How do you find 25 percent of 1,000
The Correct Answer and Explanation is :
To find 25 percent of 1,000, you can use a simple mathematical formula. Percentages represent a fraction of a whole number, and finding a percentage involves multiplying the whole number by the percentage expressed as a decimal.
Here’s how you can do it step by step:
- Convert the Percentage to a Decimal: To convert a percentage to a decimal, divide the percentage by 100. For 25 percent:
[
25\% = \frac{25}{100} = 0.25
] - Multiply by the Whole Number: Next, multiply the decimal by the number you want to find the percentage of. In this case, you want to find 25 percent of 1,000:
[
0.25 \times 1,000 = 250
]
Thus, 25 percent of 1,000 is 250.
Explanation
Finding a percentage is a common calculation in everyday life, from determining discounts during shopping to calculating grades in school. Understanding how to convert percentages into decimals is crucial because it simplifies calculations.
In this example, we started with the number 1,000. Percentages are essentially parts per hundred; therefore, when we say 25 percent, it means 25 out of every 100 parts of the whole. By converting 25 percent into its decimal form (0.25), we make it easier to perform multiplication.
The multiplication step reflects the idea that we are taking a quarter (25 percent) of the total (1,000). Since 1,000 can be thought of as a complete set, taking a quarter means dividing it into four equal parts. Each part would then be 250, and since 25 percent is equivalent to one of those parts, the answer confirms that 25 percent of 1,000 equals 250.
Understanding this concept not only helps in mathematical contexts but also in practical applications such as budgeting, finance, and statistical analysis. By mastering percentage calculations, you can make informed decisions based on numerical data in various situations.