The expanded form of a number should be recalled before it is proceeded with face value and place value of a numeral. The expanded form for 532 is 500 + 30 + 2, which is read as five hundred and thirty two.
Similarly, 796 = 700 + 90 + 6, which is read as seven hundred ninety six
2945 = 2000 + 900 + 40 + 5 = Two thousand nine hundred forty five.
For example, similar numbers can be written in their expanded from and read accordingly.
The digits present in a number is used to express the value of these numbers and is given in expanded form, which is read out loud in words. The value of a digit when expressed in their expanded version form the numbers is termed as the place value of the number.
The place value of 3 is 300 (three hundred)
The place value of 7 is 70 (seventy)
The place value of 6 is 6 (six)
The place value of 5 is 5000 ( five thousand)
The place value of 2 is 200 (two hundred)
The place value of 6 is 60 (sixty)
The place value of 8 is 8 (eight)
Thus, the place value of a digit or a number is known as the value, which it holds to be at the position in the number. For instance, 5 is at thousand place in a number, the place value for 5 will be 5000, if it is at hundred-place, the value will be 500 and so on.
The number 2136, 2 is at thousands place, 1 is at hundreds place, 3 is at ten’s place and 6 is at one’s place. So, the place value of the digits 2, 1, 3 and 6 are 2000, 100, 30 and 6 respectively.
The face value of a digit is the digit self, at any place it may be situated. The face value of a number is unchangeable and definite, but the face value of a number changes based on the position the digit is placed.
For example, to find the face value and place value of 3673,
Face value of 3 is 3 and place value of 3 is 3
Face value of 7 is 7 and place value of 7 is 70
Face value of 6 is 6 and place value of 6 is 600
Face value of 3 is 3 and place value of 3 is 3000
The face value and the place value of zero (0) is always (0).
Based on Abacus, let’s see the value of the number 424,
Here, 4 beads are at H place ( hundred’s place)
2 beads are at T place (ten’s place)
4 beads are at one’s place,
Therefore, the number = 400 + 20 + 4 = 424
Now, knowing both the face value and place value of a digit it is easier to ascertain the total value of a number,
The face value of 4 is 4 and place value of 4 is 400,
The face value of 2 is 2 and place value of 2 is 20,
The face value of 4 is 4 and place value of 4 is 4,
So, 424 = 400 + 20 + 4 where, it is read as four hundred, twenty and four or four hundred twenty four.
Digits in mathematics have a number has a place value, where it is defined as the value that represents a digit in a number based on the position of the number.
Let us consider another number 14396,
Place value of 1 = 10000
Place value of 4 = 4000
Place value of 3 = 300
Place value of 9 = 90
Place value of 6 = 6
Thus, in 14396, 1 is in ten thousands place and the place value of 1 is 10000
4 is in thousands place and the place value is 4000
3 is in hundreds place and the place value is 300
9 is in tens place and the place value is 90
6 is in one’s place and the place value is 6,
Realizing the place value of digits in numbers is of prime importance to understand a number in the expanded form. For instance, the expanded form of the number above 14396 is 10000 + 4000 + 300 + 90 + 6.
The face value in Mathematics is the value of a digit present in a number. It is known that every number consists of digits which can be single digits, double digits triple digits or more than that.
The examples to easily understand face value is,
Let us take a number 3421 where we have digits 3, 4, 2 and 1 in this number,
So, the face value can be written as,
3 is 3
4 is 4
2 is 2
1 is 1.
There is a difference between the place value and face value in a digit. Face value of a digit is the digit itself and single digits, there can be ten digits or more than ten digits, but numerals are only used from 0 to 9, where each numeral used has a face value, place value and a place.
Using ten base numerals, the numbers can be shown as, in the number 325,
2 is at place ten with a face value 2 and place value of 20. In the number 432, 3 is at place ten with a face value 3 and place value of 30.
This part is used for learning face value and place value of a particular digit in the given number, and the place value of a particular digit in the given number.
Place value of a digit, in a number is the digit multiplied by thousand or hundred or the position it is situated in,
In 25485, the place value of 5 is 5 *1000 = 5000,
Here, to procure the place value of 5, we multiply 5 by 1000, because 5 is situated in thousands place.
In 25485, the face value of 5 is 5.
As per the first batch, the location of “5” in 25485 is thousands place, where it can be given the place value is given as 5000.
There are certain easier ways to find the place value, let us consider the number 2586792, where the place value of 8 is needed, start by counting the number of digits, which come after the digit for the one the value is needed to be found, in 2586792, after 8 there are four digits “6792”. Because, there are four digits (6792), after 8, take four zeros after 8, where we get 80000, which is the place value of 8.
To find face and place value,
In the number above, the face value of 6 is 6,
To get the place value, there is a need to count the number of digits after 6, since, there is one digit after 6, so the place value of 6 is 60.
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