Why is the number 19/100 a rational number?

Question

A. It is the quotient of 100 divided by 19.
B. It is the quotient of 10 divided by 9.
C. It is the quotient of 19 divided by 100.
D. It is the quotient of 9 divided by 10.

Answer 1

A rational number is defined as a number that can be expressed as the quotient of two integers, where the denominator is not zero.

In the case of \( \frac{19}{100} \):

• 19 is an integer (the numerator).
• 100 is an integer (the denominator) and is not zero.

Since \( \frac{19}{100} \) fits the definition of a rational number as it is expressed as the quotient of two integers, the correct answer is:

C. It is the quotient of 19 divided by 100.