what is 90 of 10

Natashya

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23-12-2024

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What is 90% of 10? A Simple Percentage Calculation

Finding a percentage of a number is a fundamental math skill used daily in various situations, from calculating discounts to understanding statistics. This article will clearly explain how to calculate 90% of 10. We'll break down the process step-by-step and provide a few alternative methods.

Understanding Percentages

A percentage represents a fraction of 100. For example, 90% means 90 out of 100, or 90/100. To find a percentage of a number, we convert the percentage into a decimal and then multiply.

Method 1: Converting to a Decimal

1. Convert the percentage to a decimal: To convert 90% to a decimal, divide it by 100: 90 ÷ 100 = 0.9

2. Multiply by the number: Now, multiply the decimal by the number you want to find the percentage of (10): 0.9 x 10 = 9

Therefore, 90% of 10 is $\boxed{9}$.

Method 2: Using Fractions

1. Convert the percentage to a fraction: 90% can be written as the fraction 90/100.

2. Simplify the fraction (optional): This fraction simplifies to 9/10.

3. Multiply the fraction by the number: Multiply 9/10 by 10: (9/10) x 10 = 9

Again, we find that 90% of 10 is $\boxed{9}$.

Method 3: Thinking Proportionally

A simpler way to think about this is to consider what 10% of 10 is. 10% of 10 is 1 (10/100 * 10 = 1). Since 90% is nine times larger than 10%, the answer is 9 (1 * 9 = 9).

Real-World Applications

Understanding percentage calculations is crucial in everyday life. Imagine you're buying an item for $10 with a 90% discount. Using this calculation, you'd know the discount is $9, and you'd only pay $1. Similarly, if you received a 90% score on a 10-point quiz, you would have earned 9 points.

Conclusion

Calculating 90% of 10 is straightforward, resulting in an answer of 9. Whether you use the decimal method, the fraction method, or proportional reasoning, the process is relatively easy and applicable to a wide range of situations. Mastering percentage calculations will improve your mathematical skills and your ability to handle everyday financial and statistical problems.