Explanations:To understand the problem of finding the temperature difference between Srinagar and Shimla, we need to consider the basic principles of arithmetic operations involving negative numbers. The overnight low temperature in Srinagar was -17$^{\circ}$F, and in Shimla, it was -6$^{\circ}$F. The question asks how much warmer Shimla was compared to Srinagar.
The key concept here is the subtraction of negative numbers. When we subtract a negative number, it is equivalent to adding the positive counterpart of that number. For example, subtracting -17 is the same as adding 17. Therefore, to find the difference in temperature, we need to subtract the temperature of Srinagar from the temperature of Shimla:
Shimla's temperature - Srinagar's temperature = -6 - (-17)
Using the rule of subtracting a negative number, we can rewrite this as:
-6 + 17
Now, we perform the addition:
-6 + 17 = 11
Thus, the temperature difference is 11$^{\circ}$F, indicating that Shimla was 11$^{\circ}$F warmer than Srinagar.
It is important to note that the result is positive, which makes sense because we are looking for how much warmer Shimla was compared to Srinagar. If the result were negative, it would imply that Srinagar was warmer, which contradicts the given temperatures.
Another common mistake is to add the temperatures instead of subtracting them. Adding -17 and -6 would result in a more negative number, which does not provide the temperature difference. Instead, it would give the combined effect of both temperatures, which is not relevant to the problem at hand.
In summary, the correct approach is to subtract the lower temperature from the higher temperature, taking into account the rules of arithmetic with negative numbers. This ensures that we accurately determine the temperature difference and correctly interpret the result in the context of the problem.