Problem 15 - Elementary Algebra

Question

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

Step-by-Step Solution

Answer

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 1: 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.

Step 2: 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.

Step 3: 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 \(0\).