Questions: 880.62 g ÷ 0.67 mL = □ g/mL 0.934 cm × 4.625 cm = □ cm² 371.2 g ÷ 68.383 mL = □ g/mL

880.62 g ÷ 0.67 mL = □ g/mL
0.934 cm × 4.625 cm = □ cm²
371.2 g ÷ 68.383 mL = □ g/mL
Transcript text: 880.62 \mathrm{~g} \div 0.67 \mathrm{~mL}=\square \frac{\mathrm{g}}{\mathrm{~mL}} \\ 0.934 \mathrm{~cm} \times 4.625 \mathrm{~cm}=\square \mathrm{cm}^{2} \\ 371.2 \mathrm{~g} \div 68.383 \mathrm{~mL}=\square \frac{\mathrm{g}}{\mathrm{~mL}}
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Solution

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Solution Steps

Step 1: Identify the number of significant digits in each measurement

For each calculation, we need to determine the number of significant digits in the given measurements:

  1. \( 880.62 \mathrm{~g} \div 0.67 \mathrm{~mL} \)

    • \( 880.62 \mathrm{~g} \) has 5 significant digits.
    • \( 0.67 \mathrm{~mL} \) has 2 significant digits.
  2. \( 0.934 \mathrm{~cm} \times 4.625 \mathrm{~cm} \)

    • \( 0.934 \mathrm{~cm} \) has 3 significant digits.
    • \( 4.625 \mathrm{~cm} \) has 4 significant digits.
  3. \( 371.2 \mathrm{~g} \div 68.383 \mathrm{~mL} \)

    • \( 371.2 \mathrm{~g} \) has 4 significant digits.
    • \( 68.383 \mathrm{~mL} \) has 5 significant digits.
Step 2: Perform the calculations
  1. \( 880.62 \mathrm{~g} \div 0.67 \mathrm{~mL} \) \[ \frac{880.62}{0.67} \approx 1314.5075 \frac{\mathrm{g}}{\mathrm{~mL}} \]

  2. \( 0.934 \mathrm{~cm} \times 4.625 \mathrm{~cm} \) \[ 0.934 \times 4.625 \approx 4.31925 \mathrm{cm}^2 \]

  3. \( 371.2 \mathrm{~g} \div 68.383 \mathrm{~mL} \) \[ \frac{371.2}{68.383} \approx 5.4285 \frac{\mathrm{g}}{\mathrm{~mL}} \]

Step 3: Round the results to the correct number of significant digits
  1. \( 880.62 \mathrm{~g} \div 0.67 \mathrm{~mL} \)

    • The result should have 2 significant digits (the smallest number of significant digits in the given measurements). \[ 1314.5075 \approx 1300 \frac{\mathrm{g}}{\mathrm{~mL}} \]
  2. \( 0.934 \mathrm{~cm} \times 4.625 \mathrm{~cm} \)

    • The result should have 3 significant digits (the smallest number of significant digits in the given measurements). \[ 4.31925 \approx 4.32 \mathrm{cm}^2 \]
  3. \( 371.2 \mathrm{~g} \div 68.383 \mathrm{~mL} \)

    • The result should have 4 significant digits (the smallest number of significant digits in the given measurements). \[ 5.4285 \approx 5.429 \frac{\mathrm{g}}{\mathrm{~mL}} \]

Final Answer

\[ \begin{array}{l} 880.62 \mathrm{~g} \div 0.67 \mathrm{~mL} = \boxed{1300 \frac{\mathrm{g}}{\mathrm{~mL}}} \\ 0.934 \mathrm{~cm} \times 4.625 \mathrm{~cm} = \boxed{4.32 \mathrm{cm}^2} \\ 371.2 \mathrm{~g} \div 68.383 \mathrm{~mL} = \boxed{5.429 \frac{\mathrm{g}}{\mathrm{~mL}}} \end{array} \]

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