Face and Place Value

Face Value and Place Value – Definition, Properties, Examples | Difference Between Face Value and Place Value

Are you confused about place values and face values of digits in a number? Here you can have ample knowledge on place values and face values. Find Definition of Place Value and Face Value, its  Properties. You can also check the solved examples of place values and face values for a better understanding of the concept. By the end of this article, we are sure you will get a complete idea of What is meant by Face Value and Place Value and their basic differences.

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Place Value – Definition

In a number, every digit has a place value. Place value is defined as the value represented by a digit in a number on the basis of its position. In a number, the position of a digit starts from one’s place. The order of place value of digits in a number from right to left are units, tens, hundreds, thousands, ten thousand’s, Lakhs, and so on. A number is formed by grouping the digits together.

Example of Place Value:

In 8456,8 is in the thousands place and its place value is 8000.

4 is in the hundreds place and its place value is 400.

5 is in the tens place and its place value is 50.

6 is in one place and its place value is 6.

Place values of digits help us write numbers in expanded form. For example, expanded form of a number above

8456 is 8000+400+50+6.

The place value chart can help us find the place value of a number. Place value tells us how much each digit stands for.

Millions Hundred Thousand Ten thousand Thousands Hundreds Tens Ones
4 3 8 6 3 7 9

In 4386379,

Place value of 4=4000000

Place value of 3=300000

Place value of 8=80000

Place value of 6=6000

Place value of 3=300

Place value of 7=70

Place value of 9=9

Properties of Place Value

  • The place value or face value of a one-digit number is the same. The place value and the face value of 1, 2, 3, 4, 5, 6, 7, 8, 9 are 1, 2, 3, 4, 5, 6, 7, 8, 9.
  • The place value of zero is always zero. Zero may be placed at any place value in the number, the value is always zero. For Example:  In the numbers 10, 108, 250, 3067 the place value of zero is zero.
  • In a two-digit number, the place value of a ten-place digit is equal to ten times the digit. Example: The place value of 5 in 53 is 5*10=50

Place Value of a Number Examples

1. The place value of 3 in 235 is 3*10=30

2. In the number 523,  digit 3 is at one place, digit 2 is at tens place, and digit 5 is at hundreds of places.

So the place value of 3 is 3, 2 is 2*10=20, 5 is 5*100=500.

Place Value of the Digit =(Face Value of the Digit)*(Value of the Place)

Thus for the place value of the digit, the digit is multiplied by the face value and value of that place.

Place Value and Face Value Questions

Example 1:

In the number 345, find the place values of digits?

The place value of 5 is 5

The place value of 4 is 4*10=40

The place value of 3 is 3*100=300

Example 2:

In the number 5678, find the place values of digits?

Solution:

The place value of 8 is 8

The place value of 7 is 7*10=70

The place value of 6 is 6*100=600

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

Example 3:

In the number 83241, find the place value of digits?

Solution:

The place value of 1 is 1

The place value of 4 is 4*10=40

The place value of 2 is 2*100=200

The place value of 3 is 3*1000=3000.

The place value of 8 is 8*10000=80000.

Example 4:

Write the place values of given numbers

  1. 3 in 56321
  2. 5 in 2578
  3. 8 in 86731?

Solution:

The given number is 56321

The place value of 3 in 56321 is 3*100=300.

The place value of 5 in 2578 is 5*100=500.

The place value of 8 in 86731 is 8*10000=80000.

Example 5:

Write the place values of given numbers

  1. 8 in 12386
  2. 1 in 7178
  3. 8 in 8336731?

Solution:

The place value of 8 in 12386 is 8*10=80.

The place value of 1 in 7178 is 1*100=700.

The place value of 8 in 2578 is 8*1000000=80,00000.

Example 6:

1. What is the Digit at thousands place in 5234?

2. What is the Digit at lakhs place in 152340?

3. What is the Digit at hundreds Places in 630?

Solution:

  1. In 5234,4 is at units place,3 is at tens place, 2 is at hundreds places, and 5 is at thousands place. So digit at thousands place is 5.
  2. In 152340, 0 is at units place,4 is at tens place,3 is at hundreds place, 2 is at thousands place,5 is at ten thousand place,1 is at lakhs place. So digit at lakhs place is 1.
  3. In 630, 0 is at units place, 3 is in the tens place and 6 is in the hundreds place.

FAQ’s on Place Value and Face Value

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

Face value means an exact value of a digit in the number. Place value means the position of a particular digit in the number.

2. How do you represent the place values of digits?

Place values of digits are represented by units,  tens, hundreds, thousands, ten thousands, Lakhs, and so on.

3. What is the place value of digit 5 in 25461?

The place value of digit 5 in 25461 is thousands.

4. What is the face value of 7?

Face value of 7 is 7.

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