find the percent B) 0.20% of 3,542
find the percent B) 0.20% of 3,542
The Correct Answer and Explanation is:
Final Answer:
0.20% of 3,542 is 7.084.
Step-by-Step Calculation:
To find 0.20% of 3,542, follow this process:
- Understand what a percent means:
“Percent” means “per hundred.” So, 0.20% means 0.20 per 100. - Convert percent to a decimal:
To do this, divide the percent by 100: 0.20%=0.20100=0.0020.20\% = \frac{0.20}{100} = 0.002 - Multiply the decimal by the number:
Now multiply 0.002 by 3,542: 0.002×3,542=7.0840.002 \times 3,542 = 7.084
Explanation:
Finding a percentage of a number is a very common operation in mathematics, especially useful in real-life applications like discounts, interest rates, statistics, and data interpretation. In this problem, we are tasked with finding 0.20% of 3,542, which appears like a small and specific figure. Although the percent value is less than one, the process of calculating it remains the same.
To find any percent of a number, the key is to convert the percent into a decimal equivalent. This step is crucial because percentages are ratios out of 100. For instance, 50% is 0.50, and 25% is 0.25. Similarly, 0.20% becomes 0.002 as it is divided by 100. This means that for every 100 units, we take 0.20. When we apply this to 3,542, we are essentially asking, “What is 0.002 times 3,542?”
Multiplying these gives us 7.084, which can be interpreted as a small portion of the whole number. This result makes sense because 0.20% is much less than 1%, and 1% of 3,542 would be about 35.42. Therefore, 0.20% should be around one-fifth of that, which checks out.
Understanding this concept is not just helpful for math problems but also useful in areas like finance or science. For example, small percentage values can represent microscopic changes in data trends or minor gains and losses in financial records. Being able to interpret and calculate such figures accurately is a fundamental skill.
