Question

What is the relationship between rational numbers and Integers?

Rational Numbers are a subset of Integers because all Rational Numbers are Integers.


There is some overlap between Rational Numbers and Integers, but there are numbers that are just Rational and numbers that are just Integers but not both.


There is no relationship as there are no overlapping numbers.


Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Answer 1

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Explanation:

3 is integer but it can be written as
`(3)/(1) \ or \ (6)/(2),.. etc.` which is rational form. Hence every integer can be express as Rational Number.

Thus the last option is correct.

Further, Integers can be defined as the whole numbers including zero and positive whole numbers. i.e. ......,-3, -2, -1, 0, 1, 2, 3,.....

Example: -546, 87855889, 0, etc.

Rational Number is the number in the form
`(p)/(q)`, where q≠0.

Example:
`(2)/(9), (-1)/(267), (875)/(2), 3, etc.`

Answer 2

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Explanation:

A rational number such as 4/2 is also an integer: 2. A rational number such as 4/3 is not an integer. Hence, integers are a subset of rational numbers.