67.98% as a decimal.
The Correct Answer and Explanation is :
To convert a percentage to a decimal, you divide the percentage by 100.
Calculation:
67.98% as a decimal is calculated as follows:
[
\text{Decimal} = \frac{67.98}{100} = 0.6798
]
Explanation:
Percentages are a way of expressing a number as a fraction of 100. The term “percent” literally means “per hundred.” Thus, when you have a percentage like 67.98%, it can be interpreted as 67.98 out of 100. To convert this into a decimal, you need to express it in terms of 1 instead of 100. This is done by dividing the percentage value by 100.
In this case, dividing 67.98 by 100 gives you 0.6798. This decimal representation makes it easier to perform calculations, especially in mathematical operations like addition, subtraction, multiplication, or division.
Decimal representations are particularly useful in various fields, such as finance, science, and statistics, where precise calculations are essential. For example, if you’re calculating the results of a survey, knowing the decimal form allows for easier computation of averages, ratios, or proportions.
When working with decimals, it’s also important to note the significance of each digit after the decimal point. In our case, the digit ‘6’ represents six-tenths, ‘7’ represents seven-hundredths, ‘9’ represents nine-thousandths, and ‘8’ represents eight-ten-thousandths. This detail helps in understanding the value and precision of the number.
Overall, converting percentages to decimals is a fundamental mathematical skill that allows for clear communication of values and is essential for accurate calculations across different contexts.