Math Problem Statement
What are the units for the converted rate?
Solution
To determine the correct units for the converted rate in this problem, let’s analyze the unit conversions step-by-step:
- Initial Units: Starting with .
- First Conversion: Multiply by to convert miles to feet. The "miles" units cancel out, leaving us with feet.
- Second Conversion: Multiply by to convert feet to inches. The "feet" units cancel out, leaving us with inches.
After these conversions, we’re left with inches as the final unit.
Answer
The correct answer is:
- inches
Would you like a detailed explanation of each conversion step or have any questions?
Here are five related questions to expand your understanding:
- What is the purpose of canceling units in dimensional analysis?
- How would the answer change if we started with 2 miles per hour?
- How can we convert inches back to miles?
- What are some practical applications of unit conversion in daily life?
- How would you convert square miles to square inches?
Tip:
Always track units carefully in each step of a calculation to ensure accuracy, especially in multi-step conversions.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Dimensional Analysis
Formulas
1 mile = 5280 feet
1 foot = 12 inches
Theorems
Dimensional Analysis
Suitable Grade Level
Grades 6-8