Final answer:
In mathematics, when adding or subtracting measurements, the result should be rounded to the same number of decimal places as the least precise measurement. The answers are 13.23 g, 4.6 g, and 4.42 g, with proper rounding applied according to the rules of significant figures.
Step-by-step explanation:
The subject of this question is Mathematics, specifically the concept of significant figures in measurements. When performing addition or subtraction with measured values, it's important to consider the precision of the measurements to determine how the result should be rounded. For each calculation, we need to look for the number with the least number of decimal places, as our answer should have the same number of decimal places for accuracy.
- a. 13.827 g - 0.60 g: We subtract and round to two decimal places because 0.60 g has the least number of decimal places. The calculation gives us 13.23 g.
- b. 5.827 g - 1.2 g: We subtract and round to one decimal place because 1.2 g has the least number of decimal places. The calculation gives us 4.6 g.
- c. 3.820 g + 0.60 g: We add and round to two decimal places because 0.60 g has the least number of decimal places. The calculation gives us 4.42 g.