When Alvin woke up in the morning, it was

–

9

°

F

.

By the afternoon, the temperature had risen to

–

2

°

F

.

What was the change in temperature from the morning to the afternoon?

To find the change in temperature from the morning to the afternoon, we subtract the initial temperature from the final temperature.

The initial temperature in the morning is \(-9^\circ \text{F}\) and the final temperature in the afternoon is \(-2^\circ \text{F}\).

\[
\text{Change in temperature} = \text{Final temperature} - \text{Initial temperature}
\]

\[
\text{Change in temperature} = -2^\circ \text{F} - (-9^\circ \text{F})
\]

When subtracting a negative number, it becomes addition:

\[
\text{Change in temperature} = -2^\circ \text{F} + 9^\circ \text{F} = 7^\circ \text{F}
\]

So, the change in temperature is \(7^\circ \text{F}\).

Would you like more details or have any questions?

Here are some related questions:
1. How would the change be affected if the temperatures were positive instead?
2. What if the final temperature was higher, say 5°F?
3. How do you interpret the temperature change if it was from \(-2^\circ \text{F}\) to \(-9^\circ \text{F}\)?
4. How would this calculation change if we used Celsius instead of Fahrenheit?
5. Can you show the temperature difference on a number line?
6. What if the temperature in the afternoon was the same as in the morning?
7. How does the concept of absolute value relate to this problem?
8. What if Alvin's temperature change happened over two different days?

**Tip:** Remember, subtracting a negative number is the same as adding the positive version of that number.

Learn how to calculate the change in temperature from morning (-9°F) to afternoon (-2°F) using arithmetic operations. Understand the concept of subtracting negative numbers and apply it to real-world temperature changes. Suitable for elementary to middle school students.

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