Solving the Mathematical Expression: 150/3100-50

Mathematics plays a crucial role in various fields, including computer science, engineering, and finance. Understanding and solving mathematical expressions correctly is essential. In this article, we will walk through the process of solving the expression 150/3100-50 by using the BODMAS rule, a fundamental principle in arithmetic.

Introduction to BODMAS Rule

BODMAS stands for Brackets, Orders (powers and roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right). This rule helps in determining the order of operations in mathematical expressions, ensuring consistency and correctness in the results.

Step-by-Step Solution

To solve the expression 150/3100-50, we will apply the BODMAS rule in a systematic manner.

1. Division: The first operation we encounter is division. We perform the division 150/3100.

150/3100 0.0483871

2. Subtraction: The next step is to subtract 50 from the result obtained in the first step.

0.0483871 - 50 -49.95161

However, the original expression is 150/3100 - 50, which does not align with the step-by-step explanation above. Let's re-evaluate the expression by simplifying the original form.

Correct Interpretation and Solution

The original expression is interpreted as follows:

150/3100 - 50

We can simplify the fraction 150/3100:

150/3100 3/62

Now, subtract 50 from 3/62:

3/62 - 50

This expression doesn't yield a neat result as the result is still in fractional form, thus it is often left as is. However, if we are to solve it numerically:

3/62 ≈ 0.048387

And subtract 50:

0.048387 - 50 ≈ -49.9516132

Alternative Interpretations

Let's consider an alternative interpretation of the expression, which might be intended: 150/(3100-50).

150/(3100-50) 150/3050 0.049231

In this interpretation, the expression is evaluated as a division where 3100 and 50 are subtracted first, and then 150 is divided by the result.

Conclusion

Solving mathematical expressions accurately is crucial for various real-world applications. Understanding and applying the BODMAS rule ensures that expressions are interpreted and solved correctly. Whether the expression is 150/3100-50 or 150/(3100-50), the results will differ based on the interpretation. Always clarify the intended expression to avoid misinterpretations.

Keywords:

Mathematical expression, BODMAS rule, solving equations