Problem 116
Question
Use the order of operations to simplify each expression. $$8-3[-2(5-7)-5(4-2)]$$
Step-by-Step Solution
Verified Answer
The simplified form of the expression is \(26\).
1Step 1: Solve Inside Parentheses
The mathematical expression inside the parentheses should be solved first, according to the order of operations. This gives \(8-3[-2(-2)-5(2)]\).
2Step 2: Perform Multiplication
Next, the multiplication should be carried out. This gives \(8-3[4-10]\).
3Step 3: Solve Inside Brackets
The mathematical expression inside the brackets should be solved next. This gives \(8-3[-6]\).
4Step 4: Multiply by -3
Then multiply the number inside the bracket by -3. This gives \(8-(-18)\).
5Step 5: Final Subtraction
Finally, subtract the values. This gives \(26\).
Other exercises in this chapter
Problem 116
Exercises 115–117 will help you prepare for the material covered in the next section. In each exercise, replace the boxed question mark with an integer that res
View solution Problem 116
The bar graph shows the total amount Americans paid in federal taxes, in trillions of dollars, and the U.S. population, in millions, from 2012 through \(2015 .\
View solution Problem 117
The early Greeks believed that the most pleasing of all rectangles were golden rectangles, whose ratio of width to height is $$\frac{w}{h}=\frac{2}{\sqrt{5}-1}$
View solution Problem 117
Exercises 115–117 will help you prepare for the material covered in the next section. In each exercise, replace the boxed question mark with an integer that res
View solution