Question

find two rational numbers of the form p/q between the numbers 0.2121121112... and 0.2020020002.…..

Answer 1

Hi ,

Required two Rational numbers between

0.2121121112.... and 0.202002002... are

0.21 = 21/100

0.211 = 211/100

I hope this helps you.

: )

Answer 2

Answer:  The answer is $\dfrac{21}{100}~~\textup{and}~~\dfrac{211}{1000}/$

Step-by-step explanation:  We are given to find two rational numbers between the numbers 0.2121121112... and 0.2020020002.…..

A rational number is always of the form $\dfrac{p}{q}~q\neq 0$ and p, q are integers.

Let us consider the following two rational numbers:

0.21 and 0.211. Both the numbers lie between 0.2121121112... and 0.2020020002.…..

We have

$0.21=\dfrac{21}{100},\\\\0.211=\dfrac{211}{1000}.$

Thus, the two rationals are $\dfrac{21}{100}~~\textup{and}~~\dfrac{211}{1000}$