Place Value

Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

Let us understand with the help of an example, say 7231468, and see below figure for the place value of each digit.

Place value of digits

Try more here: Place Value Worksheets

Place Value Chart

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

The 10 digits we used to represent the numbers are:

0 1 2 3 4 5 6 7 8 9

Here, we provided the place value chart of the Indian System for reference. Go through this chart and find the place value of the given number.

For Indian System

The Indian System of place value chart is given below.

Place Value Chart For Indian System

Crores

Lakhs Thousands

Ones

Ten Crores

(TC)

(10, 00,00,000)

Crores (C)  

(1, 00,00,000)

Ten Lakhs (TL)

(10,00,000)

Lakhs

(L)

(1,00,000)

Ten- Thousands (TTh)

(10,000)

Thousands (Th)

(1000)

Hundreds (H)

(100)

Tens

(T)

(10)

Ones

(O) 

(1)

For International System

Place Value Chart For International System

Millions

Thousands

Ones

Hundred- Millions

(HM)

(100, 000,000)

Ten-Millions(TM)

(10, 000,000)

Millions

(1,000,000)

Hundred -Thousands (HTh)

100,000)

Ten- Thousands (TTh)

(10,000)

Thousands (Th)

(1000)

Hundreds (H)

(100)

Tens

(T)

(10)

Ones

(O) 

(1)

Comparison Between Indian and International System

In both the systems,  5-digit numbers are read in the same way. Here, we will have a look at the comparison of how to read the numbers in both the Indian and International system.

No. of. Digits

Indian System

International System

6-Digit Numbers       

      1 Lakh     

      100 Thousand

7-Digit Numbers       

      10 Lakhs   

    1 Million

8-Digit Numbers   

      1 Crore   

  10 Million

9-Digit Numbers   

    10 Crores   

      100 Million

Place Value for Decimals

  Hundred
Thousands
      Ten
Thousands
Thousands Hundreds Tens Ones . Ones Tenths Hundredths
  • Place value tells you how much each digit stands for
  • Use a hyphen when you use words to write 2-digit numbers greater than 20 that have a digit other than zero in the one’s place.
  • A place-value chart tells you how many hundreds, tens, and ones to use.

Place Value Table

Number Place Value Value of digit
67,891,234 Units / Ones 4
67,891,234 Tens 30
67,891,234 Hundreds 200
67,891,234 Thousands 1,000
67,891,234 Ten thousand 90,000
67,891,234 Hundred thousand 800,000
67,891,234 Millions 7,000,000
67,891,234 Ten million 60,000,000

Zeros may stand for nothing, but that doesn’t mean you can leave them out. They keep other digits in the correct places.

Thousands Hundreds Tens Ones
2 0 4 0

Think: 2 thousand + 0 hundred + 4 tens + 0 ones

Write: 2,040

Say: Two thousand Forty

Face Value in Maths

The face value of a digit is the value of the digit itself, in a number. Whether the number is single-digit, double-digit, or three-digit or any number, each digit has its face value. Let us understand with the help of examples.

  1. For number 2, 2 is the face value.
  2. For number 89, the face value of 8 and 9 are 8 and 9 respectively.
  3. For 52369, the face value of 3 is 3.

Difference Between Place Value and Face Value

From the definition, we know place value states the position of a digit in a given number, whereas face value describes the value of the digit.

Let us take an example of a number say, 2456. Check the table below to understand the difference.

Digits

Place Value Face Value

2

Thousands

2

4

Hundreds

4

5

Tens

5

6 Units or ones

6

Place Value Through The Millions

    Millions Period   Thousands Period        One’s Period

The digits in large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.

Let us take an example of a number, 71502700. Check the position of each digit in the given table below.                                       

Hundred Million  Ten Million  Millions Hundred Thousand  Ten Thousand  Thousands Hundreds    Tens  Ones
7 1 5 0 2 7 0 0

Solved Examples

Example 1:

Write the number 27349811 in the International place value system. Also, write it with commas and in words.

Solution:

MILLION THOUSANDS ONES
T.M M H.Th T.Th Th H T O
2 7 3 4 9 8 1 1

With commas – 27,349,811

In words – Twenty-seven million three hundred forty-nine thousand eight hundred eleven.

Example 2:

In the number 783425, write the digit that is in –

(a) hundreds place (b) hundred thousand place

(c)  ten thousand’s place (d) One’s place

Solution:

(a) A number in hundreds place is 4

(b) A number in hundred thousand’s place  is 7

(c) A number in ten thousand’s place is 8

(d) A number in One’s place is 5

To learn more about Maths concepts, stay tuned with BYJU’S – The Learning App and download the app to learn with ease.

Practice Questions

  1. Find the place value of:
    • 2 in 230
    • 4 in 1490
    • 9 in 129
    • 6 in 67878
  2. Expand the numbers representing the place value of each digit.
    • 799
    • 56788
    • 101000
    • 1119

Frequently Asked Questions – FAQs

What is Place Value? Give example.

The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in number. For example, the place value of 1 in 1002 is thousands, i.e.1000.

What is the place value of 6 in 64?

The place value of 6 in 64 is 6 tens or 60, such that, 6 tens plus 4 is equal to 64.

What is the place value of 1 in 100?

The place value of 1 in 100 is hundreds place, i.e. 1 x 100 = 100.

What is the place value of 2 in 123456? Also, expand the number.

The place value of 2 in 123456 is ten-thousands, such that, 2 x 10,000 = 20000.
Expanded form of 123456 = 1 x 100000 + 2 x 10000 + 3 x 1000 + 4 x 100 + 5 x 10 + 6.

What is place value of 0 in 209?

The place value of 0 in 209 is tens.

How place value is different from face value?

The place value represents the position of a digit in the number but the face value shows the exact value of a digit.
For example, in 2003, the place value of 2 is thousands whereas face value is 2 only.

5 Comments

  1. any short cut to find face value and place value

  2. very good but make us do questions and answer

  3. VERY good informations

  4. very good information and we can learn everything

Leave a Comment

Your email address will not be published. Required fields are marked *

BOOK

Free Class