Difference Between Place Value and Face Value
What is place value and face value?
The significant distinction between place value and face value is that place value assigns a digit based on its location in a number. In contrast, face-value assigns a digit’s actual value. A number’s face value is fixed and cannot be modified. However, its place value varies depending on the digit’s location.
Face Value
The real value of a digit in a number, regardless of its position, is known as face value. A digit in a number has the same face value as the digit itself.
For example, in the number 45634, the number ‘3’ has a face value of 3.
Place Value
A digit’s place value in a number gets determined by its location. As we proceed from right to left, the size of the place value grows. It indicates that the digit on the far left of any integer has the highest place value. The value of each location in a number can get expressed as ones, tens, hundreds, thousands, ten thousand, and so on in increasing order. To get the place value of any digit, multiply its face value by its position value.
As an example, consider the following:
We will start by looking at the face value of the digit 6 in the number 9673. After that, we multiply it by the value of the digit’s location, i.e., digit 6 has a position value of 100. Therefore, by multiplication, we get the place value of 6 in 9673 as 600. The place value of any digit changes according to its position in the number.
We may also express a number in expanded form using the manner outlined above by treating it as the sum of all its place values.
For example, the number 9673 can get written in the expanded form as
9000 + 600 + 70 + 3. This notation aids in visualizing a number’s actual magnitude.
Difference between place value and face value (Place Value vs. Face Value)
The significant distinctions between place value and face value must be understood. The number system in place value goes from 0 through tens, hundreds, thousands, and so on.
Check out the table below to learn more about the critical distinctions between place value and face value:
| Place Value | Face Value |
| The digit multiplied by hundreds or thousands, depending on where it is put, is called place value. | Face value simply refers to the value of a digit within a number. |
| For e.g.:
Place value of 6 in 650: 6*100 = 600 |
For e.g.:
Face value of 6 in 650 is 6. |
| For 0, the place value is 0. | For 0, the face value is also 0 |
| A digit’s place value should be multiplied by the digit value of the position in which it is found. | The face value of a digit remains constant irrespective of its location. |
Solved Example
Determine the Place value and Face value for each digit in the following numbers –
- 2657
| For 7 | Place Value | 7 |
| Face Value | 7*1 = 7 | |
| For 5 | Place Value | 5 |
| Face Value | 5*10 =50 | |
| For 6 | Place Value | 6 |
| Face Value | 6*100 = 600 | |
| For 2 | Place Value | 2 |
| Face Value | 2*1000 = 2000 |
- 6351
| For 1 | Place Value | 1 |
| Face Value | 1*1 = 1 | |
| For 5 | Place Value | 5 |
| Face Value | 5*10 = 50 | |
| For 3 | Place Value | 3 |
| Face Value | 3*100 = 300 | |
| For 6 | Place Value | 6 |
| Face Value | 6*1000 = 6000 |
- 50,127.
| For 7 | Place Value | 7 |
| Face Value | 7*1 = 7 | |
| For 2 | Place Value | 2 |
| Face Value | 2*10 = 20 | |
| For 1 | Place Value | 1 |
| Face Value | 1*100 = 100 | |
| For 0 | Place Value | 0 |
| Face Value | 0*1000 = 0 | |
| For 5 | Place Value | 5 |
| Face Value | 5*10000 = 50000 |
Find the product of Place value of 3 in 1,631 and Place value of 4 in 4,501.
In 1,631,
For the Place value of 3:
3 × 10 = 30
In 4,501,
For the place value of 4:
4 × 1,000 = 4,000.
Therefore,
The product becomes
30 × 4,000 = 1, 20, 000
Find the product of Place value of 6 in 6,439 and Place value of 4 in 5,041.
In 6,439,
For the Place value of 6,
6 × 1000 = 6000
In 5,041,
For the place value of 4,
4 × 10 = 40.
Therefore,
The product becomes,
6000 × 40 = 2, 40, 000
Place value and face value worksheets
FAQs (Frequently Asked Questions)
Explain place value with an example
The place value of a digit enables us to know where it is placed in a number.
It might be in one unit, tens of units, hundreds of units, and so on.
For e.g.,
The place value of 5 in 504:
5 x 100 = 500.
Explain face value with an example
The value of a number is determined by the face value of each digit.
It doesn’t matter where the digit is placed.
For e.g.,
The face value of 6 in 601 is 6 only.
What are the place value and face value of 3 in 63407?
The face value of 3 in 63407 is 3.
The place value of 3 in 63407:
3 x 1000 = 3000
What is the place value and face value of 4 in 9401?
The face value of 4 in 9401 is 4.
The place value of 4 in 9401:
4 x 100 = 400
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