👉 Mathematical moves, or the steps taken to solve a problem, involve a sequence of logical operations and transformations applied to mathematical expressions or equations. These moves are guided by established rules and properties of the mathematical operations involved, such as arithmetic, algebra, or calculus. For example, in solving an equation, one might use the addition or subtraction property (adding or subtracting the same value to both sides) or multiplication and division properties (multiplying or dividing by the same non-zero number). In algebra, factoring, expanding, or simplifying expressions are common moves. Each step must be justified by a rule or theorem to ensure the solution is valid and follows logically from the previous steps. The goal is to transform the initial problem into a simpler, solvable form, often culminating in a clear and concise final answer.