Since repeated decimals are rational in nature, hence, 6.565656... is rational
Rational numbers are numbers that can be written as the ratio of two integers. For example:
- 1/2, 3/4, are rational numbers
All repeating decimals are also classified as rational numbers. For example:
- pi is a repeating decimal
The given decimal value 6.565656... is a repeating decimal. The three dots after the decimal values shows that the number is a repeating decimal.
Since repeated decimals are rational in nature, hence, 6.565656... is rational
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