what is 80 of 8

Natashya

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22-12-2024

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What is 80% of 8? A Simple Percentage Calculation

Finding a percentage of a number is a fundamental math skill with many real-world applications. This article will clearly explain how to calculate 80% of 8, providing step-by-step instructions and demonstrating the underlying concept. Understanding percentage calculations is crucial for various tasks, from calculating discounts to determining proportions.

Understanding Percentages

A percentage represents a fraction of 100. For example, 80% means 80 out of 100, or 80/100. This can be simplified to the decimal 0.8.

Calculating 80% of 8: Method 1 (Decimal Conversion)

1. Convert the percentage to a decimal: Divide 80 by 100: 80 ÷ 100 = 0.8

2. Multiply the decimal by the number: Multiply 0.8 by 8: 0.8 × 8 = 6.4

Therefore, 80% of 8 is $\boxed{6.4}$.

Calculating 80% of 8: Method 2 (Fraction Conversion)

1. Convert the percentage to a fraction: 80% can be written as 80/100. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (20): 80/100 = 4/5

2. Multiply the fraction by the number: Multiply 4/5 by 8: (4/5) × 8 = 32/5

3. Convert the improper fraction to a decimal: Divide 32 by 5: 32 ÷ 5 = 6.4

Again, we find that 80% of 8 is $\boxed{6.4}$.

Real-World Applications

Understanding percentage calculations has numerous real-world applications, including:

• Sales and Discounts: Calculating discounts on items during sales. For instance, if a product is 80% off, you would use this calculation to determine the discount amount.

• Financial Calculations: Determining interest rates, calculating taxes, and understanding financial statements.

• Data Analysis: Representing proportions and ratios in data sets.

• Everyday Life: Figuring out tips in restaurants or calculating proportions in recipes.

Conclusion

Calculating percentages is a straightforward process. By converting the percentage to a decimal or a fraction and multiplying it by the number, we can easily determine the required value. In this case, we definitively showed that 80% of 8 is 6.4. Mastering this skill allows for efficient problem-solving in various situations.