Question

homework: hw 7
in each of the following problems, write an addition or subtraction expression and then solve the problem.

a. the hottest temperature ever recorded in a certain state was 121°f. it was recorded on july 6, 1936. less than five months earlier, on february 15, 1936, the lowest temperature in the state’s history was recorded, -65°f. what is the difference between hottest and lowest temperatures?
b. the temperature was -2°f and then it rose by 17°f. what is the new temperature?
c. the temperature went down from 50°f to -10°f. how many degrees did the temperature fall?
d. brooke’s house had a temperature of 56°f. she put the heat on and the temperature rose by 12°f. as she was still cold, brooke lit a fire, which increased the temperature by 14°f. what was the temperature in the house then?

a. the expression is \\(\square\\).
(do not simplify. do not include the degree symbol in your answer.)

Explanation:

Step1: Identify the operation

To find the difference between the hottest and lowest temperatures, we use subtraction. The hottest temperature is 121, and the lowest is -65. So the expression is \( 121 - (-65) \).

Step2: Simplify the expression

Subtracting a negative is like adding the positive, so \( 121 - (-65)=121 + 65 \). Then \( 121+65 = 186 \).

Answer:

For part a, the expression is \( 121 - (-65) \) and the difference is 186.

For part b:

Step1: Identify the operation

The initial temperature is -2, and it rose by 17, so we use addition. The expression is \( -2+17 \).

Step2: Simplify the expression

\( -2 + 17=15 \).