Final answer:
When adding 3.419 g, 3.912 g, 7.0518 g, and 0.00013 g, the sum must be rounded to three decimal places, the least precise measurement, resulting in 14.383 g.
Step-by-step explanation:
To solve the addition problem 3.419 g + 3.912 g + 7.0518 g + 0.00013 g using the correct number of significant figures, we first add the numbers without rounding:
- 3.419 g
- + 3.912 g
- + 7.0518 g
- + 0.00013 g
This gives us a raw sum of 14.38303 g. According to the rule of addition and subtraction with significant figures, we must round this raw sum to match the least number of decimal places in any of the numbers being added, which in this case is up to three decimal places (3.419 g).
Therefore, when we round 14.38303 g to three decimal places, we get 14.383 g. This is the answer with the correct number of significant figures.