Place value is nothing but the position or place of a digit in the decimal number. In a number, every digit has someplace. The positions of digits in number starts from one’s place. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand’s, and so on. Generally, a number is formed by grouping digits together.

## Place, Place Value and Face Value Definitions

In a number, every digit has a fixed position known as the digit place. And each digit has a value depending on its place called the place value of the digit. Face value of a digit for any place in the value of the digit itself.

Place Value of a digit = (face value of the digit) x (value of the place)

### Place Value Table

Place value chart is helpful to ensure that the digits are in the correct places. Place value tells us how much each digit stands for. The place value table is mentioned here.

### Properties of Place Value

- The place value of every one-digit number is the same as the face value.

The 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. The place value of 0 is always 0. It may present at any place in the number, its value is always zero.

Example:

(i) In the numbers 105, 270, 1025 the place of value 0 is 0.

(ii) The place of 1 in 251 is 1, 7 in 8567 is 7.

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

Example:

(i) The place value of 6 in 67 is 6 x 10 = 60

(ii) The place value of 2 in 526 is 2 x 10 = 20

- In the number 567, the digit 7 is at one’s place, the digit 6 is at ten’s place and the digit 5 is at the hundred’s place.

So, the place value of 7 is 7, 6 is 6 x 10 = 60, and 5 is 5 x 100 = 500

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

Example:

In the number 286,

The place value of 6 is 6 x 1 = 6

The place value of 8 is 8 x 10 = 80

The place value of 2 is 2 x 100 = 200

- 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.

Examples:

(i) In the number 3578,

The place value of 8 is 8 x 1 = 8 because 8 is at the unit’s place.

The place value of 7 is 7 x 10 = 70 because 7 is at ten’s place.

The place value of 5 is 5 x 100 = 500 because 5 is at hundred’s place

The place value of 3 is 3 x 1000 = 3000 because 3 is at thousand’s place.

(ii) In the number 58762, the place value of each digit is as follows

2 is 2 x 1 = 2

6 is 6 x 10 = 60

7 is 7 x 100 = 700

8 is 8 x 1000 = 8000

5 is 5 x 10000 = 50000

(iii) Find the place value of digits 30589

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### Example Questions on Place Value

**Example 1:**

Write the place value of the given numbers.

(i) 5 in 38956

(ii) 2 in 2587

(iii) 6 in 6845321

**Solution:**

(i) The given number is 38956

The place value of 5 in 38956 is 5 x 10 = 50. Because 5 is at tens place.

(ii) The given number is 2587

The place value of 2 in 2587 is 2 x 1000 = 2000. Because 2 is at thousands place.

(iii) The given number is 6845321

The place value of 6 in 6845321 is 6 x 1000000 = 60,00,000. Because 6 is at ten lakhs place.

**Example 2:**

Write the place value of a highlighted digit in the given numbers

(i) 25**8**9

(ii) 67**5**25

(iii) 25**1**5963

**Solution:**

(i) The given number is 2589

The place value of highlighted 8 in 2589 is 8 x 10 = 80 as it is located at the tens position.

(ii) The given number is 67525

The place value of highlighted digit 5 in 67525 is 5 x 100 = 500 as it is located at the hundred’s position.

(iii) The given number is 2515963

The place value of highlighted digit 1 in 2515963 is 1 x 10000 = 10000 as it is located at the ten thousand’s position.

**Example 3:**

Circle the following.

(i) Digit at the hundreds place in 5289.

(ii) Digit at the lakhs place in 2563891

(iii) Digit at the units place in 5280

**Solution:**

(i) In the number 5289,

9 is at units place, 8 is at tens place, 2 is at hundreds place and 5 is at thousand’s place

So, Digit at the hundreds place in 5289 is 2.

(ii) In the number 2563891,

1 is at units place, 9 is at tens place, 8 is at hundreds place, 3 is at thousand’s place, 6 is at ten thousand’s place, 5 is at lakhs place, 2 is at ten lakhs place.

Therefore, Digit at the lakhs place in 2563891 is 5.

(iii) In the number 5280,

0 is at the unit’s place, 8 is at the ten’s place, 2 is at the hundred’s place and 5 is at the thousand’s place.

Hence, the digit at the units place in 5280 is 0.

**Example 4:**

Find the place value of 5 in the given numbers.

(i) 6,00,521

(ii) 5,23,168

(iii) 2,05,387

**Solution:**

(i) The given number is 6,00,521

The place value of 5 is 5 x 100 = 500.

(ii) The given number is 5,23,168

The place value of 5 is 5 x 10,000 = 50,000.

(iii) The given number is 2,05,387

The place value of 5 is 5 x 1000 = 5000.

### FAQs on Place Value

**1. Write the differences between place value and face value?**

Place value means the position of a particular digit in the number but face value represents the exact value of a digit in that number. For example in the number 2556, the place value of 2 is thousands but the face value is 2.

**2. Define place value with an example?**

The place value is the position of a digit in a number. The place values of digits are represented as ones, tens, hundreds, thousands, ten thousand, and so on. The example is the place value of 8 in 589 is 8 tens i.e 80.