Question

Express 0.99999..... in the form of p upon q Answer plzz

Answer 1

Hope it helps....!!!!

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Let x=0.99999....

There is only one repeating digit so multiply by 10 we get:

10x=9.9999....

x=0.9999...

Subtract x now we get

9x=9

Divide by 9 we get

x=9/9=1

Thus 0.99999=1

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Answer 2

Given:
0.9 = 0.99999…
Let x = 0.99999……. (1)

Here only one digit is repeating so multiply by 10 on both sides

10 × x = 10× 0.99999….
10x = 9.9999…. (2)
On subtracting equation 1 from equation 2

10x- x = 9.9999…. - 0.9999….

9x = 9

x = 9/ 9 = 1

Here , 0.9 = 1