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Chapter 1: Problem 61

Find each sum. $$|-3+(-5)|+|2+(-6)|$$

Short Answer

Expert verified
The answer is 12.

Step by step solution

01

Simplify the first absolute value equation

Solve the equation inside the first absolute value signs: |-3+(-5)|. This simplifies to |-8|.
02

Solve the absolute value

Solve |-8|, which simplifies to 8 because the absolute value of a number is always positive.
03

Simplify the second absolute value equation

Solve the equation inside the second absolute value signs: |2+(-6)|. This simplifies to |-4|.
04

Solve the absolute value

Solve |-4|, which simplifies to 4 because the absolute value of a number is always positive.
05

Add the solutions

Add the solutions of the two absolute value equations together: \(8 + 4 = 12\).

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Most popular questions from this chapter

The peak of Mount Whitney is \(14,494\) feet above sea level. Mount Whitney can be seen directly above Death Valley, which is 282 feet below sea level. What is the difference in elevation between these geographic locations?

Find the value of each expression. $$-|-9-(-6)|-(-12)$$

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The quotient of \(-2\) and a number, subtracted from the quotient of \(-5\) and the number.

The peak of Mount Kilimanjaro, the highest point in Africa, is \(19,321\) feet above sea level. Qattara Depression, Egypt, one of the lowest points in Africa, is 436 feet below sea level. What is the difference in elevation between the peak of Mount Kilimanjaro and the Qattara Depression?
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