Convert 78% to a decimal
The Correct Answer and Explanation is :
The correct answer is: 0.78
To convert a percentage to a decimal, you divide the percentage by 100. For example, to convert 78% to a decimal:
[
78\% = \frac{78}{100} = 0.78
]
Explanation
Understanding how to convert percentages to decimals is a fundamental mathematical skill that is widely applicable in various fields, including finance, statistics, and everyday life. A percentage represents a portion of 100, which means that the term “percent” literally translates to “per hundred.” Thus, when you see a percentage, it indicates how many parts out of 100 you have.
The conversion process is straightforward. To convert a percentage to a decimal, you simply divide the percentage by 100. This can be thought of as shifting the decimal point two places to the left. For instance, in the case of 78%, moving the decimal point two places left transforms it into 0.78.
This conversion is particularly useful when performing calculations that require a decimal format. For example, if you are calculating a discount on an item priced at $100, knowing that 78% translates to 0.78 helps you quickly determine the amount to be deducted.
In real-world scenarios, percentages often appear in contexts such as interest rates, statistics, and data analysis. Understanding how to switch between percentages and decimals allows for easier calculations, as decimals are typically easier to manipulate mathematically than percentages.
Additionally, knowing how to perform this conversion is crucial in fields such as science and economics, where precise measurements and calculations are necessary. For example, in a research study, presenting data as percentages is common, but the calculations for statistical analysis often require decimal forms.
In summary, converting percentages like 78% to decimals (0.78) is a vital skill that enhances comprehension and calculation efficiency across various disciplines.