Use properties of operations to justify the process of simplifying numerical and variable expressions. Represent relationships among subsets of the set of real numbers using diagrams. Apply group properties to operation tables and examine mathematical systems. Define and compare sets of numbers, including complex numbers. Define and apply union, intersection, difference, complement, universal set, cardinal number, ordinal number, set builder notation, and quantification notation.
Students solve problems involving number theory and scientific notation.
Distinguish between factors and terms. Distinguish between factors and multiples. Distinguish between prime and composite numbers. Use prime factorizations to determine the least common multiple of a set of numbers. Use prime factorizations to determine the greatest common factor of a set of numbers.