Question

express 0.999.... in the form of p/q and write the difference between 0.999..... and its p/q forn​

Answer 1

Answer:

and 1

Step-by-step explanation:

x=0.9999

10x= 9.99

10x-x=9.99-0.99

9x=9

x=1

pls marks as brainliest

Answer 2

Answer:

1

Step-by-step explanation:

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

Yes we are surprised to get an integer 1, because 0.9999…. goes on forever so there is no gap between 1 and 0.999 9... and hence they are equal.

Hope this will help you ...