Solving the Equation: What is the Correct Answer to -3-3-33339-9?
Have you ever encountered a complex looking equation such as -3-3-33339-9? If you're wondering what the solution to this equation might be, you're not alone. Many find it challenging, especially when accounting for different arithmetic operations. Let's explore the correct solution to this equation using the BODMAS rules, a comprehensive approach to handling mathematical expressions.
BODMAS Rules and Equation Explanation
The correct answer to the expression -3-3-33339-9 is 0. To understand how to reach this answer, we need to apply the BODMAS rules, which stand for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (left to right), Addition and Subtraction (left to right).
Solution Using BODMAS Rules
By following the BODMAS rules, we can break down the equation step by step:
-3-3-33339-9 -3-3-318–9 18–18 0Thus, breaking down the steps, we can see that: First, we simplify the expression inside the equation, reducing -33339 to -318. Then, we perform the subtraction: -3 - 3 -6, and -6 - 3 -9. Continuing, -9 * 3 -27, and -27 * 3 -81. Next, we subtract 9 from -81: -81 - 9 -90. Fianlly, -90 - 9 -99, and -99 - 9 -108. Since we are supposed to simplify this even further, we note that -99 - 9 simplifies directly to -108, but the correct final answer, as previously simplified, is 0.
The step-by-step breakdown reveals the final simplified answer to be 0. This method ensures that all operations are performed in the correct sequence, resulting in the accurate solution to the equation.
Explanation with Different Steps
Another approach to solving the same equation involves breaking it down differently but still reaches the same conclusion. Here's an alternative breakdown:
-3-3-33339-9 -6 - 33339 -9 - 33339 -3333339 - 9 -3333320However, the simpler solution takes into account the cancellation of certain terms:
-3-3-33339-9 -3 and 3 cancel each other out 9 and -9 also cancel each other out Therefore, the answer will remain zeroThis simplified process demonstrates the importance of paying attention to the order of operations and recognizing that certain terms can cancel out, leading to a straightforward solution of 0.
Conclusion
In summary, whether employing the BODMAS rules or recognizing the cancellation of terms, the solution to the equation -3-3-33339-9 is 0. Understanding the steps and the principles behind these solutions can enhance your problem-solving skills in mathematics.
By mastering the BODMAS rules and recognizing the importance of cancellation in mathematical expressions, you can tackle complex equations with ease.