Understanding the Math Problem: Why Does My Calculation Yield 36 Instead of 6?

Mathematics is a systematic process, and the order in which operations are performed can significantly affect the final answer. This is particularly evident in the classic problem: if the answer to 30 – 1211 is 6, why do I keep getting 36? Let's explore the details to understand why the given calculation yields a different result.

The Given Calculation and Its Solution

The problem presented is: 30 - 1211. The correct calculation is as follows:

First, we perform the subtraction: 30 - 1211 -1181. This is the most straightforward calculation based on the order of operations (PEMDAS/BODMAS rules). However, the problem suggests that the calculation is resulting in 6. This can only be true if there is a different interpretation or a mistake in the initial problem setup. The given steps: 30 - 12 18 and 1 1 2 lead to confusion. The second step 1 1 2 is not a standard arithmetic operation. It might be a placeholder or an alternate notation. Let's assume it is a typo or an alternative representation.

The Correct Calculation Steps

Let's break down the correct calculation step-by-step:

Step 1: Solve the Subtraction 30 - 12 18 Step 2: Apply the Multiplication 18 X 2 36 Step 3: Subtract the Results 30 - 36 -6

Now, let's consider why the given problem seems to result in 6. There are two possible scenarios:

Scenario 1: Misunderstanding of Chronological Order

Step 1: Subtract the numbers in series 1 1 2 2 X 12 24 30 - 24 6 In this scenario, it appears that the operations are being performed out of the conventional mathematical order of operations. This is a common mistake in problem-solving where the sequence of operations is not followed correctly.

Scenario 2: Interpretation of Alternate Notations

Step 1: Calculate the initial subtraction 30 - 12 18 Step 2: Interpret the multiplication as a recursive operation 18 X 2 36 Step 3: Subtract the result 30 - 36 -6, adding a twist as the provided answer is 6

Given these scenarios, the correct answer to the subtraction problem 30 - 1211 is -1181. However, if the problem is simplified to standard operations, the result might differ based on the context or typing errors.

Order of Operations in Mathematics

Understanding the order of operations (PEMDAS/BODMAS) is crucial in resolving math problems. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). BODMAS is the British acronym for the same operations: Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Parentheses/Brackets: Perform operations inside parentheses/brackets first. Exponents/Orders: Calculate exponents next. Multiplication and Division: Perform multiplication and division from left to right. Addition and Subtraction: Finally, perform addition and subtraction from left to right.

Failing to follow the order of operations can lead to incorrect results. In the given problem, adhering to the correct sequence would prevent the confusion between -1181 and 6.

Conclusion

Understanding and following the correct order of operations is essential for accurate calculations. In the problem 30 - 1211, the subtraction is clearly -1181. Any deviation from this requires a careful re-examination of the problem setup and the application of the correct operators in the right sequence.

For more detailed guidance on mathematical operations or to clarify any specific math problems, consider consulting a math textbook or seeking assistance from a tutor.