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.
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