"The cube of a number is always greater than the number"
i'm really, really cruddy with finding counterexamples for conjectures! please help!
2007-09-20 11:40:07 · 5 answers · asked by BLEH 1 in Science & Mathematics ➔ Mathematics
(1/2)^3
every power of a number between 0 and 1 is smaller than itself
only number equal to itself times any power is 1
only numbers equal to themselves times odd powers are -1 and 1
every odd power greater than 3 of a negative number smaller than -1 is smaller than itself
2007-09-20 11:46:53 · answer #1 · answered by Anonymous · 0⤊ 0⤋
if the number is greater than or equal to 0 and less than or equal to 1. then the statement is false.
ex. (1/2) ^ 3 = (1/8)
(1/8) < (1/2)
2007-09-20 11:44:41 · answer #2 · answered by Anonymous · 0⤊ 0⤋
0^3
2007-09-20 11:44:14 · answer #3 · answered by puurplemooose 6 · 0⤊ 0⤋
Well, first of all 1 cubed is still 1.
1x1x1 = 1
2007-09-20 11:44:28 · answer #4 · answered by CG 6 · 0⤊ 0⤋
0 cubed, 1 cubed, or any negative number
2007-09-20 11:47:31 · answer #5 · answered by roy 3 · 0⤊ 0⤋