Question

Is 3.222222 a rational number

Answer 1

YES

Explanation:

If the number is rational, I can write it as a fraction in which the numerator and denominator are integers (denominator other than 0).

`3.\underbrace{222222}_(6)=\frac{3222222}{1\underbrace{000000}_6}-\bold{RATIONAL}`

If is repeating:

`x=3.2222....` multiply both sides by 10

`10x=32.2222...` make the difference 10x - x

`10x-x=32.2222...-3.2222...`

`9x=29` divide both sides by 9

`x=(29)/(9)-\bold{RATIONAL}`