Significant Figures:How many SigFigs do each of these
contain?
 5.682
 100
 100.
 0.00582
 1.00582
 0.005820
 62.4050

1.6 * 10^{4}
 4
Pretty easy, just count the numbers.
 1
The two zeroes are not defined specifically. For all you know, the answer could of been 99
rounded up. Unless the last zero was defined, you must assume this is one SigFig.
 3
The period at the end tells us that this is exactly 100.
 3
You do not count the zeroes before unless there is a significant number before the zeroes,
like the next one.
 6
The "1" makes the two zeroes between significant.
 4
The zero after the 582 is counteded because that is specific.
 6
Both zeroes are counted as significant.
 2
If you think about this, that number is equivalen to 0.00016. The zeroes before are not
considered significant.