Is .999 repeating equal to 1?

2 Answers
Oct 30, 2015

Yes

Explanation:

Try subtracting: #1.000... - 0.999... = 0.000...#

Oct 31, 2015

Yes

Explanation:

Consider

#x = 0.999...#

Multiplying both sides by 10, we get

#10 * x = 10 * 0.999...#

#=> 10x = 9.999...#

We now have two equations

#x = 0.999...#
#10x = 9.999...#

If we subtract the first equation from the second, we have

#9x = 9.0#

#=> x = 1#