MA19.8.1

Mathematics (2019) Grade(s): 8

Students:know that any ratio a/b, where b is not equal to zero, has a quotient attained by dividing a by b.

know that the real number system contains natural numbers, whole numbers, integers, rational, and irrational numbers.

know that every real number has a decimal expansion that is repeating, terminating, or is non-repeating and non-terminating.

Students are able to:

define the real number system by giving its components.
Explain the difference between rational and irrational numbers. specifically how their decimal expansions differ.
Convert a ratio into its decimal expansion and take a decimal expansion back to ratio form.

Students understand that:

all real numbers are either rational or irrational and
Every real number has a decimal expansion that repeats, terminates, or is both non-repeating and non-terminating.