2.1: Square Me
Here are some numbers in a list:
1, 3, $\text\frac12$, 3, 2, $\frac14$, 0.5

How many different numbers are in the list?
 Make a new list containing the squares of all these numbers.

How many different numbers are in the new list?
 Explain why the two lists do not have the same number of different numbers.