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when working with sign numbers you wont always have access to a number line therefore its better to use integer rules when working on problems like this on the board we have the problem 4 plus negative 7 what were doing here is were taking a positive number and adding a negative number when were doing the problem like this its best to rewrite the problem using the integer rule of subtracting the smaller number from the larger number and then keeping the sign of the larger number so therefore were going to start with 7 which is a larger number were going to subtract 4 our smaller number this gives us 3 since 7 is our larger number and 7 is negative our final answer is going to be negative 3 you