Question

write the value of 0.9999 in the from of P/p
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Answer 1

Let x=0.99999….

Then, 10x=0.99999….x10

=9.99999…

=9+0.99999….

Since x=0.99999…, we can write:

10x=9+x

⇒10x−x=9

⇒9x=9

⇒x=1

This means 0.99999.,..=1

Answer 2

Answer:

x=o.9999

Multiply both sides by 10000 ----- (1)

10000x = 9999.9999 --------(2)

Subtract (1) from (2)

10000x - x = 9999.9999 - 0.9999

9999x = 9999

x = 9999/9999

x = 1