Question

-7.832198653 . . . is rational or irrational

Answer 1

is that all of the digits?

Answer 2

that's all of the digits

Answer 3

if you can write down all of the digits, it is rational.

a rational number is one that can be represented by a fraction \(p/q\) where \(q\ne 0\). Any finite string of digits is obviously a fraction. An infinite string of digits that repeats is also rational, such as \(1/3 = 0.3333333333...\)

If it doesn't end and does not repeat, then it must be irrational.

Answer 4

Your number can be written as \[-7\frac{832198653}{1000000000}\]so it is rational