Are all repeating decimals rational numbers?
Understand the Problem
The question is asking whether all repeating decimals can be classified as rational numbers. A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits. We will determine the relationship between repeating decimals and rational numbers.
Answer
All repeating decimals are rational numbers.
The final answer is all repeating decimals are rational numbers. Repeating decimals are those in which one number or a pattern of numbers repeats indefinitely.
Answer for screen readers
The final answer is all repeating decimals are rational numbers. Repeating decimals are those in which one number or a pattern of numbers repeats indefinitely.
More Information
Repeating decimals are numbers that have a repeating pattern and can be expressed as fractions. This property makes them rational.
Tips
A common mistake is to think that repeating decimals are irrational due to their non-terminating nature, but they are rational due to their recurring pattern.
Sources
- Are repeating decimals always rational numbers? - homework.study.com
- Repeating decimals and rational numbers - Math Central - mathcentral.uregina.ca
- Repeating decimal - Wikipedia - en.wikipedia.org
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