Question

To which subset of real numbers does the number 30/15 belong?a. rational numbersb. irrational numbersc. whole numbers, integers, rational numbersd. whole numbers, natural numbers, integers

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given number

`(30)/(15)`

STEP 2: Define the numbers given

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions.

Whole numbers is a collection of all the basic counting numbers and 0.

Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose.

An integer is colloquially defined as a number that can be written without a fractional component. An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero

STEP 3: Decide the numbers

`\begin{gathered} (30)/(15)=2 \\ (30)/(15)=rational\text{ }numbers \\ 2=whole\text{ }number,integer \end{gathered}`

Hence, the answers are given as whole numbers, natural numbers, integers​