Problem 46 - Introductory Algebra for College Students

Question

Find each sum without the use of a number line. $$6.4+(-35)+(-2.6)+14$$

Step-by-Step Solution

Answer

The result of the addition is \(-17.2\)

Step 1: Identify numbers and list them

First, list the numbers in the given sum separately. The numbers are: \(6.4\), \(-35\), \(-2.6\), and \(14\).

Step 2: Separate positive and negative numbers

Next, separate the positive and negative numbers. The positive numbers are: \(6.4\) and \(14\). The negative numbers are: \(-35\) and \(-2.6\)

Step 3: Add the positive numbers

Now it's time to add together the positive numbers. That is, \(6.4 + 14 = 20.4\)

Step 4: Add the negative numbers

Next, add together the negative numbers. That is, \(-35 + -2.6 = -37.6\)

Step 5: Add the sum of positive and negative numbers

Lastly, add together the sum of the positive numbers and the sum of the negative numbers. That is, \(20.4 + (-37.6) = -17.2\)