1.10 Systems of measurement  (Page 6/13)

While visiting Paris, Woody saw the temperature was $20\text{°}$ Celsius. Convert the temperature into degrees Fahrenheit.

Solution

We will substitute $20\text{°}\text{C}$ into the formula to find F.

Multiply.
Add.
	So we found that 20°C is equivalent to 68°F.

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Key concepts

• Metric System of Measurement
  • Length
    $\begin{array}{ccc}\text{1 kilometer (km)}\hfill & =\hfill & \text{1,000 m}\hfill \\ \text{1 hectometer (hm)}\hfill & =\hfill & \text{100 m}\hfill \\ \text{1 dekameter (dam)}\hfill & =\hfill & \text{10 m}\hfill \\ \text{1 meter (m)}\hfill & =\hfill & \text{1 m}\hfill \\ \text{1 decimeter (dm)}\hfill & =\hfill & \text{0.1 m}\hfill \\ \text{1 centimeter (cm)}\hfill & =\hfill & \text{0.01 m}\hfill \\ \text{1 millimeter (mm)}\hfill & =\hfill & \text{0.001 m}\hfill \\ \text{1 meter}\hfill & =\hfill & \text{100 centimeters}\hfill \\ \text{1 meter}\hfill & =\hfill & \text{1,000 millimeters}\hfill \end{array}$
  • Mass
    $\begin{array}{ccc}\text{1 kilogram (kg)}\hfill & =\hfill & \text{1,000 g}\hfill \\ \text{1 hectogram (hg)}\hfill & =\hfill & \text{100 g}\hfill \\ \text{1 dekagram (dag)}\hfill & =\hfill & \text{10 g}\hfill \\ \text{1 gram (g)}\hfill & =\hfill & \text{1 g}\hfill \\ \text{1 decigram (dg)}\hfill & =\hfill & \text{0.1 g}\hfill \\ \text{1 centigram (cg)}\hfill & =\hfill & \text{0.01 g}\hfill \\ \text{1 milligram (mg)}\hfill & =\hfill & \text{0.001 g}\hfill \\ \text{1 gram}\hfill & =\hfill & \text{100 centigrams}\hfill \\ \text{1 gram}\hfill & =\hfill & \text{1,000 milligrams}\hfill \end{array}$
  • Capacity
    $\begin{array}{ccc}\text{1 kiloliter (kL)}\hfill & =\hfill & \text{1,000 L}\hfill \\ \text{1 hectoliter (hL)}\hfill & =\hfill & \text{100 L}\hfill \\ \text{1 dekaliter (daL)}\hfill & =\hfill & \text{10 L}\hfill \\ \text{1 liter (L)}\hfill & =\hfill & \text{1 L}\hfill \\ \text{1 deciliter (dL)}\hfill & =\hfill & \text{0.1 L}\hfill \\ \text{1 centiliter (cL)}\hfill & =\hfill & \text{0.01 L}\hfill \\ \text{1 milliliter (mL)}\hfill & =\hfill & \text{0.001 L}\hfill \\ \text{1 liter}\hfill & =\hfill & \text{100 centiliters}\hfill \\ \text{1 liter}\hfill & =\hfill & \text{1,000 milliliters}\hfill \end{array}$
• Temperature Conversion
  • To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula $\text{C}=\frac{5}{9}\left(\text{F}-32\right)$
  • To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula $\text{F}=\frac{9}{5}\text{C}+32$

Practice makes perfect

Make Unit Conversions in the U.S. System

In the following exercises, convert the units.