Question

The rational number \[\dfrac{0}{7}\]
A. Has a positive numerator
B. Has a negative Numerator
C. Has either a positive or a negative numerator
D. Has neither a positive nor a negative numerator

Answer 1

Hint: A rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to \[\dfrac{p}{q}\] as "the rationals", the field of rationals or the field of rational numbers is usually denoted by a boldface Q.

Complete step by step answer:
Clearly we have the number 0 in the numerator
Actually, zero is neither a negative or a positive number. The whole idea of positive and negative is defined in terms of zero. Negative numbers are numbers that are smaller than zero, and
positive numbers are numbers that are bigger than zero. Since zero isn't bigger or smaller than itself (just like you're not older than yourself, or taller than yourself), zero is neither positive nor negative.

People sometimes talk about the "non-negative" numbers, and what that means is all the numbers that aren't negative, in other words all the positive numbers and zero. So the only difference between the set of positive numbers and the set of non-negative numbers is that zero isn't in the first set, but it is in the second. Similarly, the "non-positive" numbers are the negative numbers together with zero.
Which means that 0 is neither positive nor a negative number and hence option D is the correct option here.

Note:
Here 0 was in the numerator, but do note that 0 in the denominator doesn't make any sense as If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined. are not legal fractions. Their values are all undefined, and hence they have no meaning.