Solving the Mathematical Expression: What is the Result of -2-5-1-5-5?

In the realm of mathematics, solving expressions can seem like a challenge, particularly when negative numbers and various operations are involved. For instance, the expression -2-5-1-5-5 is a prime example. By understanding the order of operations (BODMAS) and handling negative numbers with precision, we can easily derive the result. In this article, we will walk through the steps of solving this expression and delve into the significance of following the correct order of operations.

Understanding the Premises

Let's begin with the given expression:

Z -2 - 5 - 1 - 5 - 5

To solve this expression, we need to follow the BODMAS rule, which stands for:

B - Brackets O - Orders (i.e., powers and square roots, etc.) D - Division M - Multiplication A - Addition S - Subtraction

Since there are no brackets or orders involved in our expression, we start with Addition and Subtraction.

Step-by-Step Solution

Let's break down the expression step-by-step:

Z -2 - 5 - 1 - 5 - 5

Initial Expression -2 - 5 - 1 - 5 - 5 Simplify the expression by adding the negatives -2 - 5 -7 Next term -7 - 1 -8 Continue adding the remaining terms -8 - 5 -13 Final term -13 - 5 -18

Therefore, the result of the expression is:

Z -18

Alternative Approach: Grouping Terms

Alternatively, we can group terms to simplify the expression:

Z -2 - (5 1 5 5)

Group the positive terms 5 1 5 5 16 Subtract from -2 -2 - 16 -18

Again, the result is:

Z -18

Case Study: Z -2 - 5 - 1 - 5 - 5

We can also represent the same expression in a different format:

Z -2 × (-5) – 1 - (5 × -5)

Breaking it down further:

First, handle the multiplications -2 × (-5) 10 Add the remaining terms 10 - 1 - (5 × -5) 10 - 1 - (-25) Simplify further 10 - 1 25 34 - 1 33 - 5 28 - 5 23 - 1 22 - 5 17 - 1 16 - 5 11 - 5 6 - 1 5 - 1 4 - 1 3 - 1 2 - 1 1 - 1 0 - 1 -1 - 1 -2 - 1 -3 - 1 -4 - 1 -5 - 1 -6 - 1 -7 - 1 -8 - 1 -9 - 1 -10 - 1 -11 - 1 -12 - 1 -13 - 1 -14 - 1 -15 - 1 -16 - 1 -17 - 1 -18

In conclusion, the final result of the expression is:

Z -18

Conclusion

The process of solving mathematical expressions requires a clear understanding of the order of operations and handling negative numbers effectively. By following the BODMAS rule, we can systematically derive the correct result, as shown in the examples provided. This method not only simplifies complex expressions but also enhances our problem-solving skills. Whether you are an academic, a professional, or just someone who enjoys mathematics, mastering these techniques is a valuable asset.