Question

express o. 9bar in the form p/q​

Answer 1

Answer:

Step-by-step explanation:

0.9 = 9/10.

THEREFORE THE P/Q FORM IS 9/10.

HOPE THIS HELPS.

Answer 2

Answer:

Let,

$\\ \sf \: 0.9999 \qquad \quad \: ( {eq}^{n} \: 1 \: )$

As, there is decimal only after one digit we'll multiply equation 1 by 10.

$\\ \sf \: 10x = 10 \times 0.999 \: ... \\ \\ \\ \implies \sf \: \: 10x = 9.999 \qquad \: ( {eq}^{n} \: 2 \: )$

Subtracting equation 2 from equation 1, we get -

$\\ \sf \: 10x - x = 9.9999 -0 .9999 \: ... \\ \\ \\ \implies \sf \: 9x = 9 \\ \\ \\ \implies \sf \blue{x = 1}$

0.9999 = 1