Investigation/Exploration of the Problem
To solve this problem, I entered the the given information on a spreadsheet to see if I could detect any patterns. See the table below or click here for the complete spreadsheet.
As we view the information in total, we can see another pattern beginning with 5. The last number of the repeating decimal is 6. If we round the next number to the left of the 6 , the next number will round to six and the next will round to 6 until the final rounded decimal is .6666666. The pattern continues with 6,7,and 8.
The question is.... why is 9/9 equal to one?
Since we can also write 9/9 as .999999...(repeating)
Author & Contact
Memorial Middle School