Problem 14 - Elementary Algebra

Question

For the following problems, use the order of operations to find each value. $$3(8+2) \div 6+3$$

Step-by-Step Solution

Answer

Answer: The value of the expression is \(8\).

Step 1: (Step 1: Parentheses)

First, we need to solve the expression within the parentheses. In this case, we have \((8+2)\). Adding these numbers together, we get a sum of \(10\). So our expression now looks like this: $$3(10) \div 6+3$$

Step 2: (Step 2: Multiplication)

Next, we need to perform the multiplication operation. We have \(3(10)\), which gives us a product of \(30\). Our expression now looks like: $$30 \div 6+3$$

Step 3: (Step 3: Division)

Now, we need to perform the division operation. We have \(30 \div 6\), which gives us a quotient of \(5\). Our expression now looks like: $$5+3$$

Step 4: (Step 4: Addition)

Finally, we need to perform the addition operation. We have \(5+3\), which gives us a sum of \(8\). So the value of the given expression is \(8\).