Question

state whether 1.456 (bar 456) plus 1/9 is a rational no. or not?

Answer 1

Yes, 1.456(bar 456) +1/9 is a rational number as:

●In a rational number, the numbers are non-terminating and repeating. Hence, it is a rational number.

●1/9 is also a rational number.

Answer 2

Answer:

1.456 (bar 456) plus 1/9 is a rational number.

Explanation:

1.456 bar is a rational number. and 1/9 is a rational number. So Their addition is also a rational number.

Convert of 1.456 bar to rational number:

$let \: x = 1.456 \: bar$

$x = 1.45645456......$

$10x = 14.56456....$

$100x = 145.6456....$

$1000x = \: 1456.456....$

Substracting x from 1000x we get,

$1000x - x = 1456.456.... - 1.456456$

$900x = 1455$

$x = \frac{1455}{900}$

Value of 1.456 bar is 1455/900

Addition of 1.456 bar and 1/9=Addition of 1455/900 and 1/9 =

$\frac{1455}{900} + \frac{1}{9}$

$= \frac{1455 + 100}{900}$

$= \frac{1555}{900}$

Converting 1555/900 into smallest fraction we get: 311/180

Conclusion:

1.456 (bar 456) plus 1/9 is a rational number .

more information about rational number:

https://brainly.in/question/200066?

https://brainly.in/question/17944783?