Question

1.23 bar is a rational number and irrational number and integer a natural number please select the option​

Answer 1

rational number because 1.23 bar is non terminating repeating

Answer 2

Answer:

1.23 bar is a rational number.

Step-by-step explanation:

A number is called Rational number, if it can be written in the form of p/q form where p is numerator and q is denominator, q is non-zero.

As 1.23 bar can be written in the form of p/q, it is a rational number.

1.23 bar = 1.232323...

$let \: x = 1.232323....$

$10x = 12.32323....$

(multiplying 10 in both sides)

$100x = 123.2323...$

(again multiplying 10 in both the sides)

$100x - x = 123.232323... - 1.232323....$

(Substracting x from 100x )

$99x = 122$

or,

$x = \frac{122}{99}$

or,

$x = 1.23bar = \frac{122}{99}$

The value of 1.23 bar is found to be 122/99.

So 1.23 bar can be written in the of p/q .

1.23 bar is a rational number.