Which of the following is an irrational number? Choices: (A)3/5 (B)1/3 (C)–3 (D)𝜋

Convert to Decimal: Step 1: Analyze option (A) 3/5. 3/5 is a fraction that can be expressed as a decimal that terminates (0.6).Fraction Analysis: Step 2: Analyze option (B) 1/3. 1/3 is a fraction that results in a repeating decimal (0.333...).Integer Analysis: Step 3: Analyze option (C) –3. –3 is an integer, and all integers are rational numbers because they can be expressed as a fraction (–3/1).Irrational Number: Step 4: Analyze option (D) 𝜋. 𝜋 (Pi) is known to be an irrational number because it cannot be expressed as a fraction and its decimal representation is non-terminating and non-repeating.

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Which of the following is an irrational number? $\newline$ Choices: $\newline$ (A) $\frac{3}{5}$ $\newline$ (B) $\frac{1}{3}$ $\newline$ (C) $-3$ $\newline$ (D) $\pi$

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Q. Which of the following is an irrational number?

\newline

Choices:

\newline

(A)

\frac{3}{5}

\newline

(B)

\frac{1}{3}

\newline

(C)

-3

\newline

(D)

\pi

Convert to Decimal: Step $1$ : Analyze option $A$ $\frac{3}{5}$ . $\frac{3}{5}$ is a fraction that can be expressed as a decimal that terminates ( $0.6$ ).
Fraction Analysis: Step $2$ : Analyze option $B$ $\frac{1}{3}$ . $\frac{1}{3}$ is a fraction that results in a repeating decimal ( $0.333\ldots$ ).
Integer Analysis: Step $3$ : Analyze option $C$ $–3$ . $\newline$ $–3$ is an integer, and all integers are rational numbers because they can be expressed as a fraction $\frac{–3}{1}$ .
Irrational Number: Step $4$ : Analyze option $(D) \pi$ . $\pi$ (Pi) is known to be an irrational number because it cannot be expressed as a fraction and its decimal representation is non-terminating and non-repeating.