25% of 48 is what value?
The Correct Answer and Explanation is:
To find 25% of 48, you can follow these steps:
- Convert the percentage to a decimal:
Percentages are always out of 100, so to convert 25% to a decimal, divide 25 by 100:
[
25\% = \frac{25}{100} = 0.25
] - Multiply the decimal by the given number:
To find 25% of 48, multiply 0.25 by 48:
[
0.25 \times 48 = 12
]
So, 25% of 48 is 12.
Explanation:
Percentages are a way of expressing a number as a fraction of 100. In this case, 25% means 25 parts out of 100, which can be translated into a fraction or decimal for easy calculation. For example, 25% can be written as ( \frac{25}{100} ) or 0.25.
When solving problems involving percentages, the key steps are converting the percentage to a decimal and then multiplying it by the given quantity. This method applies to finding any percentage of a number. For example, to find 10% of a number, you would multiply that number by 0.10; for 50%, you would multiply by 0.50, and so on.
In this specific case, since we are finding 25% of 48, multiplying 48 by 0.25 gives us the value 12. This means that 12 is 25% of 48, or one-quarter of the total.
Understanding percentages is important in many real-life applications, such as calculating discounts, determining interest rates, and analyzing data. For example, if a store offers a 25% discount on a $48 item, you would save $12, leaving you to pay the remaining $36. Therefore, mastering percentage calculations can be very useful in financial decisions, shopping, and more.