Question

Is 0.35353535.... a rational or irrational number

Answer 1

is 0.353535.... a rational or irrational number

---> rational number

Answer 2

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Is 0.353535.... rational or irrational

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Rational as 0.353535... = 353535/1000

Let's prove!

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Let x = 0.35

Then, x = 0.353535 ---- (1)

Here, the number of digits recurring is 2, so we multiply both sides of the equation (1) by 100.

∴ 100x = 100 x 0.353535....

= 35.3535 ---- (2)

On subtracting (1) from (2), we get

95x = 35

∴ x = 35/99

∴ 0.35 = 35/99

So , its rational ...