# Place Value and Face Value

Learn the easiest way to understand the basic concept on place value and face value in the second grade.

Suppose we write a number in figures 435 in words we write four hundred thirty five.

Thus,  435 means   4 hundreds   3 tens   and   5 ones  =   400   +   30   +   5

We write the expanded form of the numbers as 435     =   400   +   30   +   5

Hence, in the number 435, the place value of 4, 3 and 5 are 400, 30 and 5 respectively.

In place value and face value let us first understand the concept of place value of the concerned digits by following the examples.

(i) 350 means:   3 hundreds    5 tens   and   0 ones   =   300   +   50   +   0

350    =   300   +   50   +   0

In the number 350, the place value of 3, 5 and 0 are 300, 50 and 0 respectively.

(ii) 602 means:    6 hundreds    0 tens   and   2 ones   =  600   +    00   +    2

602      =  600    +   00   +    2

In the number 602, the place value of 6, 0 and 2 are 600, 00 and 2 respectively.

(iii) 278 means:

2 hundreds   7 tens  and   8 ones   =   200   +   70    +    8

278    =   200   +   70    +    8

In the number 278, the place value of 2, 7 and 8 are 200, 70 and 8 respectively.

(iv) 777 means:   7 hundreds   7 tens   and  7 ones   =   700    +   70     +   7

777      =      700   +  70     +   7

In the number 777, the place value of 7, 7 and 7 are 700, 70 and 7 respectively.

(v) 63 means:    0 hundreds    6 tens   and   3 ones    =   000   +   60   +    3

63       =   000   +   60   +    3

In the number 63, the place value of 0, 6 and 3 are 000, 60 and 3 respectively.

Therefore, the place value of a digit in a number is the value of the place which it has in the number.

In the number 549, the place value of 5 is 500, of 4 is 40 and 9 is 9 as 5 occupies the place of hundreds, 4 occupies the place of tens and 9 occupies the place of ones or unit in the given number 549.

We know the digit in a number occupy the place of ones, tens, hundreds, thousands, etc. from extreme right to left and have the value of that place.

The original value of a digit is called its face value.

In the number 385 the place value of 3 is 300 and its face value is 3,

the place value of 8 is 80 and its face value is 8,

the place value of 5 is 5 and its face value is 5.

Therefore, in any number its important to know the place value and face value of a concerned digit.