Problem 8 - Elementary Algebra

Question

Use the order of operations to find each value. $$4+3[2+3(1+8 \div 4)]$$

Step-by-Step Solution

Answer

Answer: 37

Step 1: Solve the operation inside the parentheses

According to the order of operations, we need to first solve the operation inside the parentheses: $$4+3[2+3(1+8 \div 4)]$$ As we can see, there is a division operation inside the parentheses, so we should perform it first: $$4+3[2+3(1+2)]$$ Now, we can proceed with the remaining operations inside the parentheses: $$4+3[2+3(3)]$$

Step 2: Solve the operation inside the brackets

Now that we have solved the expression within the parentheses, we can proceed with the operation inside the brackets: $$4+3[2+9]$$ $$4+3[11]$$

Step 3: Perform the operation outside the brackets

Lastly, we will multiply the number outside of the brackets with the result of the expression inside the brackets: $$4+33$$ The final step is to add these two numbers:

Step 4: Find the final value

To find the final value of the expression, we simply add the two remaining numbers: $$37$$ So, the value of the given expression is 37.