,34,56,197 | Place value of 5 in 21,34,56,197 = 50,000 |
21,34,56,197 | Place value of 4 in 21,34,56,197 = 4,00,000 |
21,34,56,197 | Place value of 3 in 21,34,56,197 = 30,00,000 |
21,34,56,197 | Place value of 1 in 21,34,56,197 = 1,00,00,000 |
21,34,56,197 | Place value of 2 in 21,34,56,197 = 20,00,00,000 |
We have already got the basic idea of place value and face value. Now, we will see the differences between place value and face value.
Sl. No. | Place Value | Face Value |
1 | Place value is used to find out the value of the position of any digit in any number | Face value means the value of the digit itself in any number |
2 | Place value is equal to the multiplication of Face value and the value of the position of the particular digit | Face value is equal to the numerical value of the digit only |
3 | Place value depends on the position of the digit in the number | It is independent on the position |
It will be easy to differentiate with an example, let us take a number, 5427.
Digits | Place Value | Face Value |
5 | 5 Thousands | 5 |
4 | 4 Hundreds | 4 |
2 | 3 Tens | 2 |
7 | 7 Units or ones | 7 |
Number 75649
Digits | Place Value | Face Value |
7 | 7 x Ten Thousands = 70 Thousands = 70,000 | 7 |
4 | 4 x Thousands = 4 Thousands = 4,000 | 4 |
6 | 6 x Hundreds = 6 Hundreds = 600 | 6 |
4 | 4 x Tens = 4 Tens or 40 | 4 |
9 | 9 x Units or ones = 9 Ones or 9 | 9 |
Number 84396
Digits | Place Value | Face Value |
8 | 8 x Ten Thousands = 80 Thousands = 80,000 | 8 |
5 | 5 x Thousands = 5 Thousands = 5,000 | 5 |
3 | 3 x Hundreds = 300 | 3 |
9 | 9 x Tens = 9 Tens = 90 | 9 |
6 | 6 x Units or ones = 6 Ones = 6 | 6 |
Write the number 562,736,914,235 in the international system and 49187235 in the Indian system.
Solution:
So, how to write? We have already learned the chart for the international system, and we will write all the digits based on that chart,
Now, based on the Indian system chart, we can write 4,91,87,235 as bellow,
Hence, we have learned the basics of place value along with the chart, face-value along with writing digits in the chart. We have seen many examples and how a single number can be written in the International system and Indian systems. Please write to us, if you have any doubts.