Question

express in p/q form 0.7and86bar​

Answer 1

$= 0.7 \bar{86}$

To express the number in p/q form.

$\rule{200}{2}$

Let the number be x.

So,

$x =0.7868686.....$

Therefore :-

$10x = 7.868686...$

And,

$1000x = 786.8686....$

$\rule{200}{2}$

Now,

Subtracting 1000x from 10x

We have :-

$1000x = 786.8686... \\ \\ \: \: \: \: 10x = \: \: \: \: 7.8686... \\ \\ = = = = = = = = = = = = = \\ 990x = 779 \\ \\ \\x = \frac{779}{990}$

$\rule{200}{2}$

Hence,

This is the answer!

$\rule{200}{2}$

Rational Numbers

The numbers which can be expressed in the form of p/q where p and q are integers and q is not equal to 0 are called as rational numbers.

$\rule{200}{2}$

Irrational Numbers

The numbers which cannot be expressed in the form of p/q where p and q are integers and q is not equal to 0 are called as irrational numbers.

$\rule{200}{2}$

Answer 2

Step-by-step explanation:

To express the number in p/q form.

Let the number be x.

So,

x =0.7868686.....x=0.7868686.....

Therefore :-

10x = 7.868686...10x=7.868686...

And,

1000x = 786.8686....1000x=786.8686....

Now,

Subtracting 1000x from 10x

We have :-

$\begin{lgathered}1000x = 786.8686... \\ \\ \: \: \: \: 10x = \: \: \: \: 7.8686... \\ \\ = = = = = = = = = = = = = \\ 990x = 779 \\ \\ \\x = \frac{779}{990}\end{lgathered}$

Hence,

This is the answer!

Rational Numbers

The numbers which can be expressed in the form of p/q where p and q are integers and q is not equal to 0 are called as rational numbers.

Irrational Numbers

The numbers which cannot be expressed in the form of p/q where p and q are integers and q is not equal to 0 are called as irrational numbers.