This worksheet is an instructional tool that lists several properties of real numbers, such as the Closure, Commutative, Associative, Identity, Inverse, and Zero properties for both addition and multiplication. Students are instructed to write a statement and an example for each of these properties using real numbers. The worksheet is structured with three columns: one for the name of the property, one for the student to write a statement defining the property, and one for providing an example that illustrates the property. This format is designed to help students actively engage with each property by not only understanding it conceptually but also applying it practically.
The purpose of this worksheet is to teach students about the fundamental properties of real numbers that are the building blocks for algebra. It aims to deepen their understanding by having them articulate the definitions of these properties in their own words and demonstrate each property with a concrete example. Such practice is essential for students to develop a solid mathematical foundation, enabling them to recognize and apply these properties when solving algebraic problems. This exercise also prepares students for more advanced mathematical concepts and proofs by establishing a clear understanding of these basic properties.