MA19.7A.10

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.10
Define the real number system as composed of rational and irrational numbers.

Unpacked Content

Knowledge

Students know:

know that any ratio a/b, where bis not equal to zero, has a quotient attained by dividing a by b.
know that the real number systemcontains natural numbers, whole numbers, integers, rational, andirrational numbers.
know that every real number hasa decimal expansion that is repeating,terminating, or is non-repeating and non-terminating.

Skills

Students are able to:

define the real number systemby giving its components.
Explain the difference betweenrational and irrational numbers.specifically how their decimal expansions differ.
Convert a ratio into its decimalexpansion and take a decimalexpansion back to ratio form.

Understanding

Students understand that:

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

Vocabulary

Real Number System
Ratio
Rational Number
Irrational Number

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