Problem 13 - Elementary Algebra

Question

For the following problems, use the order of operations to find each value. $$(21+4) \div 5 \cdot 2$$

Step-by-Step Solution

Answer

Question: Solve the mathematical expression (21+4) ÷ 5 × 2 by following the order of operations. Answer: 10

Step 1: Solve the expression within the parentheses

First, we need to simplify the expression within the parentheses \((21 + 4)\). Add the numbers 21 and 4 together. This results in: $$25 \div 5 \cdot 2$$

Step 2: Simplify multiplication and division operations (from left to right)

Now we need to simplify the remaining division and multiplication operations. Starting from the left, we perform the division operation \(25 \div 5\). This results in: $$5 \cdot 2$$

Step 3: Complete the remaining operations

Now, we have only one operation left to perform, which is multiplication. We perform the operation \(5 \cdot 2\). This results in: $$10$$

Step 4: Write the final answer

The final answer to the given expression \((21+4) \div 5 \cdot 2\) is 10. $$\boxed{10}$$