The difference of the place value and the face value of 5 in 26549 is :
495
Understanding Place Value and Face Value
To solve this problem, we need to understand the concepts of place value and face value of a digit within a number.
- Face Value: The face value of a digit in a number is the digit itself. It is the value of the digit regardless of its position in the number.
- Place Value: The place value of a digit in a number is the value of the digit based on its position in the number. It is calculated by multiplying the face value of the digit by the value of the place (ones, tens, hundreds, thousands, etc.) it occupies.
Finding the Place Value of 5 in 26549
The given number is 26549. We need to find the place value and face value of the digit 5.
Let's look at the position of each digit in the number 26549:
| Digit | Place | Value of Place |
|---|---|---|
| 9 | Ones | $\text{10}^0 = 1$ |
| 4 | Tens | $\text{10}^1 = 10$ |
| 5 | Hundreds | $\text{10}^2 = 100$ |
| 6 | Thousands | $\text{10}^3 = 1000$ |
| 2 | Ten Thousands | $\text{10}^4 = 10000$ |
The digit 5 is in the Hundreds place.
The place value of 5 is calculated as:
Place Value = Face Value $\times$ Value of the place
Place Value of 5 = $5 \times 100 = 500$
Finding the Face Value of 5 in 26549
The face value of a digit is the digit itself.
The face value of the digit 5 in the number 26549 is simply 5.
Calculating the Difference
The question asks for the difference between the place value and the face value of 5 in 26549.
Difference = Place Value of 5 - Face Value of 5
Difference = $500 - 5$
Difference = $495$
The difference between the place value and the face value of 5 in 26549 is 495.
Important Questions from Number System
What is the value of 1 2 + 2 2 + 3 2 + ......21 2 ?
Find the greatest number which divides 36, 64 and 92 in such a way that in each case same remainder is left.
Which sequence is correct to represent the hierarchical chain of number system?
(Where N - Natural Numbers
W - Whole Numbers
Q - Rational Numbers
Z - Integers)
What must be added to 45680 to make it exactly divisible by 9?
How many zeroes are there at the end of the following product?
1 x 5 x 10 x 15 x 20 x 25 x 30 x 35 x 40 x 45 x 50 x 55 x 60
