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Amy made the following conjecture: When any number is multiplied by itself, the product will be greater than this starting number.
For example: in 2x2=4, the product 4 is greater than the starting number 2.
Megan disagreed with Amy's conjecture, however,
[tex] \frac{1}{2 } \times \frac{1}{2} = \frac{1}{4} [/tex]
and
[tex] \frac{1}{4} [/tex]
is less than
[tex] \frac{1}{2} [/tex]
how could Amy's conjecture be improved? Explain the change(s) you would make

Respuesta :

AmKrGr
Change the conjecture to: The product of a number and itself will be greater than the number if the number is greater than one.
nap14hockey

Amy's conjecture can be improved by including a limit.  Since any number greater than one multiplied by itself will be greater (for example, 2x2 = 4).  But, any number less than one (excluding zero, but including negatives) will yield a smaller result.


Amy's conjecture should be

"When a number greater than 1 is multiplied by itself, the product will be greater than the starting number,"