Question

Is 0.9 repeating = 1?

My class is having a whole debate.

Answer 1

I looked it up and it says that it can equal to 1

Answer 2

Yes, It True.

Explanation:

0.3 recurring equals 1/3. And 0.9 recurring is three times as much as 0.3 recurring, 1. 0 is three times as much as 1/3. Therefore, 0.9 recurring equals 1.The sequence of terminating decimals 0.9, 0.99, 0.999, 0.9999, and so on, converges to 1, so the repeating decimal 0.9999... representing the limit of that sequence, is said to be equal to 1.