Answer :
To determine which of the given options is an example of a rational number, let's first define what a rational number is.
A rational number is any number that can be expressed as the quotient or fraction \( \frac{p}{q} \) of two integers, where \( p \) (the numerator) and \( q \) (the denominator) are integers and \( q \neq 0 \).
Now let's examine each of the options provided:
Option A) VE
- "VE" is not a numerical value. It is not a number at all, let alone a rational number.
Option B) 8
- The number 8 is an integer, which can be written as the fraction \( \frac{8}{1} \). Since both 8 (numerator) and 1 (denominator) are integers and the denominator is not zero, 8 is a rational number.
Option D) 3.8362319...
- The number 3.8362319... appears to be a decimal with a non-repeating, non-terminating sequence. Such decimals are considered irrational because they cannot be expressed as a simple fraction of two integers.
Given this analysis, we conclude that the only rational number from the options provided is Option B) 8.
Therefore, the correct answer is:
Option B: 8
A rational number is any number that can be expressed as the quotient or fraction \( \frac{p}{q} \) of two integers, where \( p \) (the numerator) and \( q \) (the denominator) are integers and \( q \neq 0 \).
Now let's examine each of the options provided:
Option A) VE
- "VE" is not a numerical value. It is not a number at all, let alone a rational number.
Option B) 8
- The number 8 is an integer, which can be written as the fraction \( \frac{8}{1} \). Since both 8 (numerator) and 1 (denominator) are integers and the denominator is not zero, 8 is a rational number.
Option D) 3.8362319...
- The number 3.8362319... appears to be a decimal with a non-repeating, non-terminating sequence. Such decimals are considered irrational because they cannot be expressed as a simple fraction of two integers.
Given this analysis, we conclude that the only rational number from the options provided is Option B) 8.
Therefore, the correct answer is:
Option B: 8
