Write
number with respect to place value expansion.
Let us recall the expanded form
of a number.
The expanded form of 534 is 500 +
30 + 4
We read it as five hundred and
thirty four.
Similarly,
2936 = 2000 + 900 + 30 + 6 = Two
thousand nine hundred and thirty six.
The digits of a number express the
values of their own when the number is given in expanded form and read in
words.
In the number 5269
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 valued of 9 is 9 (nine)
Thus, the place value of a digit
in a number is the value it holds to be at the place in the number. If 5 is at
Thousandth place in a number, its value will be 5000, if it is at Hundredth
place, its value will be 500, etc.
The face value of digit is the
digit itself, at whatever place it may be. It is unchangeable and definite. But
place value changes according to the digit‛s place.
Place value of a digit = Face value of the digit × value of the place
EXAMPLE
In the number, 2745.
Place value of 5 = 5 × 1 = 5
ones, face value of 5 is 5.
Place value of 4 = 4 × 10 = 40 =
4 tens, face value of 4 is 4.
Place value of 7 = 7 × 100 = 700
= 7 hundreds, face value of 7 is 7.
Place value of 2 = 2 × 1000 =
2000 = 2 thousands; face value of 2 is 2.
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