answersLogoWhite

0

Numbers become a repeating decimal when dividing by ANY whole number, except when (if the division, expressed as a fraction, is in simplest terms) the denominator has no prime factors other than 2 and 5.The reason for this is related to the fact that our decimal system is base 10, and 10 is made up of the factors 2 and 5. Any denominator with other factors cannot be exactly expressed as a terminating decimal. That includes denominators 3, 6, 7, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21, etc.

User Avatar

Wiki User

9y ago

Still curious? Ask our experts.

Chat with our AI personalities

TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
JudyJudy
Simplicity is my specialty.
Chat with Judy
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
More answers

Some do, some don't. 27 divided by 9 equals 3. You can also get repeating decimals with other divisors.

User Avatar

Wiki User

9y ago
User Avatar

Add your answer:

Earn +20 pts
Q: Why do numbers become a repeating decimal when divided by 9?
Write your answer...
Submit
Still have questions?
magnify glass
imp