Place Value

The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details.

Place, Place Value and Face Value:

A number is formed by grouping the digits together.
● Each digit has a fixed position called its place.
● Each digit has a value depending on its place called the place value of the digit.
● The face value of a digit for any place in the given number is the value of the digit itself
● Place value of a digit = (face value of the digit) × (value of the place)


1. The place value of every one-digit number is the same as and equal to its face value.

(i) Place value and face value of 1, 2, 3, 4, 5, 6, 7, 8 and 9 are 1, 2, 3, 4, 5, 6, 7, 8 and 9 respectively.

(ii) The place value of zero (0) is always 0. It may hold any place in a number, its value is always 0.

As, in 105, 350, 42017, 90218 the place value of 0 in each number is 0.

2. In a two-digit number, the place value of the ten-place digit is 10 times of the digit.

As, in 58, the place value of 5 is 5 × 10 = 50 and place value of 8 is 8 × 1= 8; the face value of 5 is 5 and of 8 is 8.


3. In the number 475, the digit 5 is at one’s place, digit 7 is at ten’s place and digit 4 is at hundred’s place.

So, place value of 5 = 5, place value of 7 = 7 × 10 = 70, and place value of 4 is 4 × 100 = 400.

Thus, for the place value of a digit, the digit is multiplied by the place value of 1 it has to be that place.


For Example:

In 768;
the place value of 8 = 8 × 1 = 8
the place value of 6 = 6 × 10 = 60 and
the place value of 7 is 7 × 100 = 700.


4. Now it is the general law that the digit possesses its place value as the product of the digit and place value of one to be at that position.


For Example:

(i) In a number 4129;

the place value of 9 is 9 × 1 = 9 as 9 is at one’s or unit’s place.

the place value of 2 is 2 × 10 = 20 as 2 is at ten’s place.

the place value of 1 is 1 × 100 = 100 as 1 is at hundred’s place.

the place value of 4 is 4 × 1000 = 4000 as 4 is at thousand’s place.


(ii) In a number 3720, the place value of

3 is 3 × 1000 = 3000

7 is 7 × 100 = 700

2 is 2 × 10 = 20

0 is 0 × 1 = 0

3 being at Th-place

7 being at H-place

2 being at T-place

0 being at one’s or unit’s place


(iii) Place value of the digits 3702 are shown below:

Place Value of the Digits 3702


(iv) Here, we also see that the place value of the digit 0 in a number is always zero, whatever may be its position.

Place Value of the Digit 0


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However, suggestions for further improvement, from all quarters would be greatly appreciated.

Related Concept

Formation of Numbers.

Finding Out the Numbers

Names of the Numbers.

Numbers Showing on Spike Abacus.

1 Digit Number on Spike Abacus.

2 Digits Number on Spike Abacus.

3 Digits Number on Spike Abacus.

4 Digits Number on Spike Abacus.

5 Digits Number on Spike Abacus.

Large Number.

Place Value Chart.

Place Value.

Problems Related to Place Value.

Expanded form of a Number.

Standard Form.

Comparison of Numbers.

Example on Comparison of Numbers.

Successor and Predecessor of a Whole Number.

Arranging Numbers.

Formation of Numbers with the Given Digits.

Formation of Greatest and Smallest Numbers.

Examples on the Formation of Greatest and the Smallest Number.

Rounding off Numbers.


4th Grade Math Activities

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