Questions: Multiply or divide the following measurements, Be sure each answer you enter contains the correct number of significant digits. 2.094 g/mL × 2.85 mL = 5.9 g 101.1 mol ÷ 0.35 L = 290 mol/L 2.094 cm × 5.125 cm = 10.73 cm²

Solution Steps

To find the product, multiply the two values: \[ 2.094 \frac{\mathrm{~g}}{\mathrm{~mL}} \times 2.85 \mathrm{~mL} = 5.9679 \mathrm{~g} \] The number of significant digits in the result should be the same as the number in the measurement with the fewest significant digits. Here, \(2.85\) has 3 significant digits, so the result should be rounded to 3 significant digits: \[ 5.9679 \rightarrow 5.97 \] \[ 2.094 \frac{\mathrm{~g}}{\mathrm{~mL}} \times 2.85 \mathrm{~mL} = 5.97 \mathrm{~g} \]

To find the quotient, divide the two values: \[ 101.1 \mathrm{~mol} \div 0.35 \mathrm{~L} = 288.8571 \frac{\mathrm{mol}}{\mathrm{~L}} \] The number of significant digits in the result should be the same as the number in the measurement with the fewest significant digits. Here, \(0.35\) has 2 significant digits, so the result should be rounded to 2 significant digits: \[ 288.8571 \rightarrow 290 \] \[ 101.1 \mathrm{~mol} \div 0.35 \mathrm{~L} = 2.9 \times 10^2 \frac{\mathrm{mol}}{\mathrm{~L}} \]

To find the product, multiply the two values: \[ 2.094 \mathrm{~cm} \times 5.125 \mathrm{~cm} = 10.72875 \mathrm{~cm}^2 \] The number of significant digits in the result should be the same as the number in the measurement with the fewest significant digits. Here, \(2.094\) has 4 significant digits, so the result should be rounded to 4 significant digits: \[ 10.72875 \rightarrow 10.73 \] \[ 2.094 \mathrm{~cm} \times 5.125 \mathrm{~cm} = 10.73 \mathrm{~cm}^2 \]

Final Answer