What Is $185\%$ Of $38$?A. 7.03 B. 70.3 C. 703 D. 7030
What is of ?
Understanding Percentages and Calculations
In mathematics, percentages are a way to express a value as a fraction of . To find a percentage of a number, we multiply the number by the percentage value, which is expressed as a decimal. In this case, we need to find of .
Converting Percentages to Decimals
To convert a percentage to a decimal, we divide the percentage value by . So, is equal to . Now, we can multiply by to find the result.
Calculating of
To calculate of , we multiply by . This can be done using a calculator or by performing the multiplication manually.
Evaluating the Answer Choices
Now that we have calculated of , we can evaluate the answer choices.
A. - This is incorrect, as it is not equal to .
B. - This is correct, as it is equal to of .
C. - This is incorrect, as it is not equal to .
D. - This is incorrect, as it is not equal to .
Conclusion
In conclusion, of is equal to . This can be calculated by converting the percentage to a decimal and then multiplying the number by the decimal value. The correct answer is B. .
Additional Tips and Examples
- To find a percentage of a number, multiply the number by the percentage value as a decimal.
- To convert a percentage to a decimal, divide the percentage value by .
- Practice calculating percentages of numbers to become more comfortable with the concept.
Real-World Applications of Percentages
Percentages are used in many real-world applications, such as:
- Calculating tips at restaurants
- Determining interest rates on loans
- Finding discounts on purchases
- Understanding sales tax rates
Common Mistakes to Avoid
- Forgetting to convert the percentage to a decimal before multiplying
- Multiplying the percentage value by the number without converting it to a decimal
- Not checking the answer choices carefully before selecting the correct answer
Conclusion
In conclusion, calculating percentages of numbers is an essential skill in mathematics. By understanding how to convert percentages to decimals and then multiplying the number by the decimal value, we can find the correct answer. The correct answer is B. .
What is of ? - Q&A
Frequently Asked Questions
In this article, we will answer some frequently asked questions related to the topic of calculating percentages of numbers.
Q: What is the formula for finding a percentage of a number?
A: The formula for finding a percentage of a number is: (percentage value / 100) × number.
Q: How do I convert a percentage to a decimal?
A: To convert a percentage to a decimal, divide the percentage value by 100. For example, 185% is equal to 185/100 = 1.85.
Q: What is the difference between a percentage and a decimal?
A: A percentage is a way to express a value as a fraction of 100, while a decimal is a way to express a value as a fraction with a denominator of 10. For example, 185% is equal to 1.85.
Q: How do I calculate of ?
A: To calculate of , multiply 38 by 1.85. This can be done using a calculator or by performing the multiplication manually.
Q: What is the correct answer to the question "What is of "?
A: The correct answer is B. .
Q: Why is it important to convert percentages to decimals before multiplying?
A: Converting percentages to decimals before multiplying ensures that the calculation is accurate. If you multiply a percentage value by a number without converting it to a decimal, the result will be incorrect.
Q: Can you provide more examples of calculating percentages of numbers?
A: Yes, here are a few more examples:
- of = (25/100) × 120 = 30
- of = (150/100) × 50 = 75
- of = (200/100) × 30 = 60
Q: How do I apply percentages in real-world situations?
A: Percentages are used in many real-world situations, such as:
- Calculating tips at restaurants
- Determining interest rates on loans
- Finding discounts on purchases
- Understanding sales tax rates
Q: What are some common mistakes to avoid when calculating percentages of numbers?
A: Some common mistakes to avoid when calculating percentages of numbers include:
- Forgetting to convert the percentage to a decimal before multiplying
- Multiplying the percentage value by the number without converting it to a decimal
- Not checking the answer choices carefully before selecting the correct answer
Conclusion
In conclusion, calculating percentages of numbers is an essential skill in mathematics. By understanding how to convert percentages to decimals and then multiplying the number by the decimal value, we can find the correct answer. We hope this Q&A article has provided you with a better understanding of the topic and has helped you to avoid common mistakes.