Most of the students might get confused about place value and face value. In this article, students can gain complete knowledge on expressing place value and face value. Before we proceed to place value and face value let us recall the concept of the expanded form of a number. Also, we will learn about expressing place value and face value of a digit in any number system i.e, Indian number system and International System. In fact, you can refer to Examples on Finding Place Value and Face Value of Digits in a Number explained clearly for your reference.

Do Refer:

### What is Place Value?

Place Value is defined as the value of each digit in a number. It describes the position of the number in the number system. Place Value is the Digit according to its position such as ones place, tens place, hundreds place, thousands place, and so on.
For example, let us consider a four-digit number 3456.
6 represents ones place.
5 represents tens place i.e., 50.
4 represents hundreds place i.e., 400
3 represents thousands place i.e, 3000
So, 3456 is Three thousand, Four Hundred, Fifty, Six.

### What is Face Value?

The face value of a digit in any number is the value of the digit itself. The face value of a digit remains the same irrespective of the position where it is located.
For Example, let us consider four-digit number 3456.
The face value of 3 is 3 itself
The face value of 4 is 4 itself
The face value of 5 is 5 itself
The face value of 6 is 6 itself

### Difference Between Place Value and Face Value

Place value describes the position of the digit in the given number. And the face value describes the value of the digit.

 Place Value Face Value It is defined as the position that a digit occupies in a number. Face value is the actual value of a digit. To get the place value of a number, we have to multiply the digit value with the value. The face value of a digit is the number itself. The place value depends upon the position of the digit in the number. The face value is independent of the position of the digit in the number. The place value of the digit in ones place is always single digit, tens place is double digit and it increases by one more digit and so on. The face value of a number is always a single digit.

### Expressing Place Value and Face Value in Expanded Form

Let us understand the difference between place value and face value by expressing them in the expanded form of a number.
The expanded form of 3456 is 3000 + 400 + 50 + 6
In the above example, the place value of 3 is 3000 since it is in the thousands place, the place value of 4 is 400 since it is in the hundreds place, the place value of 5 is 50, since it is in the tens place, the place value of 6 is 6 since it is ones place.
When it comes to face value, the face value of 3 is 3, the face value of 4 is 4, the face value of 5 is 5, the face value of 6 is 6.

### Place Value and Face Value Questions |

Example 1.
Find the place value of digits 2 and 6 in the 52469.
Solution:
Given,
52469
We have to find the place value of 2 and 6.
Let us start from the left.
6 is in tens place. So, the value is 60.
2 is in thousands place. So, the value is 2000.

Example 2.
Find the place value of the number 15368 (Indian Number System).
Solution:
Given,
We have to find the place value 15368.
Let us start from the left.
8 is in the ones place. So, the value is 8.
6 is in the tens place. So, the value is 60.
3 is in the hundreds place. So, the value is 300.
5 is in the thousands place. So, the value is 5000.
1 is in the ten thousands place. So, the value is 10,000.
Therefore the place value of 15368 is ten thousand, five thousand, three hundred, sixty, eight.

Example 3.
Find the face value of the number 15366.
Solution:
The face value of the digit is the number itself.
The face value of 1 is 1.
The face value of 5 is 5.
The face value of 3 is 3.
The face value of 6 is 6.
The face value of 6 is 6.

Example 4.
Find the place value of the number 96435 in the expanded form.
Solution:
Let us find the place value of the number using expanded form.
96435 can be written as 90000 + 6000 + 400 + 30 + 5
The place value of 9 is 90000 since it is in ten thousands place.
The place value of 6 is 6000 since it is in the thousands place.
The place value of 4 is 400 since it is in the hundreds place.
The place value of 3 is 30 since it is in the tens place.
The place value of 5 is 5, since it is in ones place.

Example 5.
Express the given number in place value and face value 43642 in the expanded form.
Solution:
Let us find the place value and face value of the number using expanded form.
43642 can be written as 40000 + 3000 + 600 + 40 + 2
The place value of 4 is 40000 since it is in ten thousands place.
The place value of 3 is 3000 since it is in the thousands place.
The place value of 6 is 600 since it is in the hundreds place.
The place value of 4 is 40 since it is in the tens place.
The place value of 2 is 2, since it is in ones place.
In the same way, write the face value for the given five digit number the face value of 4 is 4, the face value of 3 is 3, the face value of 6 is 6, the face value of 4 is 4, the face value of 2 is 2.

### FAQs on Expressing Face Value and Place Value

1. How do you explain place value and face value?

A Place value describes the position or place of a digit in a given number. The face value of a digit describes the value of the digit itself.

2. What is the face value of 5 in 656?

The face value of 5 in 656 is 5.

3. Is place value and face value the same?

Place value and face value are always equal at ones place. The face value of a number is the value of the digit or numeral itself.