What is 25 percent of 28? A. 6 B. 7 C. 8 D. 4 E. None of the above
The Correct Answer and Explanation is :
To find 25 percent of 28, we need to calculate ( 28 \times 0.25 ).
Here’s the calculation:
[
28 \times 0.25 = 7
]
The correct answer is B. 7.
Explanation
Understanding Percentages
Percentages represent a part of a whole, specifically out of 100. So, when we say 25 percent, it means 25 out of 100, or simply ( \frac{25}{100} ) in fraction form. This fraction can also be expressed as the decimal ( 0.25 ).
Why Multiply by 0.25?
To find a percentage of a number, we convert the percentage into a decimal and multiply it by the number. For example:
- Start with the percentage: 25%.
- Convert to a decimal by dividing by 100: ( \frac{25}{100} = 0.25 ).
- Now, multiply this decimal by the number we want a percentage of: ( 28 \times 0.25 = 7 ).
Alternative Method: Using Fractions
Another way to find 25 percent of a number is to express 25 percent as the fraction ( \frac{1}{4} ). This works because 25 is one-fourth of 100. Now we can simply divide 28 by 4 to find one-fourth of it:
[
28 \div 4 = 7
]
Both methods give the same answer, confirming that 7 is correct.
Verification with Estimation
If you approximate, 25 percent is a quarter of the whole. If 28 were divided into four equal parts, each part would be around 7. So, 25 percent of 28 is indeed 7.
Thus, the correct answer is B. 7.