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math shmath what is the answer?

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.

Top 6 Answers
David D

Favorite Answer

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

0

Jim L
“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)

1

dogsafire
Between 0 and 1.

The others have provided examples

0

mathvideosonline.com
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

1

Anonymous
Use variables to replace the unknowns and solve from there.
0

Beatle fanatic
2.0×0.5=1.0
0

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