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Chapter 1: Problem 89

Find the value of each expression. $$|-9-(-3+7)|-|-17-(-2)|$$

Short Answer

Expert verified
-10

Step by step solution

01

Solve the equations inside inner parentheses

For |-9-(-3+7)|-|-17-(-2)|, the content inside the inner parentheses in each absolute value expression are -3+7=-4 in the first absolute value and -2 in the second one. So, rewrite the equation as |-9--4|-|-17--2|.
02

Simplify further by performing subtraction operations

Performing the subtractions gives, |-9--4| becomes |-9+4|=|-5| and |-17--2| becomes |-17+2| = |-15|. So, rewrite equation as |-5| - |-15|.
03

Apply the absolute value definition

As the definition of the absolute value of a number, you end up with 5-15 since absolute value of -5 is 5 and -15 is 15.
04

Perform the subtraction

Perform the subtraction 5-15 = -10. So this is the solution.

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Most popular questions from this chapter

Find the value of each expression. $$\frac{9}{10}-\left(\frac{1}{4}-\frac{7}{10}\right)$$

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 9 times a number and \(-4\) times the number.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(7-(-2)=5\)

Perform the indicated subtraction. $$23-23$$

Perform the indicated subtraction. $$26-26$$
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