Questions: Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 907.61 m / 0.70 s = product m/s 809.70 g / 39.51 mL = square g/mL 78.08 g/mL * 27 mL = square g

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits.

907.61 m / 0.70 s = product m/s

809.70 g / 39.51 mL = square g/mL

78.08 g/mL * 27 mL = square g
Transcript text: Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. \[ \begin{array}{l} 907.61 \mathrm{~m} \div 0.70 \mathrm{~s}=\prod \frac{\mathrm{m}}{\mathrm{~s}} \\ 809.70 \mathrm{~g} \div 39.51 \mathrm{~mL}=\square \frac{\mathrm{g}}{\mathrm{~mL}} \\ 78.08 \frac{\mathrm{~g}}{\mathrm{~mL}} \times 27 . \mathrm{mL}=\square \mathrm{g} \end{array} \]
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Solution

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Solution Steps

Step 1: Division of Measurements for Velocity
  1. Identify the given values: \(907.61 \, \text{m}\) and \(0.70 \, \text{s}\).
  2. Perform the division: \[ \frac{907.61 \, \text{m}}{0.70 \, \text{s}} = 1296.5857 \, \frac{\text{m}}{\text{s}} \]
  3. Determine the number of significant digits: The divisor \(0.70\) has 2 significant digits.
  4. Round the result to 2 significant digits: \[ 1300 \, \frac{\text{m}}{\text{s}} \]
Step 2: Division of Measurements for Density
  1. Identify the given values: \(809.70 \, \text{g}\) and \(39.51 \, \text{mL}\).
  2. Perform the division: \[ \frac{809.70 \, \text{g}}{39.51 \, \text{mL}} = 20.489 \, \frac{\text{g}}{\text{mL}} \]
  3. Determine the number of significant digits: The divisor \(39.51\) has 4 significant digits.
  4. Round the result to 4 significant digits: \[ 20.49 \, \frac{\text{g}}{\text{mL}} \]
Step 3: Multiplication of Measurements for Mass
  1. Identify the given values: \(78.08 \, \frac{\text{g}}{\text{mL}}\) and \(27 \, \text{mL}\).
  2. Perform the multiplication: \[ 78.08 \, \frac{\text{g}}{\text{mL}} \times 27 \, \text{mL} = 2107.16 \, \text{g} \]
  3. Determine the number of significant digits: The multiplier \(27\) has 2 significant digits.
  4. Round the result to 2 significant digits: \[ 2100 \, \text{g} \]

Final Answer

\[ \boxed{\frac{1300 \, \text{m}}{\text{s}}} \] \[ \boxed{20.49 \, \frac{\text{g}}{\text{mL}}} \] \[ \boxed{2100 \, \text{g}} \]

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