Problem 56 - Introductory Algebra for College Students

Question

Simplify each series of additions and subtractions. $$-9-5+4-17$$

Step-by-Step Solution

Answer

-27

Step 1: Identify the numbers and their signs

Firstly, identify the numbers and their signs. We have four numbers here: -9, -5, +4, and -17.

Step 2: Add/Subtract according to the signs

Next, we perform the operations according to the rules of adding and subtracting positive and negative numbers. In this case, for additions and subtractions involving different signs, we subtract the numbers and take the sign of the greater. Here, we have -9 - 5 which gives -14; then we have -14 + 4 which gives -10; finally, we have -10 - 17 which gives -27.

Step 3: Conclusion

After simplifying the series of additions and subtractions, we get the final answer -27.