The exact answer to calculating 10 of 800 is 80.
When you encounter the phrase "10 of 800," it generally refers to finding 10 percent of the number 800. Calculating percentages is a fundamental skill with broad applications, from determining discounts while shopping to understanding financial statements.
Understanding How to Calculate Percentages
A percentage represents a portion of a whole, where the whole is conceptualized as 100 parts. Thus, 10% signifies 10 parts out of every 100. To calculate a percentage of any number, you convert the percentage into either a fraction or a decimal and then multiply it by the given number. This approach ensures you find the specific part of the whole that the percentage represents.
Methods to Calculate 10% of 800
There are two primary methods to efficiently determine 10% of 800:
1. Using Fractions
This method involves expressing the percentage as a fraction with a denominator of 100.
- Convert the percentage to a fraction: 10% can be written as $\frac{10}{100}$.
- Multiply the fraction by the number:
$800 \times \frac{10}{100}$
To simplify this calculation, you can first divide 800 by 100, which results in 8.
Then, multiply 8 by 10:
$8 \times 10 = \textbf{80}$
2. Using Decimals
This method involves converting the percentage into its decimal equivalent.
- Convert the percentage to a decimal: To transform a percentage into a decimal, divide it by 100.
$10 \div 100 = 0.10$ - Multiply the decimal by the number:
$0.10 \times 800 = \textbf{80}$
Both methods consistently yield the same result, confirming that 10% of 800 is 80. This systematic process can be applied to calculate any percentage of any given number.
Practical Applications of Percentage Calculations
Calculating percentages is an invaluable skill for various real-life scenarios, including:
- Discounts: Figuring out the savings on an item that is 10% off its original price of $800.
- Tips: Estimating a 10% tip on a restaurant bill totaling $800.
- Financial Growth/Decrease: Determining a 10% increase or decrease in an initial amount of $800.
Summary of the Calculation
For quick reference, here's a summary of how to calculate 10% of 800:
| Step | Description | Calculation | Result |
|---|---|---|---|
| 1. Interpret | Understand "10 of 800" as "10% of 800". | 10% | |
| 2. Convert | Transform 10% into a fraction or decimal. | 10/100 or 0.10 | |
| 3. Multiply | Multiply the converted value by the number 800. | 800 (10/100) OR 800 0.10 | 80 |
This straightforward approach helps ensure accuracy and clarity when dealing with percentage calculations.
