Find five irrational numbers between 2/5 and 3/5

Question

Find five irrational numbers between 2/5 and 3/5

in progress 0
Reagan 2 weeks 2021-09-14T13:11:20+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-14T13:12:30+00:00

    We have been asked to find 5 irrational numbers between \tt{\dfrac{2}{5} and\ \dfrac{3}{5}}.

    Irrational numbers :

    • Numbers that cannot be written in p by q form.
    • They are non terminating i.e the quotient never ends
    • They are non recurring i.e the digits in the quotation are never repeating.

    To find two irrationals between two given fractions ; we need to follow the given steps :

    1. Simplify the fractions
    2. After simplification ; we can take any numbers that lie between the two numbers we have got.

    Following the information above ; we will solve the given problem.

    \longrightarrow{\tt{ \dfrac{2}{5}}}

    \longrightarrow{\tt{\cancel{\dfrac{2}{5}} \implies 0.4}}

    \longrightarrow{\tt{\dfrac{3}{5}}}

    \longrightarrow{\tt{\cancel{\dfrac{3}{5}} \implies 0.6}}

    Now , we can take any numbers ranging from 0.4 to 0.6 with respect to the fact that we have to take numbers that are non recurring.

    Eg :

    1. 0.4173748957439384
    2. 0.53728299284878
    3. 0.491637383486273940571
    4. 0.5918262737
    5. 0.5263894944
    6. 0.5374748849
    0
    2021-09-14T13:13:09+00:00

    Answer:

    2/5=0.4

    3/5=0.6

    An Irrational number is non terminating and non repeating

    0.10100100010000….

    0.120120012000120000….

    0.350350035000350000….

    0.410410041000410000….

    0.560560056000560000….

    Hope it helps you!

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )