1. ## 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

2. Originally Posted by Cassy
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

Originally Posted by Cassy
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.