Question
Why is the number 19/100 a rational number?
Answers
GPT-4o mini
The number \( \frac{19}{100} \) is considered a rational number because it can be expressed as a fraction where both the numerator (19) and the denominator (100) are integers, and the denominator is not zero.
By definition, a rational number is any number that can be expressed in the form \( \frac{a}{b} \), where:
- \( a \) and \( b \) are integers
- \( b \neq 0 \)
In the case of \( \frac{19}{100} \):
- The numerator \( a = 19 \) is an integer.
- The denominator \( b = 100 \) is also an integer and it is not zero.
Since both conditions for rational numbers are satisfied, \( \frac{19}{100} \) is indeed a rational number.
By definition, a rational number is any number that can be expressed in the form \( \frac{a}{b} \), where:
- \( a \) and \( b \) are integers
- \( b \neq 0 \)
In the case of \( \frac{19}{100} \):
- The numerator \( a = 19 \) is an integer.
- The denominator \( b = 100 \) is also an integer and it is not zero.
Since both conditions for rational numbers are satisfied, \( \frac{19}{100} \) is indeed a rational number.