What is the difference between place value and face value of 8 in 8674...
Place Value:
The place value of a digit in a number refers to the value of the digit based on its position in the number. Each digit holds a different place value depending on its position, whether it is in the ones, tens, hundreds, thousands, etc. place.
In the number 86749, the place values of the digits are as follows:
- 8 is in the ten-thousands place.
- 6 is in the thousands place.
- 7 is in the hundreds place.
- 4 is in the tens place.
- 9 is in the ones place.
Face Value:
The face value of a digit in a number refers to the actual value of the digit itself, regardless of its position in the number. It is the value that the digit represents.
In the number 86749, the face value of the digit 8 is simply 8.
Difference between Place Value and Face Value of 8 in 86749:
To find the difference between the place value and face value of 8 in 86749, we subtract the face value from the place value.
The place value of 8 in 86749 is 8 x 10,000 = 80,000.
The face value of 8 in 86749 is 8.
Therefore, the difference between the place value and face value of 8 in 86749 is 80,000 - 8 = 79,992.
Hence, the correct answer is option 'C' - 79,992.
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