Question

in each of the following problems, write an addition or subtraction statement and then solve the problem:a. the hottest temperature ever recorded in a certain state was 123° F. it was recorded on July 6, 1936. less than 5 months earlier on February 15th 1936, the lowest temperature in the state's history was recorded -55° F. what is the difference between the hottest and lowest temperature? b. the temperature was -1° F and it Rose by 18° F. what is the new temperature?c. the temperature went down from 44° F to -8°F. how many degrees did the temperature fall?d. Brooke's house had a temperature of 51°F. she put the heat on and the temperature Rose by 15° F. As she was still cold, Brooke lit a fire and that increased the temperature by 10°F. What was the new temperature in the house then?

Answer 1

PART A

The hottest temperature ever recorded in a certain state was 123° F

The lowest temperature in the state's history was recorded -55° F.

Therefore the subtraction statement between the temperatures is 123F-(-55)F

`\begin{gathered} 123-(-55) \\ =123+55 \\ =178^0F \end{gathered}`

Therefore the difference in temperature is 178F

PART B

Since the temperature -1° F rose by 18° F, this gives an addition statement.

-1F+18F

`\begin{gathered} -1+18 \\ =17^0F \end{gathered}`

Therefore the new temperature is 17F

PART C

Since the temperature went down from 44° F to -8°F. This gives a subtraction statement.

44F-(-8)F

`\begin{gathered} 44F-\mleft(-8\mright)F \\ =52F \end{gathered}`

The temperature fell by 52F

PART D

Brooke's house had a temperature of 51°F. she put the heat on and the temperature rose by 15° F.

This part leads to an increase in the temperature.

`51F+15F=66F`

Also, as she was still cold, Brooke lit a fire and that increased the temperature by 10°F.

This part also leads to an increase in temperature.

`\begin{gathered} 66^0F+10^0F \\ =76^0F \end{gathered}`

The new temperature in the house is 76F