-as-a-percent.jpeg "0.(6) As A Percent")
0.(6) as a Percent
Introduction
In mathematics, 0.(6) is a repeating decimal that can be converted to a percentage. In this article, we will explore how to convert 0.(6) to a percentage and understand its significance.
What is 0.(6)?
0.(6) is a repeating decimal where the digit 6 is repeated indefinitely. This can be written as 0.666... or 0.6̄. Repeating decimals are a type of non-terminating decimal that can be expressed as a fraction.
Converting 0.(6) to a Percentage
To convert 0.(6) to a percentage, we can follow these steps:
- Convert 0.(6) to a fraction: 0.(6) = 2/3
- Divide the numerator (2) by the denominator (3): 2 ÷ 3 = 0.666...
- Move the decimal point two places to the right: 0.666... × 100 = 66.6%
Therefore, 0.(6) as a percentage is 66.6%.
Real-World Applications
Understanding how to convert 0.(6) to a percentage is essential in various real-world applications, such as:
- Finance: Calculating interest rates, investment returns, and discounts often involve working with percentages.
- Statistics: Converting decimals to percentages is necessary when analyzing data and presenting results.
- Science: Percentages are used to express proportions and ratios in scientific research and applications.
Conclusion
In conclusion, 0.(6) as a percentage is 66.6%. Understanding how to convert repeating decimals to percentages is a fundamental skill in mathematics and has numerous practical applications. By mastering this concept, individuals can better understand and work with percentages in various fields.
