Yes.
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For temperatures, zero is an arbitrary reference point, depending on which scale is used. For Celsius, zero is assigned the the temperature at which water freezes. So temperatures which are colder than this temperature will be negative values, and temperatures warmer will be positive values. Fahrenheit uses a different reference point for zero, but similar principles apply.
Negative 1 Celsius is warmer, or you might say, less cold!
Units are the same. Temperatures in kelvin are 273 more than celsius temperatures.
-12
-173 F is -279.4 Celsius.