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$-40$
Why?
$\begin{align}0^\circ C&= 32^\circ F\\
+100\downarrow\hspace{6mm}&\hspace{8mm}\downarrow+180\\
100^\circ C &= 212^\circ F\end{align}$
$+100^\circ C$ is the same as $180^\circ F$
$+10^\circ C$ is the same as $+18^\circ F$
$-10^\circ C$ is the same as $-18^\circ F$
$-10^\circ C=32-18^\circ F = 14^\circ F$
$-20^\circ C=14-18^\circ F = -4^\circ F$
$-30^\circ C=-4-18^\circ F = -22^\circ F$
$-40^\circ C=-22-18^\circ F = -40^\circ F$
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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