If the product of two different numbers equals 1, and one of the numbers is greater than one and the other number is _____________. Give an example to support your answer.
2007-07-19 04:39:05 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
x * y = 1
and since one of the numbers is greater than 1 lets say y=2
If y = 2 then
x * 2 = 1
or
x = 1 / 2
or
x = .5
and to prove that it is true
x * y = 1
(.5) * (2) = 1
(yeah yeah.. I read the original question wrong initially its corrected now)
How about another example... lets try with 4
x*y=1
x*4=1
x= 1/4
x=.25
testing...
(.25) * (4) = 1
Yup that works too
2007-07-19 04:55:36 · answer #1 · answered by David D 4 · 0⤊ 3⤋
"and the other number is _______________"
ans: a positive fraction between, but not including, 0 and 1.
Reason:
1 = +1, which is a positive value.
a number "greater than one" is a positive value larger than 1.
So, when one number is a postive value larger than 1, the 2nd number MUST be a positve fraction between 0 and 1 in order to get an answer of 1.
Ex: x * y = 1
x = 1/y and y = 1/x
If x = 3, then solve for y --> y = 1/3.
If x = 1/4, then solve for y --> y = 4.
Just by observation x = 1/y ..... If y is a value > 1, then it x is automatically a fraction less than 1. (vice versa with y)
2007-07-19 12:53:15 · answer #2 · answered by Jim L 2 · 1⤊ 0⤋
Between 0 and 1.
The others have provided examples
2007-07-19 12:07:52 · answer #3 · answered by dogsafire 7 · 0⤊ 1⤋
If xy=1 and x is greater than one, then y should be less than one because y=1/x is a proper fraction.
If x=2, then y=1/2
It x=3, then y=1/3
It x=4, then y=1/4
...
If x=100, then y=1/100
...
And so on...
http://www.math-videos-online.com
2007-07-19 14:17:16 · answer #4 · answered by mathvideosonline.com 2 · 1⤊ 2⤋
Use variables to replace the unknowns and solve from there.
2007-07-19 11:43:40 · answer #5 · answered by Anonymous · 0⤊ 2⤋
2.0x0.5=1.0
2007-07-19 11:47:46 · answer #6 · answered by Beatle fanatic 7 · 0⤊ 3⤋