i'm really confused about if 0.123333... is

A) rational number
B) irrational number
C)integer,rational number
D)whole number, integer,rational number

can somebody help me please
thank you

2 answers

it is rational, since I can write it as a fraction

Quick way to find that fraction ....

1. write down the digits to the end of the first repeat ---- 123
2. subtract all the digits that don't repeat ----- 123 - 12 = 111
that is your numerator
3. write down a 9 for each repeating digit, followed by a 0 for each non-repeating digit
900 <---- that is your denominator.

so .123333.... = 111/900 = 37/300

check with calculator, it works!

make up your own repeating decimal and try my method
you are a noob