Evaluating the Expression: 4 + 3 × 6 ÷ (4 + 2) 2
When dealing with mathematical expressions, it's essential to follow the order of operations to ensure accurate results. The given expression, 4 + 3 × 6 ÷ (4 + 2) 2, may seem complex, but by breaking it down step by step, we can evaluate it correctly.
Step 1: Evaluate the Expression Inside the Parentheses
Let's start by evaluating the expression inside the parentheses:
4 + 2 = 6
So, the expression becomes:
4 + 3 × 6 ÷ 6 2
Step 2: Evaluate the Exponentiation
Next, let's evaluate the exponentiation:
6 2 = 36
Now, the expression becomes:
4 + 3 × 6 ÷ 36
Step 3: Evaluate the Multiplication and Division (from Left to Right)
Following the order of operations, we'll evaluate the multiplication and division from left to right:
3 × 6 = 18
18 ÷ 36 = 0.5
Now, the expression becomes:
4 + 0.5
Step 4: Evaluate the Final Addition
Finally, let's evaluate the final addition:
4 + 0.5 = 4.5
The Final Answer
Therefore, the evaluated expression is:
4 + 3 × 6 ÷ (4 + 2) 2 = 4.5
