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 as one’s position. After units, it comes tens, hundreds, thousands, ten thousand, hundred thousands and so on. In this article, we are going to discuss what is place value, the difference between place value and the face value in Maths, place value in the Indian system with examples. Let us understand with the help of an example, say 3147286, and see below the place value of each digit.

Place Value

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

Place Value Chart For Indian System

Here, 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)

Place Value Chart 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.
Number Place Value Value of digit
5 67,891,234 Units / Ones 4
5 67,891,234 Tens 30
5 67,891,234 Hundreds 200
5 67,891,234 Thousands 1,000
5 67,891,234 Ten thousand 90,000
5 67,891,234 Hundred thousand 800,000
5 67,891,234 Millions 7,000,000
5 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

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.

Place Value and Face Value

As we have already discussed the definition of both place value and face value, let us discuss the difference between them. 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 Millions  Ten Millions  Millions Hundred Thousands  Ten Thousands  Thousands Hundreds    Tens  Ones
7 1 5 0 2 7 0 0

Place Value 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 thousands place

(c)  ten thousands place (d) Ones place

Solution:

(a) A number in hundreds place is 4

(b) A number in hundred thousands place  is 7

(c) A number in ten thousands place is 8

(d) A number in One’s place is 5

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2 Comments

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

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