What is 1 out of 500 as a percentage?
The Correct Answer and Explanation is :
To convert 1 out of 500 to a percentage, you divide 1 by 500 and then multiply by 100:
[
\frac{1}{500} \times 100 = 0.2\%
]
Explanation:
When expressing a fraction as a percentage, the general rule is to divide the numerator (the number on top) by the denominator (the number on the bottom) and multiply the result by 100. This gives you a direct conversion to percentage form.
Steps:
- Start with the fraction: You have the fraction 1/500.
- Divide 1 by 500:
[
1 \div 500 = 0.002
] - Multiply by 100:
To express this as a percentage, multiply the result by 100.
[
0.002 \times 100 = 0.2\%
]
So, 1 out of 500 is equivalent to 0.2%.
Practical Example:
Percentages are used in everyday life to express proportions, changes, and comparisons. In this example, 1 out of 500 means that for every 500 units (such as people, products, or events), only 1 fits the category you’re considering. If you had 500 marbles, and one of them was red, the percentage of red marbles would be 0.2%. This helps quantify and easily communicate small proportions.
This concept is particularly useful when analyzing rare occurrences or when working with large datasets, where the number you’re interested in represents a small fraction of the whole.