Question

While having a discussion about this question in class, 3 different answers came from the group of students and only one of them is correct. Question 6 + (2+8) *4 Answer #1: 64 Answer #2: 46 Answer #3: 40 In complete sentences, explain using order of operations which answer is correct and give the steps to solve the question.

Answer 1

Using the order of operations, the correct answer to the equation 6 + (2+8) * 4 is 46. You first solve inside the parentheses, then multiply, and finally add.

Step-by-step explanation:

In mathematics, especially in class, it is essential to follow the order of operations to solve problems correctly. The correct sequence is parentheses first, exponents second, multiplication and division third (from left to right), and addition and subtraction last (also from left to right). To solve the equation 6 + (2+8) * 4, here are the step-by-step instructions:

• First, we calculate the expression within the parentheses: (2+8) = 10.
• Next, we multiply this result by 4: 10 * 4 = 40.
• Lastly, we add 6 to the result: 6 + 40 = 46.

Therefore, the correct answer is #2: 46.