Make Unit Conversions in the U.S. System
- [latex]24[/latex] inches
- [latex]3.75[/latex] feet
- [latex]58[/latex] inches
- [latex]90[/latex] feet
- [latex]0.98[/latex] miles
- [latex]300,000[/latex] pounds
- [latex]110[/latex] tons
- [latex]111[/latex] ounces
- [latex]31.25[/latex] gallons
Use Mixed Units of Measurement in the U.S. System
- [latex]4[/latex] lbs. [latex]1[/latex] oz.
- [latex]9[/latex] ft [latex]2[/latex] in
- [latex]8[/latex] yards
Make Unit Conversions in the Metric System
- [latex]8000[/latex] meters
- [latex]245[/latex] centimeters
- [latex]10.911[/latex] kilometers
- [latex]3000[/latex] milligrams
- [latex]25,000[/latex] milligrams
- [latex]3800[/latex] grams
- [latex]0.3[/latex] liters
Use Mixed Units of Measurement in the Metric System
- [latex]65[/latex] centimeters
- [latex]1.82[/latex] kilograms
- [latex]16.8[/latex] grams
- [latex]42,000[/latex] milligrams
Convert Between U.S. and Metric Systems
- [latex]106.7[/latex] centimeters
- [latex]8.2[/latex] meters
- [latex]41,500[/latex] kilograms
- [latex]5.2[/latex] feet
- [latex]33[/latex] pounds
- [latex]30.4[/latex] liters
Convert between Fahrenheit and Celsius
- [latex]25[/latex]°C
- [latex]−10[/latex]°C
- [latex]−15.5[/latex]°C
- [latex]48.9[/latex]°C
In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.
- [latex]77[/latex]°F
- [latex]5[/latex]°F
- [latex]46.4[/latex]°F
- [latex]60.8[/latex]°F
Systems of Measurement
In the following exercises, convert between U.S. units. Round to the nearest tenth.
- [latex]3.5[/latex] feet
- [latex]15[/latex] yards
- [latex]9000[/latex] pounds
- [latex]64[/latex] tablespoons
- [latex]1.9[/latex] gallons
In the following exercises, solve, and state your answer in mixed units.
- [latex]7[/latex] hours [latex]10[/latex] minutes
- [latex]3[/latex] yards, [latex]12[/latex] inches
In the following exercises, convert between metric units.
- [latex]8.85[/latex] kilometers
- [latex]13,000[/latex] milligrams
- [latex]0.65[/latex] liters
Write a Ratio as a Fraction
- [latex]\Large\frac{5}{9}[/latex]
- [latex]\Large\frac{7}{8}[/latex]
- [latex]\Large\frac{7}{3}[/latex]
- [latex]\Large\frac{7}{3}[/latex]
- [latex]\Large\frac{1}{5}[/latex]
- [latex]\Large\frac{10}{17}[/latex]
- [latex]\Large\frac{5}{4}[/latex]
- [latex]\Large\frac{2}{7}[/latex]
- [latex]\Large\frac{11}{4}[/latex]
- [latex]\Large\frac{1}{3}[/latex]
- [latex]\Large\frac{6}{23}[/latex]
- [latex]\Large\frac{82}{15}[/latex]
- [latex]\Large\frac{35}{9}[/latex]
- [latex]\Large\frac{9}{4}[/latex]
- [latex]\Large\frac{7}{4}[/latex]
- [latex]\Large\frac{2}{3}[/latex]
- [latex]\Large\frac{4}{9}[/latex]
- [latex]\Large\frac{7}{9}[/latex]
Write a Rate as a Fraction
- [latex]\Large\frac{\text{35 calories}}{\text{3 ounces}}[/latex]
- [latex]\Large\frac{\text{41 lbs}}{\text{15 sq. in}.}[/latex]
- [latex]\Large\frac{\text{488 miles}}{7 \text{ hours}}[/latex]
- [latex]\Large\frac{{$119}}{{8 \text{ hours}}}[/latex]
- [latex]\Large\frac{90\text{ pounds}}{7.5\text{square inches}}[/latex]
- [latex]\Large\frac{$612.50}{35\text{ hours}}[/latex]
Find Unit Rates
- [latex]11.67[/latex] calories/ounce
- [latex]2.73[/latex] lbs./sq. in.
- [latex]69.71[/latex] mph
- [latex]$14.88[/latex] /hour
- [latex]32[/latex] mpg
- [latex]2.69[/latex] lbs./week
- [latex]92[/latex] beats/minute
- [latex]12[/latex] pounds/sq.in.
- [latex]$17.50[/latex] /hour
Find Unit Price
- [latex]$1.09[/latex]/bar
- [latex]$1.33[/latex]/pair
- [latex]$0.48[/latex]/pack
- [latex]$0.42[/latex]
- [latex]$1.65[/latex]
- The [latex]50.7[/latex]-ounce size costs $[latex]0.138[/latex] per ounce. The [latex]33.8[/latex]-ounce size costs [latex]$0.142[/latex] per ounce. The [latex]50.7[/latex]-ounce size is the better buy.
- The 18-ounce size costs [latex]$0.222[/latex] per ounce. The [latex]14[/latex]-ounce size costs [latex]$0.235[/latex] per ounce. The [latex]18[/latex]-ounce size is a better buy.
- The regular bottle costs [latex]$0.075[/latex] per ounce. The squeeze bottle costs [latex]$0.069[/latex] per ounce. The squeeze bottle is a better buy.
- The half-pound block costs [latex]$6.78[/latex]/lb, so the [latex]1[/latex]-lb. block is a better buy.
- [latex]$0.11[/latex], [latex]$0.12[/latex]; 60 tablets for [latex]$6.49[/latex]