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This introduction to the Constraint Logic Programming languageCLP([real]) uses applications to provide insight tothe language's strengths. An overview of CLP([real])is followed by a discussion of three applications that illustratethe language's unifying treatment both of numeric and symboliccomputing and of engineering analysis and synthesis problems.Another discussion dissects the interpreter's constraint solverand clarifies how a problem's search space can be restricteddeclaratively. The final example is an extended description ofthe construction of a network of interpreters, which can be usedto distributively solve a set of linear equations. This extensionrequires no modification of the CLP([real]) interpreterand points out the benefits of revisiting established algorithmsvis-a-vis CLP([real]).