Calculate the answers

|-3-|-7-7||

Does |n+m| = |n|+|m| for all integers na and m? If so, give some examples. If not, give a counterexample.

The Weathertalk Analysis Problem. Read the following story about the TV weatherperson and identify as many places as possible that the weatherperson could use addition or subtraction of integers to answer her questions.

Write and solve the number sentences she could use.

Ms. Cloudcover, the TV weatherperson, noted that Sunday’s temperature was 12, much warmer than the -7 on Friday and the -2 on Saturday. She remembered that Thursday’s temperature was 0 and checked to see how far Saturday’s temperature had fallen from Thursday’s temperature. She made a
note to report the average temperature for the 3-day weekend
and the temperature change from Friday to Saturday and from
Saturday to Sunday. Then she began work on a report about
how the high temperatures for each day of the past week had been over or under the normal high temperature for that day.
She wrote,
Sun: -8
Mon: -5
Tues: -2
Wed: 6
Thurs: 3
Fri: -4
Sat: 9
She wondered whether the net effect of the week was more or less than normal. Before she left for the day, she noted that today’s low temperature was and figured the difference between it and the record low of for today’s date.

1 answer

|-3-|-7-7||
= |-3-(14)|
= |-3-14|
= |-17|
= 17

|n+m| = |n|+|m|
is only true if both m and n ≥ 0
all you need to show is ONE counterexample and the statement would not be true
e.g.
|9-5) = |9| + |-5|
4 = 9+5
4 = 14 ---> false !

Please do not expect tutors to just do your homework for you.
I will leave the last one for you to finish