Fortgeschrittene Arithmetik
Learn how Python handles floor division and modulo (including negative numbers) and explore the math module for common numeric operations.
Floor Division (//)
Returns the floor of the exact quotient, meaning it rounds the result down.
12print(7 // 3) # 2 print(-7 // 3) # -3 (floors down: -2.333... → -3)
Why it matters: indexing chunks/pages, time splitting (hours from seconds), and any "how many full groups fit" calculation.
Modulo %
Returns the remainder of division. In Python, the remainder always has the same sign as the divisor.
123print(7 % 3) # 1 print(-7 % 3) # 2 print(7 % -3) # -2
Why it matters: "every Nth" item, wrap-around (e.g., clock arithmetic), cycling through buckets.
Examples:
- Keeping track of hours on a clock →
14 % 12 = 2- (2 PM); - Selecting every 3rd item in a list →
if i % 3 == 0:.
Quick Note on Rounding
Built-in round(x, ndigits) uses "round half to even".
12print(round(2.5), round(3.5)) # 2 4 print(round(2.675, 2)) # 2.67 (binary float nuance)
The math Module
Import once and access many handy functions/constants.
123456import math print(math.floor(2.9), math.ceil(2.1), math.trunc(-2.9)) # 2 3 -2 print(math.sqrt(9)) # 3.0 print(math.pi, math.e) # 3.14159... 2.71828... print(math.isfinite(1.0), math.isfinite(float('inf'))) # True False
1. What value will this code output?
2. What value will this code output?
3. Which call returns -3?
Danke für Ihr Feedback!
Fragen Sie AI
Fragen Sie AI
Fragen Sie alles oder probieren Sie eine der vorgeschlagenen Fragen, um unser Gespräch zu beginnen
Großartig!
Completion Rate verbessert auf 3.45Fortgeschrittene Arithmetik
Swipe um das Menü anzuzeigen
Learn how Python handles floor division and modulo (including negative numbers) and explore the math module for common numeric operations.
Floor Division (//)
Returns the floor of the exact quotient, meaning it rounds the result down.
12print(7 // 3) # 2 print(-7 // 3) # -3 (floors down: -2.333... → -3)
Why it matters: indexing chunks/pages, time splitting (hours from seconds), and any "how many full groups fit" calculation.
Modulo %
Returns the remainder of division. In Python, the remainder always has the same sign as the divisor.
123print(7 % 3) # 1 print(-7 % 3) # 2 print(7 % -3) # -2
Why it matters: "every Nth" item, wrap-around (e.g., clock arithmetic), cycling through buckets.
Examples:
- Keeping track of hours on a clock →
14 % 12 = 2- (2 PM); - Selecting every 3rd item in a list →
if i % 3 == 0:.
Quick Note on Rounding
Built-in round(x, ndigits) uses "round half to even".
12print(round(2.5), round(3.5)) # 2 4 print(round(2.675, 2)) # 2.67 (binary float nuance)
The math Module
Import once and access many handy functions/constants.
123456import math print(math.floor(2.9), math.ceil(2.1), math.trunc(-2.9)) # 2 3 -2 print(math.sqrt(9)) # 3.0 print(math.pi, math.e) # 3.14159... 2.71828... print(math.isfinite(1.0), math.isfinite(float('inf'))) # True False
1. What value will this code output?
2. What value will this code output?
3. Which call returns -3?
Danke für Ihr Feedback!
