To determine the temperature change that occurred in Browning, Montana, we need to follow these steps:
1. Identify the initial and final temperatures:
- Initial temperature: [tex]\( 44^{\circ} F \)[/tex]
- Final temperature: [tex]\( -56^{\circ} F \)[/tex]
2. Calculate the change in temperature:
- Subtract the initial temperature from the final temperature:
[tex]\[
\text{Temperature change} = \text{Final temperature} - \text{Initial temperature}
\][/tex]
- Substitute the given values:
[tex]\[
\text{Temperature change} = -56 - 44
\][/tex]
3. Perform the subtraction:
- When subtracting a positive number from a negative number, we can think of it as adding the absolute values (since both the temperatures are moving in opposite directions on the number line):
[tex]\[
-56 - 44 = -100
\][/tex]
Thus, the temperature change is [tex]\( -100^{\circ} F \)[/tex].
However, temperature change is often represented as a positive number to indicate the magnitude of change without indicating direction. This is known in terms of absolute value. So, we also consider the absolute value of the temperature change:
4. Find the absolute value of the temperature change:
[tex]\[
|\text{Temperature change}| = |-100| = 100
\][/tex]
Therefore, the magnitude of the temperature change is [tex]\( 100^{\circ} F \)[/tex].
So the correct answer is:
- 100 [tex]\(^{\circ} F\)[/tex]
Answer: D [tex]\( 100^{\circ} F \)[/tex]
