Solving Numerical Expressions: A Comprehensive Guide

Whether you are a student, a teacher, or a professional in mathematics, understanding how to solve numerical expressions is a valuable skill. This guide will break down the process of solving the numerical expression 15 × 2 - 5 × 5 4 step-by-step using the established method known as BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

Understanding the Expression

Before diving into the solution, it's important to understand the expression: 15 × 2 - 5 × 5 4. This expression contains multiplication, subtraction, and addition operations. The correct order of operations ensures that the expression is solved accurately.

The BODMAS Method

1. Brackets (B)

The first step in the BODMAS method is to resolve any expressions within brackets. Since our expression does not contain any brackets, we can move on to the next step.

2. Orders (O)

The second step is to handle any powers or roots. Again, our expression does not contain any orders, so we can proceed to the next step.

3. Division and Multiplication (DM)

Next, we perform all multiplications and divisions from left to right. In our expression:

15 × 2 30 5 × 5 25

Substituting these values back into the expression, we get:

30 - 25 4

4. Addition and Subtraction (A/S)

Finally, we perform all additions and subtractions from left to right. Following this step-by-step process, we have:

30 - 25 5 5 4 9

Therefore, the final result of the expression 15 × 2 - 5 × 5 4 is:

9

Alternative Methods

Another way to solve the same expression is by substituting the values directly into the expression and simplifying from left to right:

5 × 2 10 5 × 5 25 Substituting these values, we get: 110 - 25 4 110 - 25 85 85 4 31

The final result using this method is:

31

Conclusion

Regardless of the method used, the correct answer to the expression 15 × 2 - 5 × 5 4 is 31. Understanding and applying the BODMAS method ensures that you can solve any numerical expression accurately and systematically.

To further enhance your skills, you can download educational apps or platforms like Eduthrill, which offer practice exercises and other resources to improve your mathematical skills.

The problem can be further explored using the BODMAS method or by breaking it down manually, as demonstrated in the alternative method.

Let's practice with another problem:

34 × 7 - 5 × 6 10 ÷ 6

Using the BODMAS method, we can solve this step-by-step, ensuring a thorough understanding of the concept.