Class 1 – Basic Mathematics


Place Value and Face Value


1. What is a Digit ?


The symbols from 0 to 9 are called digits.


Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9


We use these digits to make different numbers.


Example: 25 is made using the digits 2 and 5.


2. What is Face Value ?


The face value of a digit is its own value.


Ex: 47



  • Face value of 4 = 4

  • Face value of 7 = 7


Face value does not depend on the position of the digit.


3. What is Place Value ?


The place value of a digit is its value according to its position in a number.


Ex: 47



  • 4 is in the tens place → Place value = 40

  • 7 is in the ones place → Place value = 7


Therefore: 47 = 40 + 7


4. Ones and Tens



  • In a two-digit number:

  • Rightmost digit = Ones

  • Digit to its left = Tens


Example: 63



  • 6 is in the tens place → Place value = 60

  • 3 is in the ones place → Place value = 3

  • Therefore: 63 = 60 + 3


5. Hundreds – Three-Digit Numbers



  • In a three-digit number:

  • Rightmost digit = Ones

  • Middle digit = Tens

  • Leftmost digit = Hundreds


Ex: 245



  • 2 is in the hundreds place → Place value = 200

  • 4 is in the tens place → Place value = 40

  • 5 is in the ones place → Place value = 5


Therefore: 245 = 200 + 40 + 5


Note:



  1. Face Value: The digit's own value.

  2. Place Value: The value of a digit according to its position.


Ex: 63



  • Face value of 6 = 6

  • Place value of 6 = 60


Practice Questions


A. Find the Face Value



  1. What is the face value of 4 in 45?

  2. What is the face value of 2 in 72?

  3. What is the face value of 8 in 86?

  4. What is the face value of 5 in 135?


B. Find the Place Value



  1. What is the place value of 4 in 45?

  2. What is the place value of 7 in 72?

  3. What is the place value of 6 in 86?

  4. What is the place value of 3 in 135?


C. Write the Expanded Form



  1. Write the expanded form of 25.

  2. Write the expanded form of 48.

  3. Write the expanded form of 123.

  4. Write the expanded form of 305.


Answer Key


A. Face Value : 1. 4 , 2. 2. 2



  1. 8

  2. 5


B. Place Value


5. 40   6. 70,  7. 6    8. 30


C. Expanded Form




  1. 25 = 20 + 5




  2. 48 = 40 + 8




  3. 123 = 100 + 20 + 3




  4. 305 = 300 + 5



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