\( \begin{array}{l} \text { Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. }\\ \begin{array}{c} 78.1 \frac{8}{\mathrm{~mL}} \times 39 . \mathrm{mL}=\square \mathrm{g} \\ 883.81 \mathrm{~g} \div 34.628 \mathrm{~mL}=\square \frac{\mathrm{g}}{\mathrm{~mL}} \\ 521.82 \mathrm{~mol} \div 0.50 \mathrm{~L}=\square \frac{\mathrm{mol}}{\mathrm{~L}} \end{array} \end{array} \)
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The Deep Dive
To multiply or divide measurements with the correct number of significant digits, you have to remember a few key rules. First, when multiplying or dividing, the result should retain the same number of significant figures as the measurement with the fewest significant figures. For example, in your first calculation, 78.1 has three significant figures, while 39 has two, so your final answer should also contain two significant figures. Additionally, it's crucial to pay attention to decimal points and trailing zeros, as these can greatly affect how many significant figures are present. For example, the number 0.50 has two significant figures, while 0.500 has three. Always double-check your calculations and significant figures to ensure accuracy! For a deeper dive into significant figures and their application in real-world scenarios like scientific research or engineering, consider exploring textbooks or online resources specific to chemistry and physics. Sites often provide interactive practice problems, which can make learning about significant figures more engaging and fun!