Define a Field - Pre-Calculus
Card 0 of 4
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  is a field)
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  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.
Compare your answer with the correct one above
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  is a field)
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  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.
Compare your answer with the correct one above
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  is a field)
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  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.
Compare your answer with the correct one above
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  is a field)
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  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.
Compare your answer with the correct one above