Does 0.999... equal 1.000...?
Let x = 0.999... (repeating)
then:
10x = 9.999...
- x = 0.999...
------------------
9x = 9.000...
x = 9/9.000... = 1
so 0.999... = 1.000...
Off Topic » in reply to Yeah, I never quite got that myself
Let x = 0.999... (repeating)
then:
10x = 9.999...
- x = 0.999...
------------------
9x = 9.000...
x = 9/9.000... = 1
so 0.999... = 1.000...