Internet divided over simple math question

Introduction

In this tutorial, we will explore a simple yet intriguing math question that has sparked debate and confusion among many. The goal is to clarify the problem, walk through the solution step-by-step, and understand why this math question is challenging for many. This exercise will not only sharpen your math skills but also reinforce the importance of following the correct order of operations.

Step 1: Understand the Problem

The math question presented is:

6 ÷ 2(1 + 2) = ?

To solve this, we need to break it down into manageable parts.

Key Points:

• Recognize the components of the equation: We have a division, a multiplication, and parentheses.
• Identify the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step 2: Simplify the Parentheses

Before we perform any operations, we first simplify the expression inside the parentheses.

Action Steps:

Calculate the expression inside the parentheses

• (1 + 2 = 3)

Now, the equation simplifies to:

6 ÷ 2(3)

Step 3: Apply the Order of Operations

Next, we address the operations according to the correct order.

Action Steps:

Recognize that the equation now has division and multiplication. According to the order of operations, we perform these from left to right

First, perform the division

• (6 ÷ 2 = 3)

Now, multiply by the result of the parentheses

• (3 × 3 = 9)

Conclusion

The final answer to the equation (6 ÷ 2(1 + 2)) is 9.

Key Takeaways:

• Always simplify expressions in parentheses first.
• Follow the order of operations strictly to avoid common pitfalls.
• Practice similar problems to reinforce your understanding of math concepts.

For further exploration, consider tackling additional math questions that test your understanding of order of operations, such as:

• (8 ÷ 2(2 + 2))
• (60 ÷ 5(7 - 5))

By practicing these, you will enhance your mathematical skills and confidence in solving similar problems in the future.