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what is 80 of 13

what is 80 of 13

2 min read 05-02-2025
what is 80 of 13

What is 80% of 13? A Step-by-Step Guide

Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to determining grades. This article will show you how to calculate 80% of 13, step by step. We'll also explore different methods to solve this problem, ensuring you understand the underlying concepts.

Understanding Percentages

Before diving into the calculation, let's clarify what a percentage represents. A percentage is a fraction of 100. For example, 80% means 80 out of 100, which can be written as a fraction (80/100) or a decimal (0.8).

Method 1: Using Decimals

This is the most straightforward method. To find 80% of 13, we convert 80% to its decimal equivalent:

  1. Convert the percentage to a decimal: 80% = 0.80 or 0.8

  2. Multiply the decimal by the number: 0.8 * 13 = 10.4

Therefore, 80% of 13 is 10.4\boxed{10.4}

Method 2: Using Fractions

This method uses the fractional representation of the percentage.

  1. Convert the percentage to a fraction: 80% = 80/100 This fraction can be simplified to 4/5.

  2. Multiply the fraction by the number: (4/5) * 13 = 52/5

  3. Convert the improper fraction to a decimal: 52/5 = 10.4

Again, we find that 80% of 13 is 10.4\boxed{10.4}

Method 3: Proportion Method

This method uses proportions to solve the problem. We set up a proportion:

80/100 = x/13

Where 'x' represents 80% of 13. To solve for x, we cross-multiply:

100x = 80 * 13 100x = 1040 x = 1040/100 x = 10.4

So, 80% of 13 is 10.4\boxed{10.4}

Real-World Applications

Understanding percentage calculations is crucial in various real-world scenarios. For instance:

  • Discounts: If an item costs $13 and is on sale for 80% off, the discount amount would be $10.40.

  • Grades: If a test is worth 13 points, and a student scores 80%, their score would be 10.4 points.

  • Statistics: Percentages are frequently used in statistical analysis to represent proportions or probabilities.

Conclusion

Regardless of the method used, the answer remains the same: 80% of 13 is 10.4. Choosing the method that best suits your understanding and the problem at hand is key to mastering percentage calculations. Practice with different numbers and percentages to build your confidence and proficiency.

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