Solving the Mathematical Expression 12 - 9/3 Using Order of Operations

When dealing with mathematical expressions, it's crucial to understand the order of operations. This order ensures that calculations are performed consistently and accurately. The acronym used in many countries is BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction), while in the United States, it's often referred to as PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). This article will guide you through solving the expression 12 - 9/3 using both these methods.

Understanding the Order of Operations

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed. Both BODMAS and PEMDAS follow a similar sequence:

B/O - Brackets/Orders (Parens/Exponents) D/M - Division/Multiplication (from left to right) A/S - Addition/Subtraction (from left to right)

Solving 12 - 9/3 Using BODMAS/PEMDAS

The expression 12 - 9/3 involves subtraction and division. According to the order of operations, you should first perform the division, and then the subtraction.

Division first: 9/3 3 Subtraction next: 12 - 3 9

So, the expression 12 - 9/3 simplifies to 9.

Additional Examples and Applications

This method of solving expressions using the order of operations is not limited to a single expression. It can be applied to a wide range of mathematical problems. For example, let's consider the expression y 12 - 9/3.

Given: y 12 - 9/3

Step 1: Calculate the division: 9/3 3

Step 2: Subtract the result: 12 - 3 9

Result: y 9

Conclusion

The expression 12 - 9/3 can be solved using the order of operations, resulting in the final answer of 9. Whether you're following BODMAS or PEMDAS, the key is to perform division before subtraction. Understanding this will help ensure accuracy in more complex mathematical expressions.

Keywords and Recommendations

BODMAS - Brackets, Orders, Division, Multiplication, Addition, Subtraction PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Order of Operations - A set of rules for solving mathematical expressions