Solving the Mathematical Puzzle: 2×2×2×2×2×2×2×2×2×2×2×2×0×224

Are you ready to dive into a mathematical puzzle that has left many scratching their heads? The expression 2×2×2×2×2×2×2×2×2×2×2×2×0×2 is one such challenge. At first glance, it seems straightforward, but the result is surprising. Let's break it down step by step using the order of operations.

Understanding the Challenge

The given expression is:

2 2 2 2 2 2 2 2 2 2 2 2 × 0 2

At first, this may seem like a straightforward multiplication problem, but it's more than that. The key is in understanding how to prioritize operations based on the correct order of operations, also known as PEMDAS or BODMAS.

Using PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right))

Let's apply PEMDAS to solve the expression 2 2 2 2 2 2 2 2 2 2 2 2 x 0 2.

First, we need to recognize that in the context of this problem, the '0' acts as a nullifying factor in multiplication. Therefore, any number multiplied by 0 equals 0.

So, the expression simplifies as follows:

2 2 2 2 2 2 2 2 2 2 2 2 × 0 2 24 2 × 0 2 24 0 2 26

However, applying the correct order of operations (PEMDAS), we see that multiplication takes precedence over addition. Thus, the expression simplifies to:

2 2 ... 2 2 2 2 0 2 (2 × 0) 2 0 2 0

Adding the remaining numbers together gives us:

24 24

Breaking It Down

Let's break down the steps again to ensure clarity:

Identify the multiplication involving 0: 2 2 ... 2 2 2 2 0 2 0 Substitute the result back into the expression: 24 0 2 24 Add the remaining numbers: 24 24

Conclusion

The final answer to the expression 2×2×2×2×2×2×2×2×2×2×2×2×0×2 is indeed 24. This might seem counterintuitive, given the initial confusion. The key is recognizing that the multiplication by 0 nullifies the entire expression, and then adding the remaining numbers gives us the final answer.

If you're interested in more mathematical puzzles or have questions about the order of operations, feel free to ask!