Math Problem Statement
During a 12-hour period, the temperature in a city dropped from a high of 70°F to a low of −20°F. What was the range of the temperatures during this period?
Solution
The range of temperatures is the difference between the highest and lowest temperatures during the period. In this case:
- Highest temperature = 70°F
- Lowest temperature = -20°F
To find the range:
Therefore, the range of temperatures during this period is 90°F.
Would you like more details or have any other questions?
Here are 5 related questions you can explore:
- How would the range change if the low temperature was -30°F instead of -20°F?
- What is the average temperature during this 12-hour period?
- If the temperature change was linear, what would the hourly rate of temperature drop be?
- How would you convert these temperatures into Celsius?
- What would the range be if the highest temperature was 100°F and the lowest was 30°F?
Tip: When working with temperature differences, remember that subtracting a negative value is equivalent to adding its absolute value!
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Math Problem Analysis
Mathematical Concepts
Temperature Range
Basic Arithmetic
Formulas
Range = Highest temperature - Lowest temperature
Theorems
Subtraction of negative numbers (double negative)
Suitable Grade Level
Grades 4-6
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