Math Problem Statement

Homework_Measurements.pdf

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Solution

The document you provided includes a series of unit conversion and measurement questions. Here’s a quick breakdown of each problem along with the methods or formulas required for their solutions:

  1. 0.65 miles to feet: Use the conversion 1 mile=5280 feet1 \text{ mile} = 5280 \text{ feet}.

  2. 3.01 meters to centimeters: Use 1 meter=100 centimeters1 \text{ meter} = 100 \text{ centimeters}.

  3. 0.87 milligrams to kilograms: Use 1 kilogram=1,000,000 milligrams1 \text{ kilogram} = 1,000,000 \text{ milligrams}.

  4. 0.87 kiloliters to liters: Use 1 kiloliter=1000 liters1 \text{ kiloliter} = 1000 \text{ liters}.

  5. 120 fluid ounces to gallons: Use 1 gallon=128 fluid ounces1 \text{ gallon} = 128 \text{ fluid ounces}.

  6. 13 weeks to days: Use 1 week=7 days1 \text{ week} = 7 \text{ days}.

  7. 5.75 dozen eggs to eggs: Use 1 dozen=12 eggs1 \text{ dozen} = 12 \text{ eggs}.

  8. 0.65 square miles to acres: Use 1 square mile=640 acres1 \text{ square mile} = 640 \text{ acres}.

  9. 5 kilometers to miles: Use 1 mile=1.609 kilometers1 \text{ mile} = 1.609 \text{ kilometers}.

  10. 76 quarts to gallons: Use 1 gallon=4 quarts1 \text{ gallon} = 4 \text{ quarts}.

  11. 18 yards to feet: Use 1 yard=3 feet1 \text{ yard} = 3 \text{ feet}.

  12. 1.80 meters to centimeters: Use 1 meter=100 centimeters1 \text{ meter} = 100 \text{ centimeters}.

  13. 283 milliliters to liters: Use 1 liter=1000 milliliters1 \text{ liter} = 1000 \text{ milliliters}.

  14. 35.6 milliliters to liters: Use 1 liter=1000 milliliters1 \text{ liter} = 1000 \text{ milliliters}.

  15. 948 millimeters to centimeters: Use 1 centimeter=10 millimeters1 \text{ centimeter} = 10 \text{ millimeters}.

  16. 1.25 miles to feet: Use 1 mile=5280 feet1 \text{ mile} = 5280 \text{ feet}.

17-20. These questions focus on selecting appropriate units or approximate values based on common measurements.

21-23. These involve more complex calculations:

  • Question 21: Convert Usain Bolt’s speed in meters per second to miles per hour.
  • Question 22: Calculate average pace in different units and projected times/distances based on a given pace.
  • Question 23: Calculate the length of Harvard Bridge in feet using a unique measurement unit called “smoots.”

If you'd like solutions for specific questions or further breakdowns, let me know!


Expanded Practice Questions

  1. Convert 2.5 miles to kilometers.
  2. Express 500 grams in pounds.
  3. How many inches are in 1.75 meters?
  4. A recipe calls for 4 cups of flour. Convert this to liters.
  5. If a runner averages 6 minutes per kilometer, how long will it take them to run 5 miles?

Tip

For unit conversions, make sure you’re consistent with units throughout the calculations and double-check conversion factors.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Measurement Analysis
Speed and Pace Calculations

Formulas

1 mile = 5280 feet
1 meter = 100 centimeters
1 kilogram = 1,000,000 milligrams
1 kiloliter = 1000 liters
1 gallon = 128 fluid ounces
1 week = 7 days
1 dozen = 12 units
1 square mile = 640 acres
1 mile = 1.609 kilometers
1 yard = 3 feet
1 liter = 1000 milliliters
1 centimeter = 10 millimeters

Theorems

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Suitable Grade Level

Grades 9-12