How are integers and rationals numbers different?

Answer 1

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1.

5 is an integer, 2/3 is a fraction, both are rational.

Answer 2

Integers consist of natural numbers(1, 2, 3,...), zero and the negative natural numbers(-1, -2, -3,...). 1, 2, 3 etc are positive integers and -1, 2, -3 etc are negative integers. Whereas rational numbers consist of integers as well as numbers in the form of p/q where p and q are integers and q is not equal to zero.

So the main difference formed is:-

Every integer is a rational number but every rational number is not an integer.

Answer 3

Rational numbers can be written as a fraction integers include both positive and negative numbers.

Answer 4

All integers are rational numbers, not all rational numbers are integers.

Answer 5

An integer, in its simplest form as a rational number, must have a denominator of 1.