What is the meaning of Place Value and Face Value in Maths

Place value and face value:

The place value of a digit of a number depends upon its position in the number. The face value of a digit of a number does not depend upon its position in the number. It always remains the same wherever it lies regardless of the place it occupies in the number.

Example: Let us see the place value and face value of the underlined digit in the number 1,32,460. The digit 2 in the number 1,32,460 lies in the thousands period (1000) and hence the place value of 2 is 2 thousands (or 2000). The face value of 2 is 2 only.

Expanded form:

When a number is written as the sum of the place values of all the digits of the number, then the number is in its expanded form.

Example: The expanded form of 9,67,480 is as shown below:
9,67,480 = 900000 + 60000 + 7000 + 400 + 80 + 0

Successor: The successor of a given number is the number that just succeeds it, i.e., ‘the number just after’ the given number. It is obtained by adding one (1) to the given number.

Examples

The successor of 5,678 is 5,678 + 1 = 5,679.
The successor of 99,999 is 99,999 + 1
= 1,00,000.

Predecessor: The predecessor of a given number is the number that just precedes it, i.e. ‘the number just before’ the given number. It is obtained by subtracting one (1) from the given number.

Examples