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Answer :
To find the difference in temperatures between Anchorage, Alaska, and Miami, Florida, we need to determine how much one temperature is from the other.
1. Identify the Temperatures:
- The temperature in Anchorage, Alaska, is [tex]\(-12^\circ F\)[/tex].
- The temperature in Miami, Florida, is [tex]\(76^\circ F\)[/tex].
2. Calculate the Difference:
- The difference in temperature is calculated by subtracting the temperature in Miami from the temperature in Anchorage:
[tex]\[
\text{Difference} = -12 - 76
\][/tex]
3. Calculate the Result:
- [tex]\(-12 - 76\)[/tex] equals [tex]\(-88\)[/tex]. This means there is an 88-degree difference, but it's negative because Anchorage is colder than Miami.
4. Absolute Value for Actual Difference:
- The absolute value of the difference gives us the actual magnitude without regard to direction:
[tex]\[
\text{Absolute Difference} = |-12 - 76| = | -88 | = 88
\][/tex]
The expression [tex]\( |-12 - 76| \)[/tex] represents the difference in temperatures, indicating a positive difference of 88 degrees. Therefore, the correct answer is option D: [tex]\( |-12 - 76| \)[/tex].
1. Identify the Temperatures:
- The temperature in Anchorage, Alaska, is [tex]\(-12^\circ F\)[/tex].
- The temperature in Miami, Florida, is [tex]\(76^\circ F\)[/tex].
2. Calculate the Difference:
- The difference in temperature is calculated by subtracting the temperature in Miami from the temperature in Anchorage:
[tex]\[
\text{Difference} = -12 - 76
\][/tex]
3. Calculate the Result:
- [tex]\(-12 - 76\)[/tex] equals [tex]\(-88\)[/tex]. This means there is an 88-degree difference, but it's negative because Anchorage is colder than Miami.
4. Absolute Value for Actual Difference:
- The absolute value of the difference gives us the actual magnitude without regard to direction:
[tex]\[
\text{Absolute Difference} = |-12 - 76| = | -88 | = 88
\][/tex]
The expression [tex]\( |-12 - 76| \)[/tex] represents the difference in temperatures, indicating a positive difference of 88 degrees. Therefore, the correct answer is option D: [tex]\( |-12 - 76| \)[/tex].
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