What is the Value of 12 of 12 ÷ 12 and the Importance of BODMAS in Decimal Operations
In mathematics, understanding basic operations and the correct application of mathematical rules is crucial. One such rule is BODMAS, which ensures that complex expressions are solved in the right order. Let's explore the mathematical expression 12 of 12 ÷ 12 and break down the steps using the BODMAS principle.
12 ÷ 12: A Simple Division
In the first example, we encounter a straightforward division problem: 12 ÷ 12. According to basic arithmetic rules, dividing 12 by 12 yields the result of 1. This is a fundamental principle that helps us perform more complex calculations.
12 of 12 ÷ 12
Let's now consider the expression 12 of 12 ÷ 12. Here, we need to pay attention to the order of operations. Using the BODMAS rule, we first perform the division inside the expression.
According to BODMAS:
B(rackets) Orders (i.e., powers and square roots, etc.) Division and Mmultiplication (left-to-right) Addition and Subtraction (left-to-right)Applying this rule, we get:
12 of 12 ÷ 12
First, perform 12 ÷ 12 to get 1. Then, 12 × 1 gives us 12. Finally, 12 ÷ 12 results in 1.So, the correct answer is 1.
12: A Single Number
The expression 12, by itself, is simply the number 12. It does not involve any operations and remains constant.
Mathematical Operations and BODMAS
The BODMAS rule is essential for solving more complex mathematical expressions. Let's break down the expression 12 of 12 ÷ 12 using BODMAS step-by-step:
12 of 12 ÷ 12 → 12 × 12 ÷ 12
According to BODMAS, perform the division:
12 × 12 ÷ 12 → (144) ÷ 12 → 12
Thus, the answer is 12.
Conclusion
Mastering fundamental mathematical operations and the BODMAS rule is crucial for performing accurate and precise calculations. Whether dealing with simple divisions or complex expressions, adhering to the rules of BODMAS ensures that you arrive at the correct answers. Understanding these principles is vital for both academic and real-world applications.
If you have any further questions or need more clarification on mathematical operations, feel free to ask.