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Math Help - decimal expansion

  1. #1
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    decimal expansion

    I need you to help solve these questions

    Give the short form, the period, and the length of the period for each rational number.

    (a)5/3
    (b)-5/3
    (c)0.457 457 457..
    (d)5.362 436 243..
    (e)-1.041 313 131..
    (f) 15.012 212 212.

    State which of the following are rational numbers

    (a) /5
    (c) 0
    (d) 0.424 242.
    (e) -9.123 223 323.
    (f) 5/33
    (g)3/4
    (h)-7/0
    (i)-33
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Cassy View Post
    I need you to help solve these questions

    Give the short form, the period, and the length of the period for each rational number.

    (a)5/3
    (b)-5/3
    (c)0.457 457 457..
    (d)5.362 436 243..
    (e)-1.041 313 131..
    (f) 15.012 212 212.
    I hesitate because I'm not sure what you mean by "give the short form". I think you mean the period to be the interval at which the decimal repeats and the length of that repetition.

    (a) 1.666...period = 6, length = 1
    (b) -1.666...period = 6, length = 1
    (c) 0.457...period = 457, length = 3
    (d) 5.3624...period = 3264, length = 4
    (e) -1.0413...period = 13, length = 2
    (f) 15.0122...period = 122, length = 3

    Quote Originally Posted by Cassy View Post
    State which of the following are rational numbers

    (a) /5 Not sure what this one means
    (c) 0 Rational (0/b)
    (d) 0.424 242. Rational (terminating or repeating decimal )
    (e) -9.123 223 323. (Rational (terminating or repeating decimal)
    (f) 5/33 Rational (fraction)
    (g)3/4 Rational (fraction)
    (h)-7/0 Neither Rational nor Irrational. This is undefined in mathematics.
    (i)-33 Rational
    A rational number is any number that can be represented as a fraction in which the numerator and denominators are integers, and the denominator is not equal to zero.

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