Question

State whether the statement given is true or false.

Zero is the smallest rational number.

• A. True
• B. False

Answer 1

The correct option is B False

Given the statement: “Zero is the smallest rational number”.

Every integer is a rational number and also negative integers are less than $0$, so, $0$ is not the smallest rational number as there are negative integers which are rational numbers less than zero.

For example:$\frac{-8}{1},\frac{5}{1},$ and $\frac{-17}{1}$ etc.
The smallest rational number is equal to the smallest integer in the form $\frac{p}{q}$ where ,$p\mathrm{and}q$ ($q\ne 0$) here know that the smallest integer is negative, not $0$.

Hence, the given statement is “False”.