Question

Which on the following number lies between \(\frac{3}{10}\) and \(\frac{3}{10000}\).

(a) \(\frac{3}{1000}\)

(b) \(\frac{3}{10000}\)

(c) \(\frac{3}{100000}\)

(d) \(\frac{3}{1000000}\)

The question was posed to me in my homework.

This intriguing question originated from Rational Numbers Between Two Rational Numbers in chapter Rational Numbers of Mathematics – Class 8

Answer 1

The correct option is (a) \(\frac{3}{1000}\)

The explanation is: The given fractional numbers represents \(\frac{3}{10}\) = 0.3 and \(\frac{3}{10000}\) = 0.00003

Our options are in fractions, converting it into decimal form we get,

\(\frac{3}{1000}\) = 0.0003

\(\frac{3}{10000}\) = 0.00003

\(\frac{3}{100000}\) = 0.000003

\(\frac{3}{1000000}\) = 0.0000003.

The only option between 0.3 and 0.00003 is \(\frac{3}{1000}\) i.e. 0.0003.