Math Problem Statement
Multiply. Write your answer using the smallest numbers possible.
9 miles 7 feet times 734
miles feet
Solution
To multiply the mixed measurement (9 miles and 7 feet) by 734, follow these steps:
-
Convert miles to feet:
Since there are 5280 feet in a mile:
.
Add the 7 feet to this:
. -
Multiply by 734:
. -
Convert back to miles and feet:
- Divide by to find the total miles:
.
- Divide by to find the total miles:
Final Answer:
6606 miles 2138 feet
Would you like further clarification or help with another problem?
Related Questions:
- How do you convert between miles and feet?
- How can you simplify large multiplications?
- Why is converting to a single unit before multiplying more efficient?
- What is the significance of using the smallest possible numbers in measurements?
- Can you explain other examples of converting between mixed units?
Tip: Always check if your final result in mixed units makes logical sense by recalculating the larger unit and the remainder.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Multiplication
Mixed Units
Formulas
1 mile = 5280 feet
Total feet = (miles × 5280) + feet
Division for conversion back: total feet ÷ 5280 = miles, remainder = feet
Theorems
Basic Arithmetic Operations
Unit Conversion Principles
Suitable Grade Level
Grades 5-8