what is 4.5 of 500

Natashya

less than a minute read

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27-12-2024

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Finding a percentage of a number is a common calculation used in many areas of life, from calculating discounts to understanding statistics. This article will walk you through how to calculate 4.5% of 500, explaining the process clearly and providing a practical example.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 4.5% can be written as 4.5/100 or 0.045 as a decimal.

Calculating 4.5% of 500: Method 1 (Decimal Conversion)

This is the most straightforward method:

1. Convert the percentage to a decimal: Divide 4.5 by 100. This gives you 0.045.

2. Multiply the decimal by the number: Multiply 0.045 by 500.

3. The result: 0.045 * 500 = 22.5

Therefore, 4.5% of 500 is $\boxed{22.5}$

Calculating 4.5% of 500: Method 2 (Fraction Conversion)

This method uses fractions:

1. Convert the percentage to a fraction: 4.5% can be written as 4.5/100. We can simplify this fraction by multiplying both the numerator and the denominator by 10 to get 45/1000. This further simplifies to 9/200.

2. Multiply the fraction by the number: Multiply 9/200 by 500.

3. Simplify and solve: (9/200) * 500 = (9 * 500) / 200 = 4500 / 200 = 22.5

Again, we find that 4.5% of 500 is $\boxed{22.5}$

Real-World Example

Let's say you're buying an item priced at $500, and it's on sale with a 4.5% discount. Using the calculation above, you would save $22.50. Your final price would be $500 - $22.50 = $477.50.

Using a Calculator

Most calculators have a percentage function. You can typically enter 4.5%, then press the multiplication symbol, enter 500, and press equals to get the answer: 22.5

Conclusion

Calculating percentages is a fundamental mathematical skill. As demonstrated, finding 4.5% of 500 is a simple process, achievable using either decimal or fraction conversions. Understanding these methods will equip you to solve similar percentage problems in various contexts. Remember that 4.5% of 500 is 22.5.