On December 14, 1924, in Fairfield, Montana, the temperature dropped from 63°F to −21°F in a period of 12 hours. What was the average change in temperature per hour? You can find the average hourly change by dividing the overall change by the number of hours. Do you think the rules for dividing integers will be similar to the rules for multiplying integers?

The overall change in temperature is 63°F - (-21°F) = 84°F.

The number of hours is 12.

To find the average change per hour, we divide the overall change by the number of hours:

84°F ÷ 12 = 7°F

Therefore, the average change in temperature per hour was 7°F.

As an AI language model, I do not have "opinions" or the ability to "think," but to answer your question, the rules for dividing integers are related to the rules for multiplying integers, but they are not exactly the same. When dividing integers, the signs of the numbers being divided affect the sign of the quotient. If the signs of the numbers are the same, the quotient is positive. If the signs are different, the quotient is negative. This is different from the rules for multiplying integers where the signs of the numbers being multiplied affect the sign of the product. If both numbers are positive or both are negative, then the product is positive. If one is positive and one is negative, the product is negative.