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Place Value and Face Value
FACE VALUE AND PLACE VALUE OF A DIGIT IN A NUMERAL
Face Value: The face value of a digit in a numeral is the actual value of a digit at whatever place it may be.
Place Value: The place value of a digit in a numeral depends on the position it occupies in a numeral.
Let us consider the numeral 675:
Arrange the digits of 675 in the place value chart as shown below:
H
T
O
6
7
5
From the place value chart, we have:
The place value of 6 = 6 hundreds
= 600; the face value of 6 = 6,
The place value of 7 = 7 tens
= 70; the face value of 7 = 7,
The place value of 5 = 5 ones
= 5; the face value of 5 = 5.
Note:
The place value of 0 is always zero, irrespective of its place in the numeral. For example, the place value of 0 in 609 and 805 is 0 in each case.
Let us look at the digits 1 and 2.
|
The digit 1 represents one object |
 |
|
The digit 2 represents two objects |
 |
We know that digit 2 is greater than the digit 1 or 2 > 1.
With the digits 1 and 2 we can make the numbers 12 and 21.
Face value is the value of a digit in a number.
So, the digit 1 has the same face value in both the numbers `12 and 21.
Similarly, the digit 2 has the same face value in the numbers 12 and 21.
Therefore, the face value of a digit always remains the same.
Face Value of a Number Video
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We write 12 and 21 by using ones and tens as:
In the number 12, the value of 2 (i.e., 2 ones) is less than the value of 1 (i.e., 1 ten)
In the number 21, the value of 2 (i.e., 2 tens) is greater than the value of 1 (i.e., 1 one)
In both the numbers 12 and 21 there value is different this is because of its place value.
Place value of a digit is the value of a digit because of its place in a number.
Similarly, the digit 3 and 7 can be used to make the number 37 and 73.
Place Value of a Number Video
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Let us look at the example to understand the difference of face value and place value.
Face value and place value of the digits are coloured in red.
|
Number 18 18 36 36 71 71 52 52 43 43 68 68 81 81 |
Face value Place value 1 1 ten or 10 8 8 ones or 8 3 3 tens or 30 6 6 ones or 6 7 7 tens or 70 1 1 one or 1 5 5 tens or 50 2 2 ones or 2 4 4 tens or 40 3 3 ones or 3 6 6 tens or 60 8 8 ones or 8 8 8 tens or 80 1 1 one or 1 |
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.
Place Value and Face Value of a Number Video
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Worksheet on Place Value and Face Value
Questions and Answers on Place Value and Face Value:
1. Fill in the blanks. One has been done for you.
(i) 1 ten = 10 ones
(ii) 2 tens = __________
(iii) 3 tens = __________
(iv) 4 tens = __________
(v) 5 tens = __________
(vi) 6 tens = __________
(vii) 7 tens = __________
(viii) 8 tens = __________
(ix) 9 tens = __________
Word Problem on Face Value Video
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2. Write the place value of all the digits in the following numbers.
|
|
Number |
Face Value |
Place Value |
3. Write the place value of the coloured digits. One has been done for you.
|
(i) |
725 |
2 tens or 20 |
|
(ii) |
425 |
_______________ |
|
(iii) |
806 |
_______________ |
|
(iv) |
219 |
_______________ |
|
(v) |
423 |
_______________ |
|
(vi) |
990 |
_______________ |
|
(vii) |
341 |
_______________ |
|
(viii) |
889 |
_______________ |
Word Problems on Combination of Place Value and Face Value Video
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4. Write the face value of each digit in the numeral 785:
(i) Face value of 7 = _____
(i) Face value of 8 = _____
(i) Face value of 5 = _____
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