Which expresses (0.075) as a percent?
Options: 1. (0.75%)
2. (0.075%)
3. (75%)
4. (7.5%)””
The Correct Answer and Explanation is :
The correct answer is: 4. (7.5%)
To convert a decimal to a percent, you multiply the decimal by 100 and then add the percent symbol (%). Here’s how to convert 0.075 into a percentage:
- Multiply by 100:
[
0.075 \times 100 = 7.5
] - Add the percent sign:
[
7.5\%
]
Thus, 0.075 expressed as a percent is 7.5%.
Explanation
The concept of converting decimals to percentages is fundamental in mathematics, particularly in statistics, finance, and various scientific fields. A percentage represents a fraction of 100, making it a useful way to express proportions or comparisons in a more intuitive manner.
When we say “percent,” we are referring to a part of a whole that has been divided into 100 equal parts. This means that percentages are a way of expressing how much of something we have compared to a total. For example, if you have 7.5% of a class of 100 students, it means you have 7.5 students (though you cannot have a fraction of a student, it helps illustrate the concept).
In practice, when you encounter a decimal, it is often helpful to convert it into a percentage to make the data easier to interpret. For example, if you are analyzing data on student performance, saying that 0.075 of the students passed is less clear than saying that 7.5% of the students passed.
This conversion is commonly used in everyday situations, such as calculating discounts in shopping, assessing interest rates in finance, or evaluating statistical data.
Answer
From the provided options, the correct answer is 4. (7.5%).