Question

which is a *better* way to write scientific notation for chemistry.. \(4 \times 10^n\)? or \(4.0 \times 10^n\)?

Answer 1

Those are very different numbers. The first has an implied precision of +/- 0.5 x 10^n, while the second has an implied precision of +/- 0.05 x 10^n -- ten times more precise. You should write the number in the way that correctly expresses its implied precision.

Answer 2

so you agree that the second one is better right?

Answer 3

Not at all. It depends on the precision that is justified. If the data justify only the lower precision, than the higher precision number is worse, because it would mislead someone into thinking the value is known more precisely than it is.

Answer 4

but in general...which is better?

Answer 5

suppose no specifications were given

Answer 6

Then the problem is insoluble. You cannot choose the correct way to write this number if you do not know what kind of precision it should have.

Answer 7

hmm okay thanks :D