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One must understand the difference between Place value and Face value. There are certain key differences between them based on the Placement of digits for a given number and related terminologies.
The following table lists the key differences between Place value and Face value:
|
Place value |
Face value |
|
A Place value describes the position or Place of a digit in a given number. |
The Face value of a digit describes the value of the digit itself. |
|
Each digit of the number has a value depending on its Place. |
It does not depend on the position or Place of the digit in a number. |
|
Place value of digit = (Face value) × (numerical value of Place) |
Face value of digit = numerical value of the digit itself. |
|
The Place value of digit 0 in a given number is always 0. |
The Place value of digit 0 is 0. |
|
Example: The Place value of digit 8 in 5,831 = 8 × 100 = 800. |
Example: The Face value of digit 8 in 5,831 = 8 |
Solved Example:
Q.1. Find the Face value and Place value of each digit of 80,156.
Solution:
The Face value of 6 in 80,156 = 6.
The Place value of 6 in 80,156 = 6 × 1 = 6.
The Face value of 5 in 80,156 = 5.
The Place value of 5 in 80,156 = 5 × 10 = 50.
The Face value of 1 in 80,156 = 1.
The Place value of 1 in 80,156 = 1 × 100 = 100.
The Face value of 0 in 80,156 = 0.
The Place value of 0 in 80,156 = 0 × 1,000 = 0.
The Face value of 8 in 80,156 = 8.
The Place value of 8 in 80,156 = 8 × 10,000 = 80,000.
Q.2. Find the product of Place value of 3 in 1,431 and Place value of 5 in 5,001.
Solution:
The Place value of 3 in 1,431 = 3 × 10 = 30.
And, the Place value of 5 in 5,001 = 5 × 1,000 = 5,000.
Therefore, their product = 30 × 5000 = 1,50,000.
Sample Question Paper
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