Convert 57.6% to a decimal.
The Correct Answer and Explanation is :
To convert a percentage to a decimal, you divide the percentage value by 100. This is because the term “percent” literally means “per hundred.” For example, to convert 57.6% to a decimal:
- Start with the percentage: 57.6%.
- Divide by 100: [
57.6 \div 100 = 0.576
]
Thus, 57.6% expressed as a decimal is 0.576.
Explanation
Understanding how to convert percentages to decimals is an essential skill in various fields, including mathematics, finance, and statistics. Percentages are often used to represent parts of a whole, which makes them useful in comparing relative sizes, determining proportions, and analyzing data. However, in many mathematical calculations, it is more convenient to work with decimals.
To convert a percentage to a decimal, you can think of it as shifting the decimal point two places to the left. For example, the percentage 57.6% has a decimal representation of 0.576. This method is straightforward because it aligns with the basic definition of a percentage.
Furthermore, when working with percentages in calculations, especially in formulas involving fractions or ratios, converting to decimals simplifies the arithmetic. For example, if you need to calculate 57.6% of a value (let’s say 200), converting the percentage to a decimal first makes the multiplication easier:
[
0.576 \times 200 = 115.2
]
This calculation indicates that 57.6% of 200 is 115.2.
Overall, converting percentages to decimals is a foundational mathematical operation that aids in various calculations and analyses, enhancing comprehension and accuracy in mathematical tasks. Mastering this skill will also benefit you in fields that rely heavily on numerical data, such as business, science, and engineering.