In this course, learners will gain a deep understanding of the relationships between fractions, decimals, and percentages as different representations of rational numbers. They will develop the ability to perform all four operations - addition, subtraction, multiplication, and division - with rational numbers confidently and accurately. This procedural fluency will enable them to solve mathematical problems involving rational numbers with ease and efficiency.

Furthermore, learners will acquire the knowledge and skills to apply the Laws of Exponents when evaluating numerical expressions and generating equivalent numerical expressions. This includes using whole-number exponents and rational number bases. By understanding and applying these laws, learners will be able to simplify and manipulate expressions involving exponents effectively.

The course also emphasizes the importance of order of operations in solving mathematical problems with rational numbers. Learners will learn to navigate multi-step problems that involve grouping symbols, whole-number exponents, and absolute value. By following the correct order of operations, learners will be able to solve complex problems accurately and efficiently.

Overall, this course provides learners with the necessary knowledge and skills to work confidently and fluently with rational numbers. They will develop a deep understanding of the connections between fractions, decimals, and percentages and be able to perform operations and solve problems involving rational numbers using procedural fluency and the appropriate application of mathematical rules and principles.