Define a Field - Pre-Calculus
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Question
Which of the following is not true about a field. (Note: the real numbers 
is a field)
Which of the following is not true about a field. (Note: the real numbers
Answer
It is not the case that for any element 
in a field, there is another one 
such that their product is 
. Take 
in the real numbers. Multiply 
by any number and you get 
, so you will never get 
. This is true for any field that has more than 1 element.
It is not the case that for any element
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