Solving the Expression

The expression is:
\[ 6 + 6 + 6 + 6 \times 0 \]

To solve it correctly, we must follow the order of operations, commonly remembered by the acronym PEMDAS/BODMAS:

– **P/B**: Parentheses/Brackets
– **E/O**: Exponents/Orders (such as squares and square roots, etc.)
– **MD**: Multiplication and Division (from left to right)
– **AS**: Addition and Subtraction (from left to right)

Following these rules, we solve any multiplication or division operations before moving on to addition or subtraction.

Step-by-Step Solution

1. **Identify Operations**:
– Addition: \(6 + 6 + 6 + 6\)
– Multiplication: \(6 \times 0\)

2. **Perform Multiplication First**:
– Calculate \(6 \times 0 = 0\)

3. **Substitute Back and Add**:
– The expression becomes \(6 + 6 + 6 + 0\)
– Add the remaining numbers: \(6 + 6 + 6 + 0 = 18\)

Therefore, the answer is **18**.

Why Order Matters

Understanding the order of operations is essential because it ensures that mathematical expressions are interpreted and solved consistently. Without a standardized order, expressions could yield multiple interpretations and results, leading to confusion and errors.

Real-Life Applications

1. **Programming**: When writing code, especially in languages that involve arithmetic calculations, following the correct order of operations is crucial for achieving the desired outcome.

2. **Engineering and Science**: Complex calculations often involve multiple operations. Accurate results depend on a consistent approach to solving equations.

3. **Everyday Calculations**: Whether managing finances or cooking, understanding how to prioritize operations can help avoid mistakes.

In conclusion, mastering the order of operations is fundamental to problem-solving in mathematics and its applications in various fields. It allows us to communicate and interpret mathematical expressions with precision and clarity.