Write 15.27% as a decimal.
The Correct Answer and Explanation is :
To convert the percentage 15.27% into a decimal, follow these simple steps:
- Understanding the Percent Symbol: The percent symbol (%) signifies that the number is out of 100. Therefore, 15.27% means 15.27 out of 100.
- Dividing by 100: To convert a percentage to a decimal, you divide the percentage by 100. This process shifts the decimal point two places to the left. For example:
[
15.27\% = \frac{15.27}{100}
]
When you perform the division, you get:
[
15.27 \div 100 = 0.1527
] - Result: Thus, the decimal equivalent of 15.27% is 0.1527.
Explanation of Conversion Process
When we express a percentage, it provides a clear way to quantify a value in relation to a whole, which is typically 100. This is commonly used in various fields, including finance, statistics, and everyday life, to represent proportions or ratios.
Converting percentages to decimals is a fundamental mathematical operation, especially important in calculations involving fractions, ratios, and percentages. For example, in financial contexts, interest rates, discounts, and profit margins are often expressed as percentages. By converting these percentages into decimals, we can easily perform calculations, such as determining the actual amount of money saved with a discount or calculating interest earned on an investment.
Additionally, understanding how to convert between percentages and decimals is crucial in data analysis. It enables clearer representation of data, such as when graphing results or interpreting survey responses.
In summary, the conversion from percentage to decimal is achieved by dividing the percentage by 100, which effectively transforms the number into a format that is easier to manipulate mathematically. In this case, 15.27% as a decimal is 0.1527.