Problem 62 - Introductory Algebra for College Students

Question

Simplify each series of additions and subtractions. $$-726-422-921-(-816)$$

Step-by-Step Solution

Answer

-1253

Step 1: Identify the problem

The problem is to simplify this series of additions and subtractions: \(-726-422-921+816\). It's important to note that a negative sign before a number in parentheses, \(-(-816)\), is the same as adding that number.

Step 2: Performing the subtraction and addition

First, take one number at a time. Begin by adding \(-726\) and \(-422\), which equals \(-1148\). Then, with the result, subtract \(-921\), which equals \(-2069\). Lastly, add \(+816\) to \(-2069\), which equals \(-1253\).

Step 3: Provide the final answer

When you simplify \(-726-422-921+816\), you get \(-1253\). This is the simplified form of the series of additions and subtractions.