Math Problem Statement

Write the integer that represents the situation. The temperature was 12°F. It dropped so that the temperature was 0°F. ___°F represents the change in temperature.

Solution

The problem is asking for the change in temperature when it drops from 12°F to 0°F.

To find the change in temperature, you subtract the final temperature from the initial temperature: Change in temperature=0°F12°F=12°F\text{Change in temperature} = 0°F - 12°F = -12°F

So, the integer that represents the change in temperature is -12°F.

Would you like more details on how this works or have any further questions? Here are five related questions to deepen understanding:

  1. If the temperature had dropped to -5°F instead, what would the change in temperature be?
  2. What would the temperature change be if it rose from 12°F to 20°F?
  3. Can the temperature change ever be a positive number?
  4. How would you calculate the temperature change if the drop occurred in several steps?
  5. If the initial temperature was 20°F and it dropped to 0°F, what would the change be?

Tip: When finding the difference in temperatures, always subtract the final temperature from the initial one.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Integers
Temperature Change

Formulas

Change in Temperature = Final Temperature - Initial Temperature

Theorems

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Suitable Grade Level

Grade 7