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Chapter 1: Problem 61

Simplify each series of additions and subtractions. $$-823-146-50-(-832)$$

Short Answer

Expert verified
The simplified series of the given additions and subtractions is \(-187\).

Step by step solution

01

Understand the Exercise

This exercise involves simplifying a series of additions and subtractions. In mathematics, subtraction is considered as the addition of negative. So, the series \(-823-146-50-(-832)\) is equivalent to \(-823+(-146)+(-50)+832\). This explanation will help to avoid confusion.
02

Group the Positive and Negative Terms

Let's separate positive and negative numbers. The positive numbers are: \(+832\) and negative numbers are: \(-823, -146, -50\).
03

Sum up the Positive and Negative Terms Separately

The sum of negative numbers is \(-823-146-50 = -1019\) and the sum of the positive numbers is \(+832\).
04

Sum up Both Positive and Negative Terms

Now sum up the total of negative numbers \(-1019\) with the total of positive numbers \(+832\). So the total will be \(-1019 + 832 = -187\).

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