0.3333… is a/an ______________(a) natural number(b) whole number(c) rational number(d) irrational numberI had been asked this question during an internship interview.This intriguing question originated from Real Numbers and their Decimal Expansions topic in division Number Systems of Mathematics – Class 9

0.3333… is a/an ______________(a) natural number(b) whole number(c)

1.	0.3333… is a/an ______________(a) natural number(b) whole number(c) rational number(d) irrational numberI had been asked this question during an internship interview.This intriguing question originated from Real Numbers and their Decimal Expansions topic in division Number Systems of Mathematics – Class 9
Answer» CORRECT option is (c) rational number The explanation: LET 0.333…=x Then, 10x=3.33333… 10x=3 + 0.333… 10x=3 + x 9x=3 Then, x=3/9=1/3 This is of the form p/q where p and q are natural numbers. Hence by definition, 0.3333…. is a rational number. Another METHOD: Decimal expansion of rational numbers is either terminating or non-terminating and recurring (repeating). As we can SEE that 0.3333… is non-terminating and recurring so it is a rational number.

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