# Noemi Cabrera # 16 November 2021 # In this lesson, I learned how to import the math and random python modules. Using the math module, I computed mathematical expressions, # recognized the effect of operator precedence, and rounded real numbers to the nearest integer with the floor,ceiling, & trunchate functions. # Using the random module, I generated (pseudo-)random integers using randint() and randrange(), selected a random element from a list # with the choice() function, and shuffled the elements of a list with the shuffle() function. # I didn't have any major diffulties in this lesson.

# In this code, the math module/library is imported using the import keyword. Then the integer -5 is assigned to the variable 'x' # Then, the fabs function from the math library is used to return the float absolute value of -5. import math x = -5 math.fabs(x)

# In this code, the math module/library is imported and renamed to 'ml'. Then the integer 12 is assigned to the variable 'y' # Then, the fabs function from the math library is used to return the float absolute value of 12. import math as ml y = 12 ml.fabs(y)

# In this code, just the fabs function is imported from the math module/library. # Then, the fabs function from the math library is used to return the float absolute value of -5. from math import fabs fabs(-5)

# In this code, the math module/library is imported. Then, the gcd function from the math library is used to calculate # the greates common divisor of 16 and 28. # [ ] Import the math module and use an appropriate function to find the greatest common divisor of 16 and 28 import math math.gcd(16,28)

# In this code, the only the gcd function is imported from the math library. This function is used to find the greater # common divors of 2 positive integers the user enters. # [ ] Prompt the user to input 2 positive integers then print their greatest common divisor from math import gcd pos_int = int(input("Enter a positive integer:")) pos_int2 = int(input("Enter another positive integer")) print(gcd(pos_int,pos_int2))

# In this code, just the sqrt(square root) function is imported from the math module. Then, this function is # used to find the quare root of the a raised to the sencond plus b raised to the second power. This is stored # in the variable h and the result is printed. from math import sqrt a = 3 b = 4 h = sqrt(a ** 2 + b ** 2) print(h)

# In this code, the modulo operator(%) is used to find the remainder of the division of a number by 2. If the remainder is # 0, this indicates the number is even. If remainder is greater than 0, then the number is odd. # Even number (print 0) print(102 % 2) # Odd Number (print 1) print(77 % 2)

# In this code, the function is_even is defined and takes 1 argument 'n'. This function returns True if the # remainder of diving the number by 2 is 0. If not, the function returns False. Lastly, this function is tested # by entering number 5 as an argument, which displays is an odd number since there is a reminder when you # divide it by 2. # [ ] Fill out the function is_even with a code block that returns True if n is even and returns False if n is odd def is_even(n): #TODO if n % 2 == 0: return True else: return False # Test the function x = 5 if is_even(x): print("Number is even") else: print("Number is odd")

# In this code, the is_even function is defined and takes 1 argument 'n'. This function returns True if the # remainder of the division of the number "n" by 2 equal 0. If the d=reminder doesn't equal 0, then the # function returns false. Lastly, the sqrt function is imported from the math libreary and a for..in loop # iterates through the list 'l'. Each of the numbers is checked if they're even by using the is_even function. # If number is even, then the result of the square root of that number is displayed. If number is not even, # then nothings happens with that number. # [ ] Use the function is_even to print the square root of all the even numbers in the following list l = [25, 34, 193, 2, 81, 26, 44] def is_even(n): return (n % 2) == 0 #TODO from math import sqrt for e_num in l: if is_even(e_num) == True: s_num = sqrt(e_num) print(s_num) else: pass

# In this code, a math operation is done. The multiplication happens first and then the sum because it has # a higher precedence. 5 + 2 * 8

# In this code, a math operation is done. The sum in parentheses is done first and then the multiplication # because parentheses have a higher precedence. (5 + 2) * 8

# In this code, the multiplication should happen first and then the divison. The result is a float, but it's not the # correct answer, which is 1.. 12 / 4 * 3

# To fix the issue in the above cell, we can put that multiplicationin parentheses so that it happens first # and then the division. This results in 1. # Method 1 12 / (4 * 3)

# Another way to fix the issue in the above cell is to divide all the numbers. The divisions starting from left to right # are performed and the result is 1. # Method 2 12 / 4 / 3

# The result of the original operation 4 + 16 / 2 was 12, but we want it to be 10. Therefore, to fix this, I # place 4+16 in parentheses. This way the sum happens first and then teh division, which gives us 10 as a result. # [ ] Correct the following expression so the answer is 10 (4 + 16) / 2

# The result of the original operation 2 * 3 + 2 ** 3 was 14, but we want it to be 250. Therefore, to fix this, I # placed 3+2 in parentheses. This way the sum happens first and then the result is raised to the thrid power, which # gets multiplied by 2 and gives us 250 as a result. # [ ] Correct the following expression so the answer is 250; review the operator precedence table and use only one () pair 2* (3 + 2)** 3

# In this code, the floor, ceil, and trunc functions are imported from the math library. Then floor() is used # to round the float of diving 213/2 down. from math import floor, ceil, trunc prize = 213 option1 = floor(213 / 2) print("You get", option1, " and your friend gets ", prize - option1)

# In this code, the floor, ceil, and trunc functions are imported from the math library. Then ceil() is used # to round the float of diving 213/2 up. from math import floor, ceil, trunc prize = 213 option2 = ceil(213 / 2) print("You get", option2, " and your friend gets ", prize - option2)

# In this code, the function floor is used to round down the number 75.34, which results in 75. On the other hand, # the ceil function is used to round up the number 75.34, which results in 76. # [ ] Use an appropriate rounding function to round 75.34 to 75 and then to 76 import math x = 75.34 print(math.floor(x)) print(math.ceil(x))

# In this code, the orginal price ouput was 869.99... However, we need it to be 870.To fix this, I imported the # math module and used the ceil function to round up the total price, which results in 870. # [ ] Use an appropriate rounding function to fix the following `float` error import math # Price of a chocolate box p = 4.35 # Quantity needed q = 200 # Order total price (Should be 4.35 * 200 = $870.00) total = p * q print("Total price: ", math.ceil(total))

# In this code, the randint function is imported from the random module. This function generates a random number # ranging from 1 through 10, including the start and stop values too. from random import randint print(randint(1, 10))

# In this code, the randrange function is imported from the random module. This function generates a random number # ranging from 1 through 10, including the start but not the stop value of 11. from random import randrange print(randrange(1, 11))

# In this code, the randrange function is imported from the random module. This function generates a random number # ranging from 1 through 10 with a step of 2, including the start but not the stop value of 11. # In this case, this function has 3 arguments: the start, stop, and step value. from random import randrange print(randrange(1, 11, 2))

# In this code, the randint function is imported from the random module. # The die_roller() function is defined and returns a random number ranging from 1 through 6, including the start # and stop values too because the randint() function is used.Laslty, the function is called and a random # number displays. from random import randint def die_roller (): return (randint(1, 6)) # roll a die print(die_roller())

# In this code, the randrange function is imported from the random module. The odd_random() function is defined and returns # a random number ranging from 1 through 102 with a step of 2, including the start but not the stop value of 102. # In this case, this function has 3 arguments: the start, stop, and step value.Lastly, the function is called # and a random number is displayed. from random import randrange def odd_random(): return (randrange(1, 102, 2)) # Generate an odd random integer print(odd_random())

# The die_roller() function is defined and returns a random number ranging from 1 through 6, including the start # but not the stop value because the randrange() function is used. Lastly, the function is called and a random # number displays. # [ ] Modify the die_roller() function to use randrange instead of randint from random import randint def die_roller (): return (randrange(1, 7)) # roll a die print(die_roller())

# In this code, the randint function is imported from the random module. The odd_random() function is defined and returns # a random number ranging from 1 through 101, including the start and stop values. # Lastly, the function is called and a random number is displayed. # [ ] Modify the odd_random() function to use randint instead of randrange from random import randrange def odd_random(): return (randint(1, 101)) # Generate an odd random integer print(odd_random())

# In this code, the randint function is imported from the random module. The die_roller() function is defined and returns # a random number ranging from 1 through 6, including the start and stop values. This function is called # in the next defined dice_roller function, which returns two random numbers ranging from 1 to 6. # Lastly, the 2 random numbers are displayed. # [ ] Complete the function dice_roller() so it rolls 2 dice # Use the die_roller function from random import randint def die_roller(): return(randint(1, 6)) def dice_roller(): #TODO return(randint(1, 6) , die_roller()) print(dice_roller())

# In this code, the choice function is imported from the random module. This function randomly chooses an item of # the options list in the RPS() function. This item is returned by the function, which is later called and the # the item is printed. from random import choice # Select Rock, Paper, or Scissors def RPS(): options = ['Rock', 'Paper', 'Scissors'] # return one of the elements at random return (choice(options)) # Generate an option print(RPS());

# In this code, the shuffle function is imported from the random module. This function is used to shuffle the # items in the 'x' list. The shuffled list is then printed. from random import shuffle x = ['Ana', 'John', 'Mike', 'Sally'] shuffle(x) print(x)

# In this code, the choice function is imported from the random module. IN the pick_card() defined function, 'choice' # is used to randomly select an item from the card_type and card_number list. Then, pick_card() returns a # list with the random car number followed by the random card type. Lastly, the function is called and the list displays. from random import choice def pick_card(): card_type = ['Clubs', 'Diamonds', 'Hearts', 'Spades']; card_number = ['Ace', 2, 3, 4, 5, 6, 7, 8, 9, 10, 'Jack', 'Queen', 'King'] # choose a type at random t = choice(card_type) n = choice(card_number) return [n, t] # Show the randomly picked card print(pick_card())

# In this code, the shuffle function is imported from the random module. IN the pick_card() defined function, 'shuffle' # is used to randomly shuffle the items in the card_type and card_number list. Then, pick_card() returns the shuffled lists. # Lastly, the function is called and the lists display. # [ ] Modify the pick_card() function to use `shuffle` instead of choice from random import shuffle def pick_card(): card_type = ['Clubs', 'Diamonds', 'Hearts', 'Spades']; card_number = ['Ace', 2, 3, 4, 5, 6, 7, 8, 9, 10, 'Jack', 'Queen', 'King'] # choose a type at random shuffle(card_type) shuffle(card_number) return print(card_type , "\n" , card_number) # Show the randomly picked card pick_card()

# In this code, the random module is imported. Then, using the choice function from the module, a city/item from # the cities list is selected randomly. Lastly, the random city is displayed. # [ ] The following list contain the 10 most populous American cities; write code to randomly select one of the cities to visit cities = ["New York", "Los Angeles", "Chicago", "Houston", "Phoenix", "Philadelphia", "San Antonio", "San Diego", "Dallas", "San Jose"] import random city = random.choice(cities) print(city)