Question

To which subset of real numbers does the number 1/3 belong?

Answer 1

The subset of real numbers that the number 1/3 belongs is to the rational numbers. These numbers  is a number that can be written as a ratio. The numerator and the denominator of the fraction are both integers.

Step-by-step explanation:

Answer 2

$\dfrac{1}{3}$   belongs to the subset "Rational number( $\mathbb Q$ )" of Real numbers $\mathbb R$.

Or

$\dfrac{1}{3} \in \mathbb{Q} \subset \mathbb R$

Given that:

To find in which subset of real numbers does  $\dfrac{1}{3}$   belong.

Explanation:

In technical terms, there can be infinite subsets of real numbers in which  $\dfrac{1}{3}$  can belong to.

But, the set of real numbers is divided into some special subsets viz. rational numbers. irrational numbers, integers, non integers etc..

Since the given number is expressed in the form of  $\dfrac{m}{n}$ which are called rational numbers, thus given number  $\dfrac{1}{3}$ belongs to rational numbers.

The set of rational numbers is denoted by $\mathbb Q$

The set of real numbers is denoted by $\mathbb R$.

Thus, we can express our result symbolically as:

$\dfrac{1}{3} \in \mathbb{Q} \subset \mathbb R$

Learn more about rational numbers here:

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