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:

Range=Highest temperatureLowest temperature\text{Range} = \text{Highest temperature} - \text{Lowest temperature}

Range=70(20)=70+20=90°F\text{Range} = 70 - (-20) = 70 + 20 = 90 \text{°F}

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:

  1. How would the range change if the low temperature was -30°F instead of -20°F?
  2. What is the average temperature during this 12-hour period?
  3. If the temperature change was linear, what would the hourly rate of temperature drop be?
  4. How would you convert these temperatures into Celsius?
  5. 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