Although amusingly enough, you have just proved their statement to be true. The double in this case gives you just about twice as many points of accurate precision. Watch:Originally Posted by filker0
0.666666686534882 .. seven accurate positions.
0.666666666666667 .. fifteen accurate positions.
Funny, that.
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If you want to include the preceeding zero, you end up with exactly twice as many points of accuracy. 8 and 16 respectively. So for teaching purposes, yeah, it's a pretty accurate statement.
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Quzah.