Question

is zero an element of a set of positive rational numbers?

Answer 1

Zero is a rational number, so yes.

Answer 2

but is it a positive rational number

Answer 3

Actually... no it's defined as neither positive or negative.

Answer 4

No. It's the only real number which is neither positive nor negative.

Answer 5

A real number x is positive if and only if
x > 0

This inequality is strict, it's not greater than or equal to, just greater than.

Answer 6

so,if i had a set of rational numbers ,then will 0 be an element of the set?

Answer 7

Rational numbers - yes

Positive rational - no

Answer 8

thank u

Answer 9

No prob. You can express 0 as 0/1, 0/2 etc, which makes it a rational number (able to be expressed as a fraction)