Write number with respect to place value expansion
The digits of a number express the values of their own when the number is given in expanded form and read in words.
Recall
Let us recall the expanded form of a number.
The expanded form of 534 is:
We read it as five hundred and thirty four.
Similarly,
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.
Place Value Breakdown
In the number 5269
(i) The place value of 5 is 5000 (five thousand)
(ii) The place value of 2 is 200 (two hundred)
(iii) The place value of 6 is 60 (sixty)
(iv) 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.
Key Concepts
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.
EXAMPLE
In the number, 2745.
(i) Place value of 5 = \(5 \times 1 = 5\) ones, face value of 5 is 5.
(ii) Place value of 4 = \(4 \times 10 = 40 = 4\) tens, face value of 4 is 4.
(iii) Place value of 7 = \(7 \times 100 = 700 = 7\) hundreds, face value of 7 is 7.
(iv) Place value of 2 = \(2 \times 1000 = 2000 = 2\) thousands; face value of 2 is 2.