Understanding Percentages: Solving 3.2 of 250 and 1.8 of 400

In the realm of mathematical calculations, percentages are a fundamental concept. Understanding how to calculate percentages can be incredibly useful in various real-life applications, from finance and economics to data analysis. In this article, we will break down the solution to the problem of calculating 3.2 of 250 and 1.8 of 400, and demonstrate the step-by-step process to arrive at the solution.

Breaking Down the Problem

The problem we are addressing is:

3.2 of 250 and 1.8 of 400

This can be mathematically represented as:

3.2 of 250 3.2 / 100 × 250

1.8 of 400 1.8 / 100 × 400

Step-by-Step Calculation

Let's start by breaking down the first part of the problem:

3.2 of 250

Calculation:

3.2 / 100 × 250 8

Here's the breakdown of the calculation:

3.2 is the percentage we are working with. 100 is used to convert the percentage to a decimal. Multiplying the decimal by 250 gives us the result.

Now, let's tackle the second part of the problem:

1.8 of 400

Calculation:

1.8 / 100 × 400 7.2

The steps are as follows:

1.8 is the percentage we are working with. 100 is used to convert the percentage to a decimal. Multiplying the decimal by 400 gives us the result.

Summing Up the Results

To find the final result, we add the two calculated values together:

8 7.2 15.2

Conclusion

In conclusion, the solution to the problem '3.2 of 250 and 1.8 of 400' is:

3.2 of 250 8

1.8 of 400 7.2

Total 15.2

Practical Applications

Understanding and being able to calculate percentages is crucial in many practical applications, such as:

Finance: Calculating interest rates, discounts, and taxes. Science: Understanding statistical data and performing chemical reactions. Education: Calculating scores and understanding quality control.

By mastering the art of calculating percentages, you can tackle a wide range of real-world problems with ease.

Resources

For those looking to learn more about percentages and their applications, here are some recommended resources:

Online math courses on platforms like Khan Academy. Books on mathematics and statistics. Interactive tools and calculators available online.

By exploring these resources, you can deepen your understanding and improve your skills in working with percentages.

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