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22 October, 19:39

Show that 30.1111 ... is a rational number.

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  1. 22 October, 19:51
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    We know that 30.1111 ... is a rational number because it ends in repeating decimals. We can show this by writing the number as a fraction using algebra.

    x = 30.1111 ...

    10x = 301.1111 ...

    Subtract both sides by x

    10x - x = 301.1111 ... - 30.1111 ...

    9x = 271

    x = 271/9

    The number can be rewritten as 271/9, which you can verify is the same number by checking on a calculator.
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