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Remember that \( 1 \% \) of a number is \( \frac{1}{100} \) of that number. What part of a number is the given percent? \( 10 \% \)

Ask by Lyons Potter. in the United States
Jan 25,2025

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Tutor-Verified Answer

Answer

\( 10\% \) of a number is one-tenth of that number.

Solution

To determine what part of a number \( 10\% \) represents, let's break it down: 1. **Understanding Percentages:** - The term "\(\% \)" stands for "per hundred." - Therefore, \( 1\% \) of a number is \( \frac{1}{100} \) of that number. 2. **Calculating \( 10\% \):** - Using the same logic, \( 10\% \) means \( \frac{10}{100} \) of the number. - Simplifying \( \frac{10}{100} \) gives \( \frac{1}{10} \). 3. **Conclusion:** - \( 10\% \) of a number is equal to \( \frac{1}{10} \) of that number. **Example:** If the number is 50, \[ 10\% \text{ of } 50 = \frac{1}{10} \times 50 = 5 \] So, \( 10\% \) represents one-tenth of the original number. **Answer:** \( 10\% \) of a number is equal to one tenth of that number, or \( \frac{1}{10} \) of it.

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When you're looking for \( 10\% \) of a number, you're essentially calculating \( \frac{10}{100} \) of that number, which simplifies to \( \frac{1}{10} \). This means you would take the whole number and divide it by 10 to find \( 10\% \) of it. For example, if the number is 50, then \( 10\% \) of 50 would be \( 50 \div 10 = 5 \). In real-world scenarios, understanding percent calculations can be super handy! Whether you're figuring out a tip at a restaurant or discount prices during a sale, knowing how to convert percentages to fractions lets you quickly apply these concepts without breaking a sweat. So next time you see a sale sign offering \( 10\% \) off, you'll know exactly how much you're saving!

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