Problem 40 - Introductory Algebra for College Students

Question

Find each sum without the use of a number line. $$60+(-50)+(-30)+25$$

Step-by-Step Solution

Answer

The result of the expression \(60+(-50)+(-30)+25\) is 5.

Step 1 - Separate Positive and Negative Numbers

In this expression, there are both positive and negative numbers. The expression is \(60+(-50)+(-30)+25\). First, separate the positive and negative numbers. So, we have positive numbers as 60 and 25, and negative numbers as -50 and -30.

Step 2 - Add Positive Numbers and Negative Numbers Separately

After separating the numbers based on their sign, add the numbers within the same sign separately. So, for positive numbers we get \(60+25 = 85\). And for negative numbers we get \(-50 + -30 = -80\)

Step 3 - Combine the Result

Now, combine the results obtained from Step 2. This translates to addition of 85 (from positive numbers) and -80 (from negative numbers). So, \(85 + -80 = 5\)