Question

0 is the smallest rational number true or false with explanation​

Answer 1

Answer:

FALSE

Step-by-step explanation:

Every natural number is a rational number but every rational number need not be a natural number. are on the opposite sides of zero on the number line. ... Zero is the smallest rational number.

BUT

If you are considering the all the rational numbers, then NO. There are numbers behind(or to the left) of zero in the number line(negative rational numbers). Hence zero is not the smallest rational number.

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Answer 2

The Statement that 0 is the smallest rational number is False.

Explanation:

• We know, Rational Numbers are those numbers which can be expressed in the form $\frac{p}{q}$, where $p\ and\ q$ are integers and $q\neq 0$.

• Therefore, every integer is a rational number, for it can be expressed in the form $\frac{p}{q}$, where $p\ and\ q$ are integers and $q\neq 0$. For example: $\frac{-8}{1} ,\frac{5}{1} ,\frac{-17}{1} etc.$

• Hence, the smallest rational number is the smallest integer expressed in the form $\frac{p}{q}$. ( $q\neq 0$)
• We know that smallest integer is not 0 rather the negative ∞.

Therefore, the given statement is False