
Caleb M. answered 12/19/14
Tutor
5.0
(102)
Mathematics Tutor
Think of negative numbers as taking away dollars and positive numbers as getting paid some number of dollars.
-5 means you owe me 5 dollars
-5 + 12 means you owed my 5 dollars but you got paid 12 so once you pay me back you have 7 dollars. Then
(-5+12) + 10
Well -5+12 we found was 7 dollars and now you just got 10 more so you must have 17 dollars. So -5+12+10=17
Finally we have
(-5+12+10) - 7 = 17 - 7
Well you have 17 dollars but now you owe me 7 so once you've paid that off you have 10 dollars left. So
-5 + 12 + 10 - 7 = 10