Final answer:
The largest possible density would be calculated by taking the largest mass and smallest volume, which is option (b) Mass + 0.1g / Volume - 0.1L. This results in the maximum possible density value for the given measurements. The final value should be reported with three significant figures, following the rules of significant figures in multiplication and division.
Step-by-step explanation:
To calculate the maximum possible density, we need to consider the combination of mass and volume errors that will result in the highest density value. Density is defined as mass divided by volume, so the maximum density would occur when we have the highest mass and the lowest possible volume.
Option (b) suggests taking the Mass + 0.1g and dividing by Volume - 0.1L, increasing the numerator (mass) and decreasing the denominator (volume), which would result in the largest possible density. Hence, option (b) will result in the largest possible density.
When reporting the calculated density value with the correct number of significant figures, we should round to three significant figures, because the volume measurement, which has the smallest number of significant figures, dictates the precision of our final answer.