Questions: c) 0.205 mL d) 0.00340 kg e) 3.60 × 10^12 g 2. Determine the answer with the correct number of significant figures: a) 25 × 30.58= b) 2.499+9.5= 3. True or False? If false, explain why or correct the statement. a) You should hold up a graduated cylinder to eye level to take a volume

c) 0.205 mL
d) 0.00340 kg
e) 3.60 × 10^12 g
2. Determine the answer with the correct number of significant figures:
a) 25 × 30.58=
b) 2.499+9.5=
3. True or False? If false, explain why or correct the statement.
a) You should hold up a graduated cylinder to eye level to take a volume
Transcript text: c) 0.205 mL d) 0.00340 kg e) $3.60 \times 10^{12} \mathrm{~g}$ 2. Determine the answer with the correct number of significant figures: a) $25 \times 30.58=$ b) $2.499+9.5=$ 3. True or False? If false, explain why or correct the statement. a) You should hold up a graduated cylinder to eye level to take a volume
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Solution

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Solution Steps

Step 1: Determine the Correct Number of Significant Figures for Multiplication

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.

Step 2: Perform the Multiplication

Calculate \(25 \times 30.58\).

\[ 25 \times 30.58 = 764.5 \]

Round to 2 significant figures:

\[ 764.5 \approx 760 \]

Step 3: Determine the Correct Number of Significant Figures for Addition

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.

Step 4: Perform the Addition

Calculate \(2.499 + 9.5\).

\[ 2.499 + 9.5 = 11.999 \]

Round to 1 decimal place:

\[ 11.999 \approx 12.0 \]

Step 5: Evaluate the True or False Statement

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.

Final Answer

  • 2a) \(\boxed{760}\)
  • 2b) \(\boxed{12.0}\)
  • 3a) \(\boxed{\text{True}}\)
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