2. The Real Number System
Ordered Fields — Quiz
Test your understanding of ordered fields with 5 practice questions.
Practice Questions
Question 1
In an ordered field, if $a<b$, what must be true after adding the same element $c$ to both sides?
Question 2
If $0<a$ and $0<b$ in an ordered field, what can you conclude about $ab$?
Question 3
Which of the following is an ordered field under the usual operations and the usual order?
Question 4
Which statement is always true about squares in an ordered field?
Question 5
If $a<0$ and $a\ne 0$ in an ordered field, what is the sign of $a^{-1}$?