Basic Math Operations

Learning Objectives Correctly apply the order of operations (PEMDAS/BODMAS) in complex programming expressions. Differentiate between standard division and integer (floor) division and use each appropriately. Utilize the modulo operator to solve problems involving remainders, such as determining if a number is even or odd. Implement compound assignment operators (e.g., +=, *=) to write more concise and efficient code. Analyze and debug code that involves multiple mathematical operations. Convert numerical data between integer and floating-point types to ensure calculation accuracy. Ever wonder how a game knows exactly when to wrap a character around the screen or how an app can split a bill perfectly down to the cent? 👾 It's all about mastering the 'advanced'...

TermDefinitionExample Operator PrecedenceThe specific order in which a programming language performs mathematical and logical operations in an expression. It's the computer's version of PEMDAS/BODMAS.In the expression `10 + 5 * 2`, multiplication is performed before addition, so the result is `20`, not `30`. Integer Division (Floor Division)A type of division that rounds the result down to the nearest whole number, effectively discarding any fractional part or remainder.In Python, `14 // 3` results in `4`, not `4.666...`. The `.666...` is discarded. Modulo OperatorAn operator that performs division but returns only the remainder. It's incredibly useful for checking divisibility and creating cycles.In most languages, `14 % 3` results in `2`, because 14 divided by 3 is 4 with...

Order of Operations in Code 1. Parentheses `()` 2. Exponentiation `**` 3. Multiplication `*`, Division `/`, Floor Division `//`, Modulo `%` (from left to right) 4. Addition `+`, Subtraction `-` (from left to right) Use this hierarchy to predict the outcome of any complex mathematical expression. When in doubt, use parentheses `()` to enforce the order you want. The Modulo and Integer Division Relationship `a = (a // b) * b + (a % b)` This formula shows how a number `a` can be reconstructed from its integer division and modulo with respect to another number `b`. It's the fundamental principle behind how these two operators work together. Compound Assignment Syntax `variable op= value` This is the standard syntax for compound assignment, where `op` can be `+`, `-`...