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 the below figure for the place value of each digit.

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:

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.

For International System

Comparison Between Indian and International System

In both 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 systems.

Place Value for Decimals

• 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

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

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.

Place Value Through The Millions

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.                                       

Solved Examples

Example 1:

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

Solution:

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

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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