what is 10 of 165

Natashya

less than a minute read

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22-12-2024

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What is 10% of 165? A Simple Calculation Explained

Finding 10% of a number is a fundamental calculation with many real-world applications, from calculating sales tax to determining discounts. Let's explore how to easily calculate 10% of 165.

Understanding Percentages

Percentages represent fractions out of 100. 10% means 10 out of 100, or 10/100, which simplifies to 1/10. Therefore, finding 10% of a number is the same as finding one-tenth of that number.

Method 1: Using Decimal Multiplication

The simplest method involves converting the percentage to a decimal and multiplying:

1. Convert the percentage to a decimal: 10% is equivalent to 0.10 (or simply 0.1).
2. Multiply the decimal by the number: 0.1 * 165 = 16.5

Therefore, 10% of 165 is $\boxed{16.5}$

Method 2: Dividing by 10

Since 10% is one-tenth, we can directly divide the number by 10:

1. Divide the number by 10: 165 / 10 = 16.5

This method is faster for calculating 10% and avoids the need for decimal multiplication. Simply move the decimal point one place to the left.

Method 3: Using Fractions

As mentioned earlier, 10% is equal to the fraction 1/10. Therefore:

1. Multiply the number by the fraction: 165 * (1/10) = 16.5

This approach reinforces the understanding of percentages as fractions.

Real-World Applications

Understanding how to calculate 10% is useful in many everyday situations, including:

• Sales Tax: Many regions have a sales tax of around 10%. Calculating 10% of the pre-tax price helps estimate the total cost.
• Discounts: Stores often offer discounts of 10% or more. Knowing how to calculate 10% allows you to quickly determine the savings.
• Tips: Calculating a 10% tip is a simple way to show appreciation for service.
• Commission: Salespeople often earn a commission based on a percentage of sales, sometimes 10%.

Conclusion

Calculating 10% of 165 is straightforward, resulting in 16.5. The three methods outlined—decimal multiplication, division by 10, and using fractions—all provide accurate results. Mastering this calculation is a valuable skill with broad applications in various aspects of daily life. Remember that understanding percentages is key to financial literacy and problem-solving.