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Chapter 5: Problem 102

Use the order of operations to find the value of each expression. \(8-3[-2(5-7)-5(4-2)]\)

Short Answer

Expert verified
The value of the expression is 26.

Step by step solution

01

Solve Expressions Inside Parentheses

The expression inside the brackets starts with parentheses. We start by simplifying these. \n-2*(5-7) gives -2*(-2) = 4, and -5*(4-2) gives -5*2 = -10.
02

Simplify Expressions Inside Brackets

We have simplified the expression to \(8 - 3[4 - 10]\). Now finish simplifying within the brackets to get \(8 - 3*(-6)\).
03

Multiply

We continue to apply the order of operations by performing the multiplication next. This gets us \(8 - (-18)\).
04

Simplify Using Addition

The remaining subtraction can be seen as adding a negative, which simplifies to \(8 + 18\).
05

Addition

Finally, perform the addition to get the result 26.

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