Question

is 8/13 rational or irrational feel dumb asking this

Answer 1

rational; any number that can be expressed as a fraction is considered as a fraction

Answer 2

is it repeating though

Answer 3

it's repeating

Answer 4

so irrational?

Answer 5

no rational

Answer 6

irrationals are NON-repeating NON-terminating decimals

Answer 7

irrational is a number that can't be written as a ratio such as \[\sqrt{2}\]

Answer 8

but what about pi its 22/7?

Answer 9

22/7 is only aproximation of pi

Answer 10

pi itself is an irrational number

Answer 11

no pi is approximately 22/7

Answer 12

ok so its rational when it is in that approximated form?

Answer 13

22/7 is a rational number but it's not actually pi

Answer 14

a rational number is any number in the form:\[\frac{a}{b}\]where an and b are integers. pi is not a rational number. \[\frac{22}{7}\] is a rational number, because 22 is an integer, and 7 is an integer.

Answer 15

it doesnt matter if the decimal representation repeats or not.

Answer 16

ah, thanks guys

Answer 17

\[{22 \over 7} = \begin{matrix} \\ 3.\end{matrix}{\over142857}\] is close enough to pi=3.14159... for everyday use

Answer 18

\[3.\overline{142857}\]

3.\overline{142857}

Answer 19

any rational number a/b (where b not 0)when written in decimal form will turn out to be terminating or repeating.
Any terminating or repeating decimal can be re-written as a/b