Is 0.131313 a rational number

Answer 1

0.13131313 is a rational number, as it's a recurring number, and all recurring numbers are rational. To prove this, you first multiply by 10 until the decimal part of the number is the same. In this case, 0.13131313...x100=13.13131313....

Then you take off the original number 0.131313...x100 - 0.131313... = 13

Now you can simplify the left hand side 0.131313...x99=13

And divide both sides by 99, to get 0.131313....=13/99

So the original number can be expressed as 13/99, proving it's rational.

Answer 2

Ig

Answer 3

No

Answer 4

No

Answer 5

No