Is a Repeating Decimal Rational? Unraveling the Number Theory Connection


Is a Repeating Decimal Rational? Unraveling the Number Theory Connection


Is a Repeating Decimal a Rational Number?

The question of whether a repeating decimal is a rational number holds great significance in mathematics. A rational number is a number that can be expressed as a fraction of two integers. Repeating decimals represent values that continue indefinitely and repeat the same pattern of digits. For example, the decimal 0.333… (where the 3s repeat infinitely) can be written as the fraction 1/3, making it a rational number.

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