Is .999 repeating equal to 1?

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Answer 1 · 2015-10-30T20:14:24

Yes

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

Answer 2 · 2015-10-31T15:34:09

Yes

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#