To determine the density of his water sample, Henry divides 1,060 g by 1.0 ml. How many significant figures should be reported in the density value?

Chemistry · College · Thu Feb 04 2021

Answered on

To determine how many significant figures should be reported in the density value, we need to look at the numbers Henry uses in his calculation.

Henry divides 1,060 g by 1.0 mL to find the density of the water sample.

The number 1,060 g has four digits, but the last digit (0) is not significant because there are no decimals indicating that it is a measured value. So, it has three significant figures (1, 0, and 6, where the first 0 is significant because it's between two non-zero digits).

The volume measurement is 1.0 mL, which has two significant figures (both 1 and 0 are significant because the zero comes after a decimal point and a non-zero digit).

When multiplying or dividing numbers, the number of significant figures in the final result should be the same as the number with the fewest significant figures that you started with.

Therefore, since the volume measurement (1.0 mL) has the fewest significant figures (two), the density should also be reported with two significant figures.

So, if Henry calculates the density to be 1060 g/mL, he should report it as 1100 g/mL (rounded to two significant figures) to reflect the accuracy of his measurements properly.