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Working out a problem or situation systematically, breaking the whole into itscomponent parts for separate analysis, and coming to a solution or a variety of possiblesolutions is called:

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Final answer:

Problem-solving consists of systematically analyzing parts of a problem to reach a solution, which begins with clearly identifying the problem, then applying strategies like identifying knowns and unknowns.

Step-by-step explanation:

Working out a problem or situation systematically, breaking it into its component parts for separate analysis, and reaching a solution or a range of possible solutions is referred to as problem-solving. Initially, one must clearly identify the problem at hand, which is the first step in the problem-solving process. Following this, problem-solving strategies are applied, which include identifying knowns and unknowns, ensuring the answer is reasonable, and so on. These steps are part of a broader three-stage process that typically includes strategy, solution, and significance, guiding problem solvers through the analysis to derive a solution.

The Work It Out feature exemplifies this approach by guiding students through analytical or computational problems step by step, enhancing their understanding and aiding in the discovery of solutions.

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