Find the percent of the number.
30% of 30 is
Explain your method.
The Correct answer and Explanation is :
The correct answer is: 9
To find 30% of 30, you can follow these steps:
- Understand Percent: A percent is a way of expressing a number as a fraction of 100. Therefore, 30% can be written as a fraction:
[
30\% = \frac{30}{100} = 0.30
] - Set Up the Calculation: To find 30% of 30, you multiply 30 by the decimal representation of 30%, which is 0.30. The equation can be set up as:
[
\text{30\% of 30} = 30 \times 0.30
] - Perform the Multiplication: Now, you calculate:
[
30 \times 0.30 = 9
]
Thus, 30% of 30 is 9.
Explanation
The calculation of a percentage involves a few key concepts in mathematics. First, understanding that percentages are essentially parts of a whole is crucial. The term “percent” literally means “per hundred,” which means that when we talk about 30%, we are discussing 30 parts out of 100. To find this in practical terms, we convert the percentage into a decimal by dividing by 100, as shown above.
In this case, we needed to find 30% of the number 30. By multiplying the number (30) by the decimal equivalent of the percentage (0.30), we effectively scaled down the original number to find the specified portion. This method can be applied universally to calculate any percentage of any number by simply changing the numbers involved in the multiplication.
This process can be visualized in various ways, such as using pie charts or grids, where you can see how 30% of a whole is represented. Additionally, this same approach applies in everyday scenarios, such as calculating discounts, taxes, or determining grades in school. Understanding percentages is a valuable skill that helps in making informed decisions based on numerical data, which is essential in many aspects of life.
In summary, 30% of 30 equals 9, demonstrating how simple arithmetic can provide valuable insights into parts of a whole.