Question

Difference between two rational numbers is rational if

A) The numerator is even
B) The denominator is prime
C) Both numbers are positive
D) The denominator is not zero

Answer 1

The difference between two rational numbers is always rational if the numerator is even and the denominator is not zero.

Step-by-step explanation:

A difference between two rational numbers is always rational. This means that the result of subtracting two rational numbers will always be a rational number.

To determine whether the difference of two rational numbers is rational, we can look at the properties of rational numbers. Rational numbers can be written as fractions, where the numerator and denominator are integers. The properties of rational numbers include:

• The numerator can be even (option A).
• The denominator cannot be zero (option D).

Therefore, the correct options are A) The numerator is even and D) The denominator is not zero.