Are all rational numbers are terminating?

Answer 1

Yes, if a decimal terminates it is rational. However, decimals that repeat with a definite pattern, such as 8.2121212121..., would also be rational.

All terminating decimals are rational. For example, 0.1259 is the same as the rational number 1259 / 10000.

Both terminating decimals and repeating decimals are rational numbers.
yes!

let x be a real number with k digits after the decimal. then x*10k and 10k are integers, and (x*10k) / (10k) = x. therefore xis rational.

Answer 2

Nope. For example 1/3 is rational, but not terminating.