Question

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 125°f. it was recorded on july 6, 1936. less than five months earlier, on february 15, 1936, the lowest temperature in the same history was recorded - 61°f. what is the difference between hottest and lowest temperatures?
b. the temperature was - 5°f and then it rose by 16°f. what is the new temperature?
c. the temperature went down from 49°f to 0°f. how many degrees did the temperature fall?
d. brookes house had a temperature of 54°f. she put the heat on and the temperature rose by 10°f. as she was still cold, brooke lit a fire, which increased the temperature by 11°f. what was the temperature in the house then?

Explanation:

Step1: Find temperature difference

To find the difference between the hottest and coldest temperatures, we subtract the lowest from the highest.
$125 - (- 61)$

Step2: Simplify subtraction of negative number

Subtracting a negative is the same as adding a positive.
$125+61 = 186$

Step3: Calculate new temperature in part b

The initial temperature is - 5°F and it rises by 16°F. We add the increase to the initial temperature.
$-5 + 16=11$

Step4: Calculate temperature fall in part c

The temperature goes from 49°F to 0°F. We subtract the final temperature from the initial temperature.
$49 - 0=49$

Step5: Calculate final temperature in part d

The initial temperature is 54°F. It first rises by 10°F and then by 11°F. We add all the increases to the initial temperature.
$54+10 + 11=75$

Answer:

a. 186°F
b. 11°F
c. 49°F
d. 75°F