Question

Brain Test - Lets see the level - Solve this all step by step and get the brainliest!

Answer 1

Step-by-step explanation:

Step-by-step explanation:( ) Ans :- Let x = 0.0101... = 0.01

) Ans :- Let x = 0.0101... = 0.01 .: 10x = 01.01

.: 10x - x = 01.01 - 0.01

.: 10x - x = 01.01 - 0.01 9x = 01

.: 10x - x = 01.01 - 0.01 9x = 01 [X = 1/9] .

(b) Ans :- Let x = 0.0111.... = 0.01

.: 10x = 01.01

.: 10x - x = 01.01 - 0.01

9x = 01

[ X = 1/9 ].

(c)Ans :- Let x = 38.999.... = 38.9

(c)Ans :- Let x = 38.999.... = 38.9 .: 10x = 389.9

(c)Ans :- Let x = 38.999.... = 38.9 .: 10x = 389.9 .: 10x - x = 389.9 - 38.9

(c)Ans :- Let x = 38.999.... = 38.9 .: 10x = 389.9 .: 10x - x = 389.9 - 38.9 9x = 351

(c)Ans :- Let x = 38.999.... = 38.9 .: 10x = 389.9 .: 10x - x = 389.9 - 38.9 9x = 351 [ X = 351/9 ]

(d) Ans :- Let x = 100.100100.... = 100.100

.: 1000x = 100100.100

.: 1000x - x = 100100.100 - 100.100

999x = 100000

[ .: X = 100000/999 ] .

(e) Ans :- Let x = 0.989898..... = 0.98

:- Let x = 0.989898..... = 0.98 .: 100x = 98.98

:- Let x = 0.989898..... = 0.98 .: 100x = 98.98 .: 100x - x = 98.98 - 0.98

:- Let x = 0.989898..... = 0.98 .: 100x = 98.98 .: 100x - x = 98.98 - 0.98 99x = 98

:- Let x = 0.989898..... = 0.98 .: 100x = 98.98 .: 100x - x = 98.98 - 0.98 99x = 98 [ .: X = 98/99 ] .

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