Lesson 2: Converting Between SI Units - Using a Proportion Examples


EXAMPLE 2

Use the proportion strategy to complete the following conversion.

45 L = _______ mL

Solution


\(\begin{align} \frac{y}{45\,\text{L}}&=\frac{1000\,\text{mL}}{1\,\text{L}} \\ \\ \frac{y}{45\,\text{L}}\times {\color{red}{45\,\text{L}}}&=\frac{1000\,\text{mL}}{1\,\text{L}}\times {\color{red}{45\,\text{L}}} \\ \\ \frac{y}{\cancel{45\,\text{L}}}\times \cancel{45\,\text{L}}&=\frac{1000\,\text{mL}}{1\cancel{\text{L}}}\times 45\cancel{\text{L}} \\ \\ y&=45\,000\,\text{mL} \\ \end{align}\)

EXAMPLE 3

Use the proportion strategy to complete the following conversion.

2 100 dag = _______ hg

Solution


\(\begin{align} \frac{y}{2\,100\,\text{dag}}&=\frac{0.01\,\text{hg}}{0.1\,\text{dag}} \\ \\ \frac{y}{2\,100\,\text{dag}}\times {\color{red}{2\,100\,\text{dag}}}&=\frac{0.01\,\text{hg}}{0.1\,\text{dag}}\times {\color{red}{2\,100\,\text{dag}}} \\ \\ \frac{y}{\cancel{2\,100\,\text{dag}}}\times \cancel{2\,100\,\text{dag}}&=\frac{0.01\,\text{hg}}{0.1\cancel{\text{dag}}}\times 2\,100\cancel{\text{dag}} \\ \\ y&=210\,\text{hg} \\ \end{align}\)


Now, it is your turn! Complete the questions in your Chapter 5, Lesson 2 Practice Makes Perfect that refer to Converting between SI Units Using a Proportion.



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