For multiplication, the result should have the same number of significant figures as the factor with the fewest significant figures.
- \(25\) has 2 significant figures.
- \(30.58\) has 4 significant figures.
Thus, the result should have 2 significant figures.
Calculate \(25 \times 30.58\).
\[
25 \times 30.58 = 764.5
\]
Round to 2 significant figures:
\[
764.5 \approx 760
\]
For addition, the result should have the same number of decimal places as the number with the fewest decimal places.
- \(2.499\) has 3 decimal places.
- \(9.5\) has 1 decimal place.
Thus, the result should have 1 decimal place.
Calculate \(2.499 + 9.5\).
\[
2.499 + 9.5 = 11.999
\]
Round to 1 decimal place:
\[
11.999 \approx 12.0
\]
The statement is: "You should hold up a graduated cylinder to eye level to take a volume."
This statement is true. To accurately read the volume of liquid in a graduated cylinder, you should hold it at eye level to properly observe the meniscus.
- 2a) \(\boxed{760}\)
- 2b) \(\boxed{12.0}\)
- 3a) \(\boxed{\text{True}}\)