Question

Perform the indicated operations. $15\mathrm{\%}$ of 250

Short answer

15% of 250 is 37.5.

Step-by-step solution

Understand the Percentage

The percentage of a number is a way of expressing a number as a fraction of 100. It involves multiplying the number by the percentage and dividing by 100.

Set Up the Formula

To find 15% of 250, you set up the formula as follows: $\text{Percentage}\times \text{Number}÷100$. In this example, it becomes $15\times 250÷100$.

Multiply the Numbers

First, multiply the percentage (15) by the number (250). This gives you $15\times 250=3750$.

Divide by 100

Next, divide the result from Step 3 by 100 to convert the percentage into the actual quantity. Divide 3750 by 100, which equals 37.5.

Conclusion

The final result shows that 15% of 250 is 37.5.

Key concepts

Understanding Mathematics Education

Mathematics education is essential for developing logical reasoning and problem-solving skills. It's not just about memorizing formulas; it's about understanding concepts and the relationships between them. This helps students apply mathematical ideas to real-world situations. In percentage calculations, such as finding 15% of 250, students apply basic arithmetic to solve meaningful problems.

• Understanding percentages is crucial for many everyday tasks, from calculating discounts to understanding statistics.
• Conceptual learning aids retention and application in diverse contexts.
• Develops critical thinking, essential for educational and career success.

The goal is to facilitate a learning process where students can actively engage with problems. They learn to break complex problems into manageable parts and approach each systematically for better learning outcomes.

Effective Problem Solving

Problem solving in mathematics is a valuable skill that requires several steps. It starts with understanding the problem, developing a plan, executing the plan, and finally, reviewing the solution.

• Understanding the Problem: Grasp the concept of percentages as expressing parts out of 100. Recognize that "15% of 250" asks for a portion of 250 represented by 15 per hundred.
• Developing a Plan: Choose an appropriate method or formula, such as setting up a multiplication and then division equation: $$extPercentage\times extNumber÷100$$
• Executing the Plan: Perform calculations step by step, ensuring accuracy in multiplication and division. In this case, first multiply 15 by 250, yielding 3750, then divide by 100 to get 37.5.
• Reviewing the Solution: Verify that the result makes sense in context, confirming that 15% of 250 logically leads to part of 250, as reflected in the number 37.5.

Developing these problem-solving skills allows students to tackle more complex problems in various academic and real-life scenarios with confidence.

Implementing Step by Step Solutions

Step by step solutions are an effective way for students to approach mathematical problems methodically. Each step builds upon the previous, fostering a deeper understanding of the processes involved.

• Breaking Down the Process: Approach each part of the problem individually, such as understanding percentages first, then applying the formula.
• Clarity and Precision: Each step should be clear, concise, and logically lead to the next, such as moving from multiplication to division to arrive at the conclusion.
• Learning Through Repetition: Repetitive practice of step by step solutions enhances retention and boosts confidence. This ensures that students can independently solve similar problems in the future.
• Encouraging Self-Checking: Teach students to review each step and check their computations, reinforcing their comprehension and preventing errors.

By employing step by step solutions, students cultivate a systematic approach to problem solving that can be applied across various mathematical domains.