Expressions

1. Evaluate manually the following expressions. Then type them in a Python shell and check the result.

   1. Division

   15/3
   15//3
   17/3
   17//3
   17%3
   -17//3
   -17%3
   17/-3
   -17/-3
   

   2. Priority rules

   3*4+2
   (3*4)+2
   3*(4+2)
   7+2**3
   7+(2**3)
   (7+2)**3
   2**2**3
   2**(2**3)
   (2**2)**3
   

   3. Boolean expressions

   2 > 4 or 2 > 1
   2 > 4 and 2 > 1
   2 < 4 and not(3 > 5 or 7 < 8)
   

   4. Expressions with strings

   'How' + ' are ' + 'you ?'
   'Fine '*3
   'I have '+ str(3) + ' sisters.'
   

2. Write the following mathematical expressions using the Python syntax (use the minimum number of parenthesis):

   1. \(\frac{x+2y-1}{z}\)

   2. \(\frac{4x}{2y+3z}\)

   3. \(\frac{5xy}{2z}\)

   4. \(\frac{x}{4yz}\)

   5. \(\frac{x^5}{3} + \frac{(2x-1)^3}{6} + \frac{x}{12} + 1\)

   6. \(\frac{y^3 \tan x}{cos(y^2)-3}\)

   7. \(\frac{|8x-4y|}{\sqrt{x^2+cos(y)+4}}\)

   You can find the solution in file expressions.py