What is 25% of 380? (1 point)
The Correct Answer and Explanation is:
The correct answer is 95.
To find 25% of 380, you simply multiply 380 by 0.25 (since 25% is equivalent to 0.25 as a decimal). Here’s the step-by-step calculation:
[
25\% \, \text{of} \, 380 = 380 \times 0.25
]
Now, multiply 380 by 0.25:
[
380 \times 0.25 = 95
]
So, 25% of 380 is 95.
Explanation:
Percentages represent a fraction of 100. When you are asked to find 25% of a number, you’re essentially finding a quarter (1/4) of that number. The reason for this is that 25% means “25 out of every 100,” which is mathematically equivalent to the fraction 1/4. This can be written as:
[
25\% = \frac{25}{100} = \frac{1}{4}
]
Thus, to calculate 25% of a number, you can divide the number by 4. Let’s look at 380 in terms of division:
[
380 \div 4 = 95
]
This division confirms the same result, as dividing 380 by 4 also gives us 95.
Alternatively, you can express 25% as a decimal (0.25), which is what we did in the original calculation. Using decimals often simplifies the process, especially when performing the multiplication directly:
[
380 \times 0.25 = 95
]
In everyday life, percentages are commonly used in financial calculations, such as determining discounts or taxes. For example, if an item costs $380 and there’s a 25% discount, the discount amount would be $95 (which you could subtract from the original price to find the new price). Therefore, understanding how to calculate percentages is a valuable skill for various practical applications.
So, the correct answer is 95.