Arithmetic Operations
Arithmetic operators are most useful inside a short program that solves a real problem: values come in, a formula is applied, and the answer is stored in a variable or displayed.
width = int(input('Poster width in cm: '))
height = int(input('Poster height in cm: '))
print('Poster area in cm squared:', width * height)
radius = float(input('Pond radius in m: '))
PI = 3.14159
print('Pond area in m squared:', PI * radius ** 2)Output when the user types 60, 40, 2.5:
Poster width in cm: 60
Poster height in cm: 40
Poster area in cm squared: 2400
Pond radius in m: 2.5
Pond area in m squared: 19.6349375The poster area multiplies width by height. The pond area uses exponentiation: radius ** 2 squares the radius, and Python works that out before multiplying by PI, because exponentiation has higher precedence than multiplication. So PI * radius ** 2 gives the right area, while (PI * radius) ** 2 would square the wrong thing. The power operator is always two asterisks, never ^.
celsius = float(input('Temperature in C: '))
fahrenheit = celsius * 9 / 5 + 32
print('Temperature in F:', fahrenheit)
price = float(input('Price before VAT: '))
vat_rate = 0.2
vat = price * vat_rate
print('Price with VAT:', price + vat)Output when the user types 25, 40:
Temperature in C: 25
Temperature in F: 77.0
Price before VAT: 40
Price with VAT: 48.0The temperature conversion multiplies by 9, divides by 5, then adds 32. Multiplication and division share the same precedence and run left to right, so celsius * 9 / 5 is worked out first and 32 is added to that result โ the same as writing (celsius * 9) / 5 + 32. The VAT program stores a fixed rate of 20% in vat_rate, calculates the VAT on the price, then adds it to the original price to get the total.
Anything typed at input() arrives as text, even when it looks like a number, and '12' * 5 would repeat the text rather than multiply it. A typed value must be cast before it is used in a calculation: int() when it must be a whole number, such as a count of items, or float() when decimals are possible, such as a measurement or a price.
If the divisor of a division or a modulo is 0, Python cannot work out an answer and stops the program with an error. Sharing a bill between a number of people typed in by the user will fail if that number is 0, so the divisor must always hold a sensible value before the calculation runs.
OCR GCSE Computer Science ยท Arithmetic Operations