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Chapter 2: Problem 15

For the following problems, use the order of operations to find each value. $$6(4+1) \div(16 \div 8)-15$$

Short Answer

Expert verified
Question: Evaluate the following expression using the order of operations: \(6(4+1) \div (16 \div 8)-15\) Answer: The value of the given expression is \(0\).

Step by step solution

01

Parentheses/Brackets

First, we need to solve the expressions inside the parentheses. Here, we have two expressions in parentheses: $$ 6(4+1) \div(16 \div 8)-15 $$ $$ = 6(5) \div (2)-15$$ After performing the addition inside the first parenthesis and the division inside the second parenthesis, we get 6 multiplied by 5 divided by 2 minus 15.
02

Multiplication and Division (from left to right)

Now, we need to perform the multiplication and division from left to right. We have only one multiplication and one division to perform. $$ = 30 \div 2 - 15 $$ After performing the multiplication (6*5=30), we have left with 30 divided by 2 minus 15. $$ = 15 - 15 $$ After performing the division (30/2=15), we have left with 15 minus 15.
03

Addition and Subtraction (from left to right)

Finally, we need to perform the addition and subtraction from left to right. In this case, we have only one subtraction. $$ = 0 $$ After performing the subtraction (15-15=0), we get the final result as 0. So, the value of the given expression is \(0\).

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