We're glad you stopped by Which of the following is a rational number a π b 3 c 4 2 d None of these Answer 4 2 is a rational. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To determine which of the given options is a rational number, let's first define what a rational number is.
A rational number is any number that can be expressed as the quotient or fraction [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are integers and [tex]q \neq 0[/tex]. Rational numbers can be either terminating decimals (a decimal with a finite number of digits) or repeating decimals (a decimal with a pattern that repeats indefinitely).
Let's evaluate each option:
[tex]\pi[/tex]: This is an irrational number because it is a non-repeating, non-terminating decimal. It cannot be expressed exactly as a fraction of two integers.
[tex]\sqrt{3}[/tex]: This is also an irrational number. The square root of 3 cannot be simplified to a ratio of two integers and has a non-repeating, non-terminating decimal expansion.
4.2: This is a terminating decimal and can be written as a fraction [tex]\frac{42}{10}[/tex] or further simplified to [tex]\frac{21}{5}[/tex]. Since it can be expressed as a fraction of integers, it is a rational number.
Therefore, the correct option is (c) 4.2.
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