Questions: Counting significant digits when measurements are multiplied or divided Sydney Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 0.93 cm × 3.025 cm = cm^2 702.7 m ÷ 0.83 s = m/s 751.8 g ÷ 0.79 mL = g/mL

Counting significant digits when measurements are multiplied or divided Sydney Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 0.93 cm × 3.025 cm = cm^2 702.7 m ÷ 0.83 s = m/s 751.8 g ÷ 0.79 mL = g/mL
Transcript text: ALEKS - Sydney Miller www-awy.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNsikr7j8P3jH-IBjuJnuCDtT6kRBabGFF3MoAkZ_UVx0N2O2gNorGFFL2rOUPOPxAhwmoOQiZKWbJVI7DOQ2... Finish update : Counting significant digits when measurements are multiplied or divided Sydney Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. \[ \begin{aligned} 0.93 \mathrm{~cm} \times 3.025 \mathrm{~cm} & =\square \mathrm{cm}^{2} \\ 702.7 \mathrm{~m} \div 0.83 \mathrm{~s} & =\square \frac{\mathrm{m}}{\mathrm{~s}} \\ 751.8 \mathrm{~g} \div 0.79 \mathrm{~mL} & =\square \frac{\mathrm{g}}{\mathrm{~mL}} \end{aligned} \]
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Solution

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Solution Steps

Step 1: Multiplying Measurements
  • Identify the number of significant figures in each measurement:
    • \(0.93 \, \text{cm}\) has 2 significant figures.
    • \(3.025 \, \text{cm}\) has 4 significant figures.
  • Perform the multiplication: \[ 0.93 \times 3.025 = 2.81325 \]
  • Round the result to the least number of significant figures (2 significant figures): \[ 2.81325 \approx 2.8 \, \text{cm}^2 \]
Step 2: Dividing Measurements (First Division)
  • Identify the number of significant figures in each measurement:
    • \(702.7 \, \text{m}\) has 4 significant figures.
    • \(0.83 \, \text{s}\) has 2 significant figures.
  • Perform the division: \[ \frac{702.7}{0.83} = 846.8674699 \]
  • Round the result to the least number of significant figures (2 significant figures): \[ 846.8674699 \approx 850 \, \frac{\text{m}}{\text{s}} \]
Step 3: Dividing Measurements (Second Division)
  • Identify the number of significant figures in each measurement:
    • \(751.8 \, \text{g}\) has 4 significant figures.
    • \(0.79 \, \text{mL}\) has 2 significant figures.
  • Perform the division: \[ \frac{751.8}{0.79} = 951.6455696 \]
  • Round the result to the least number of significant figures (2 significant figures): \[ 951.6455696 \approx 950 \, \frac{\text{g}}{\text{mL}} \]

Final Answer

\[ \begin{aligned} 0.93 \, \text{cm} \times 3.025 \, \text{cm} & = \boxed{2.8 \, \text{cm}^2} \\ 702.7 \, \text{m} \div 0.83 \, \text{s} & = \boxed{850 \, \frac{\text{m}}{\text{s}}} \\ 751.8 \, \text{g} \div 0.79 \, \text{mL} & = \boxed{950 \, \frac{\text{g}}{\text{mL}}} \end{aligned} \]

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