# Precalculus : Define a Field

## Example Questions

### Example Question #1 : Real Numbers

Which of the following is not true about a field. (Note: the real numbers  is a field)

For every element  in the field, there is another element  such that their product   is equal to , where  is the multiplicative identity,  in the case of real numbers.

For every element  in the field, there is another element  such that their sum  is equal to , where  is the additive identity.

We have  for any  and  in the field.

There is an element  in the field such that  for any element  in the field.

A field can be defined in many ways.