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The temperature in a town is [tex]$36.6^{\circ} F$[/tex] during the day and [tex]$-12.6^{\circ} F$[/tex] at night. What is the temperature change from day to night?

[tex]$36.6 - (-12.6) =$[/tex]

Answer :

Sure, let's go through the solution step-by-step.

We are given:
- Temperature during the day: [tex]\( 36.6^\circ F \)[/tex]
- Temperature at night: [tex]\( -12.6^\circ F \)[/tex]

We need to find the temperature change from day to night.

To find this change, we need to subtract the nighttime temperature from the daytime temperature. The formula is:

[tex]\[ \text{Temperature Change} = \text{Day Temperature} - \text{Night Temperature} \][/tex]

So, in mathematical terms, this would be:

[tex]\[ \text{Temperature Change} = 36.6 - (-12.6) \][/tex]

When you subtract a negative number, it is the same as adding the absolute value of that number. Therefore:

[tex]\[ 36.6 - (-12.6) = 36.6 + 12.6 \][/tex]

Now, add the two values together:

[tex]\[ 36.6 + 12.6 = 49.2 \][/tex]

So, the temperature change from day to night is [tex]\( 49.2^\circ F \)[/tex].

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