3 ms·
I've always used this variation 1/9 = 0.111... 0.111... + 0.111... + ... = 0.999.... 9 * 1/9 = 1 Or we could use base 9, instead of base 10 to get rid o
by lhorie 17y ago
I've always used this variation
1/9 = 0.111...
0.111... + 0.111... + ... = 0.999....
9 * 1/9 = 1
Or we could use base 9, instead of base 10 to get rid of that infinite sequence of digits that seem to confuse people so much.
1/10 = 0.1
10 * 1/10 = 1
- eLod 17y agoi always ,,loved'' the variation that goes like: if 0.99... != 1, then there has to be an x that 0.99.... + x = 1.0 (or to say 1 - 0.99.. > 0 must hold), so you can start to find this x (as 0.01, 0.001, 0.0001, etc.) and fail of course. this is not so ,,simple'' as your examples (or the (10*0.99.. - 0.99..)/9) but lights the point where most people go wrong here (at least for me)