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

$9x = 9.0$

$=> x = 1$