Asked by hannah
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
A) rational number
B) irrational number
C)integer,rational number
D)whole number, integer,rational number
can somebody help me please
thank you
Answers
Answered by
Reiny
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
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
Answered by
mathwiz
you are a noob
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