# 1.10 Systems of measurement  (Page 6/13)

 Page 6 / 13

Convert the Fahrenheit temperature to degrees Celsius: $41\text{°}$ Fahrenheit.

$5\text{°}\text{C}$

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.

Convert the Celsius temperature to degrees Fahrenheit: the temperature in Helsinki, Finland, was $15\text{°}$ Celsius.

$59\text{°}\text{F}$

Convert the Celsius temperature to degrees Fahrenheit: the temperature in Sydney, Australia, was $10\text{°}$ Celsius.

$50\text{°}\text{F}$

## 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.

A park bench is 6 feet long. Convert the length to inches.

72 inches

A floor tile is 2 feet wide. Convert the width to inches.

A ribbon is 18 inches long. Convert the length to feet.

1.5 feet

Carson is 45 inches tall. Convert his height to feet.

A football field is 160 feet wide. Convert the width to yards.

$53\frac{1}{3}$ yards

On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.

Ulises lives 1.5 miles from school. Convert the distance to feet.

7,920 feet

Denver, Colorado, is 5,183 feet above sea level. Convert the height to miles.

A killer whale weighs 4.6 tons. Convert the weight to pounds.

9,200 pounds

Blue whales can weigh as much as 150 tons. Convert the weight to pounds.

An empty bus weighs 35,000 pounds. Convert the weight to tons.

$17\frac{1}{2}$ tons

At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.

Rocco waited $1\frac{1}{2}$ hours for his appointment. Convert the time to seconds.

5,400 s

Misty’s surgery lasted $2\frac{1}{4}$ hours. Convert the time to seconds.

How many teaspoons are in a pint?

$96$ teaspoons

How many tablespoons are in a gallon?

JJ’s cat, Posy, weighs 14 pounds. Convert her weight to ounces.

$224$ ounces

April’s dog, Beans, weighs 8 pounds. Convert his weight to ounces.

Crista will serve 20 cups of juice at her son’s party. Convert the volume to gallons.

$1\frac{1}{4}$ gallons

Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.

Jon is 6 feet 4 inches tall. Convert his height to inches.

26 in.

Faye is 4 feet 10 inches tall. Convert her height to inches.

how did you get the value of 2000N.What calculations are needed to arrive at it
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Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike? Got questions? Get instant answers now!
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Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike?
Seera
Speed=distance ÷ time
Tremayne
x-3y =1; 3x-2y+4=0 graph
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