The Insanity of 6-6×6+6 Answer: Understanding Order of Operations

The Insanity of 6-6×6+6 Answer: Understanding Order of Operations

When it comes to solving mathematical equations, there are certain rules and conventions to follow. One of the most important of these is the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

So, let’s consider the equation 6-6×6+6. What is the correct answer? Before we can answer that, we need to understand the order of operations.

First, we evaluate any terms in parentheses. In this case, there are no parentheses, so we move on to exponents.

Again, there are no exponents, so we next evaluate multiplication and division, working from left to right. In our equation, we have a multiplication (6×6) and a subtraction (6-36), so which do we do first?

This is where the order of operations comes in. Multiplication comes before subtraction, so we must first evaluate 6×6, which equals 36. Then, we can subtract 36 from 6, which gives us -30. Finally, we add 6 to -30 to get a final answer of -24.

This example illustrates the importance of following the order of operations when solving mathematical equations. Without this convention, we could end up with wildly different answers and an inconsistent set of rules for solving equations.

But why do we have this order of operations in the first place? It all comes down to the need for consistency and clarity in mathematics. By agreeing on a standard order of operations, we can ensure that everyone who solves mathematical equations arrives at the same answer. This is especially important in areas like physics, engineering, and finance, where small discrepancies in calculation can have large and costly consequences.

In summary, understanding the order of operations is crucial for anyone working with mathematical equations. By following the PEMDAS convention, we can ensure that our calculations are consistent, reliable, and accurate. So, the next time you’re faced with an equation like 6-6×6+6, remember the power of PEMDAS and solve it with confidence!