Problem 27 - Elementary Algebra

Question

For the following problems, use the order of operations to find each value. $$0+10(0)+15[4(3)+1]$$

Step-by-Step Solution

Answer

Answer: The value of the expression is 195.

Step 1: Simplify the expression inside the brackets

In this step, we need to perform the arithmetic operation inside the brackets first. We have one set of square brackets containing the expression \(4(3)+1\). Let's simplify this part: $$4(3) + 1 = 4 \times 3 + 1 = 12 + 1 = 13$$

Step 2: Perform multiplication

After simplifying the expression inside the brackets, we'll perform the multiplication operation: $$0 + 10(0) + 15[13]$$ Remember, multiplication comes before addition in the order of operations: $$0 + 0 + 15 \times 13$$ Calculate $$15 \times 13$$: $$15 \times 13 = 195$$

Step 3: Perform the addition operation

Finally, we will perform the addition operation: $$0 + 0 + 195$$ Calculate the sum: $$0 + 0 + 195 = 195$$ Therefore, the value of the given expression is 195.