What number is 15% of 64?
The Correct Answer and Explanation is :
To find 15% of 64, you can use the formula for calculating a percentage of a number:
[
\text{Percentage of a number} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Number}
]
In this case, you want to calculate 15% of 64. Plugging in the numbers:
[
15\% \text{ of } 64 = \left(\frac{15}{100}\right) \times 64
]
First, simplify (\frac{15}{100}):
[
\frac{15}{100} = 0.15
]
Now, multiply this by 64:
[
0.15 \times 64 = 9.6
]
Therefore, 15% of 64 is 9.6.
Explanation of Percentage Calculation
Calculating percentages is a fundamental mathematical skill that is applicable in various real-world contexts, including finance, statistics, and everyday decision-making. A percentage represents a fraction of 100, making it a useful way to express ratios or proportions. When you want to determine what percentage a particular value represents, the percentage is multiplied by the number in question.
In the example above, we first converted the percentage (15%) into a decimal by dividing by 100, resulting in 0.15. This transformation is crucial, as it allows us to work with the percentage in a way that is mathematically manageable. Multiplying the decimal (0.15) by the total number (64) gives us the value that represents 15% of that total.
Understanding how to calculate percentages is valuable in various scenarios, such as determining discounts during shopping, calculating tax on purchases, or understanding statistical data. For instance, if a store offers a 15% discount on a $64 item, knowing that the discount amounts to $9.6 can help consumers make informed purchasing decisions.
In summary, calculating 15% of 64 yields a result of 9.6, illustrating the practical application of percentage calculations in everyday life.