Can integers be natural and rational number or only rational numbers?

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Solution

Every integer is a rational number as they can be represented in form $\frac{p}{q}$ .
Natural numbers are counting numbers, so every rational number is not natural number.
For example $\frac{2}{3}$ is not natural number but it is rational number.

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Similar questions

Between any two numbers, there can be an infinite number of____.

(i) natural numbers
(ii) whole numbers
(iii) integers
(iv) rational numbers

All Natural numbers, Whole numbers and Integers are rational numbers.

State whether the following statements are true or false:

(a) The set of all even natural numbers is a infinite set.

(b) Every non-empty subset of has the smallest element.

(d) For each rational number, one can find the next rational number.

(e)There is no largest rational number.

(f) Every integer is either even or odd.

(g) Between any two rational numbers, there is an integer.

How to find out the rational number of integers between 2 rational numbers only through the means of integers and LCM and not through midpoints.

Eg: Find 3 rational numbers between 0 and 1 only through the means of integers and LCM

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