Henry divides 1,060 g by 1.0 ml to find the density of his water sample. How many significant figures should be included in the density value that he reports?

Explanation:

1060 grams / 1.0 ml = 1060 g/ml ≅ 1100 g/ml (final answer has 2 sig. figs.    

                      Final answer => 1100 (2 sig. figs.)

Explanation:

1060 grams / 1.0 ml = 1060 g/ml ≅ 1100 g/ml (final answer).  

The rule is, the final answer of the calculation should have answer rounded to the data value having the least number of significant figures of the data used in the calculation. That is to the data value having the least number of significant figures.  

Counting Significant Figures (a method of determining no. of  sig. figs.).

For data values without decimal in data value, count left to right until reaching 1st nonzero digit. Begin count, include all zeros after 1st zero as enclosed zeros as significant figures.  

Present final results with the least number of sig. figs. as defined by data of computations.  

Examples: data values without decimal.  Count right to left.

12000 => 2 sig. figs. (trailing zeros are not sig. figs)  

2051000 => 4 sig. figs.

300 => 1 sig. fig.  

93000000 => 2 sig. fig.  

Examples: data values containing decimal. Count left to right.

0.0012 => 4 sig. figs.  (leading zeros are sig. figs.)

12.0035 => 6 sig. figs. (enclosed zeros are sig. figs.)

0.000001 => 6 sig. figs. (leading zeros are sig. figs.)

13.010 => 5 sig. figs. (enclosed zeros are sig. figs.)

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