Solving the Expression: 6/213 - A Detailed Guide Using PEMDAS

When faced with the expression 6/213, it's important to break it down and follow the correct order of operations. This expression, while seemingly straightforward, can be misleading without proper understanding. Let's delve into how to solve it correctly.

Understanding the Expression

The expression 6/213 can be confusing due to the notation. It appears as if the '213' is to be interpreted as a single group in parentheses, but in mathematical notation, this is not the case. To solve it, we need to understand the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step-by-Step Solution

Simplify Inside Parentheses

The first step is to simplify the expression within the parentheses, if any. In this case, we have

1 3 4
Using this result, the expression 6/213 now becomes 6/24.

Division and Multiplication

Next, according to the order of operations, we perform division and multiplication from left to right.

Perform the division first: 6 / 2 3 Then, perform the multiplication: 3 * 4 12

Therefore, the answer to the expression 6/213 is 12.

Why the Confusion?

It's important to note that the expression 6/213 is not just solved by performing the division and multiplication directly from left to right. The distribution of parentheses changes the meaning of the expression entirely. Without the parentheses, the expression would be interpreted as 6 / 2 * 1 * 3 6 / 6 1, which is quite a different result.

PEMDAS vs. BODMAS

Both acronyms (PEMDAS and BODMAS) stand for the same principles but are used in different regions. PEMDAS is used in the United States, while BODMAS is favored in the UK and other English-speaking countries. Here's a quick breakdown:

PEMDAS

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

BODMAS

Brackets Orders Multiplication and Division (left to right) Addition and Subtraction (left to right)

Both acronyms prioritize the same operations in the same order, so the principle for solving the expression remains the same.

Conclusion

Understanding the correct order of operations is crucial for solving mathematical expressions. The expression 6/213 simplifies to 12 when solved correctly using PEMDAS (or BODMAS). If you want to learn more about the order of operations and how to solve mathematical equations, make sure to check out the resource provided in the bio. It will be a valuable aid for anyone seeking to enhance their mathematical skills.