Source: Extra Practice

Solve the following addition and express the sum to the correct number of significant figures: 436.32 g+227.2 g+0.301 g436.32\text{ g} + 227.2\text{ g} + 0.301\text{ g}.

Options

Option A is correct

663.8 g663.8\text{ g}

Option B

663.821 g663.821\text{ g}

Option C

664 g664\text{ g}

Option D

663.82 g663.82\text{ g}

Explanation

In addition or subtraction, the final result should retain as many decimal places as there are in the number with the least decimal places. Among the given values, 227.2 g227.2\text{ g} has the least number of decimal places (only 1). The raw sum is 436.32+227.2+0.301=663.821 g436.32 + 227.2 + 0.301 = 663.821\text{ g}. Rounding this off to 1 decimal place gives 663.8 g663.8\text{ g}.