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Chapter 1: Problem 42

Find each sum without the use of a number line. $$19+(-5)+1+8+(-13)$$

Short Answer

Expert verified
The sum is 10

Step by step solution

01

Grouping Similar Terms

Group together positive numbers and negative numbers for easy calculation. From the expression, positive numbers are \(19\), \(1\), and \(8\). Negative numbers are \(-5\) and \(-13\). The new form will be \(19+1+8+(-5)+(-13)\).
02

Calculate The Sum of Similar Terms

Calculate the sum of positive numbers: \(19+1+8=28\). Calculate the sum of negative numbers: \(-5-13=-18\). This gives us a new expression, which is \(28-18\).
03

Final Calculation

Perform the final calculation. The expression becomes \(28-18=10\) when simplified.
04

Write the Answer

The sum of the expression \(19+(-5)+1+8+(-13)\) without using a number line is \(10\).

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Most popular questions from this chapter

Order the expressions \(|x-y|,|x|-|y|,\) and \(|x+y|\) from least to greatest for \(x=-6\) and \(y=-8\).

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