A class has 25 students. 44% of the students are boys. How many boys are in the class? (Enter numeric value only.
0.
The correct answer and Explanation is :
To determine the number of boys in a class of 25 students where 44% of the students are boys, follow these steps:
- Convert the percentage to a decimal: To work with percentages, convert the percentage to a decimal form. Here, 44% is equivalent to 0.44.
- Calculate the number of boys: Multiply the total number of students by the decimal form of the percentage. This will give you the number of boys. [
\text{Number of boys} = 0.44 \times 25
] - Perform the multiplication: [
0.44 \times 25 = 11
]
So, the number of boys in the class is 11.
Explanation:
Percentages are a way of expressing a number as a fraction of 100. To find a specific percentage of a total number, you first convert the percentage to a decimal. In this case, 44% converts to 0.44 because 44 divided by 100 is 0.44.
By multiplying the total number of students (25) by this decimal (0.44), you determine the portion of the class that are boys. This multiplication operation is straightforward and effectively distributes the percentage across the total number.
Mathematically, when you multiply 0.44 by 25, you are calculating 44 percent of 25. Performing the multiplication step-by-step:
[
0.44 \times 25 = 11
]
The result is 11, meaning there are 11 boys in the class. This process illustrates how percentages relate to actual numbers, allowing you to determine specific quantities based on a given percentage of a total.