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 7 being at 2 being at 0 being at |

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

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

**Math Only Math** is based
on the premise that children do not make a distinction between play and
work and learn best when learning becomes play and play becomes
learning.

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

**Related Concept **

● 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.

● Problems Related to Place Value.

● Example on Comparison of Numbers.

● Successor and Predecessor of a Whole Number.

● Formation of Numbers with the Given Digits.

● Formation of Greatest and Smallest Numbers.

● Examples on the Formation of Greatest and the Smallest Number.

**4th Grade Math Activities**

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