Some numbers can belong to more than one subset of the real numbers (e.g., 4 is a natural number, a whole number, an integer, and a rational number). The attributes of one subset can be contained in whole or in part in another subset. The relationships between the subsets of the real number system can be illustrated using graphic organizers (that may include, but not be limited to, Venn diagrams), number lines, and other representations.
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Students are not expected to know the names of the subsets of the real numbers until grade eight.
Represent integers on a number line.
The opposite of a positive number is negative and the opposite of a negative number is positive.
Proper fractions, improper fractions, and mixed numbers are terms often used to describe fractions. A proper fraction is a fraction whose numerator is less than the denominator. An improper fraction is a fraction whose numerator is equal to or greater than the denominator. An improper fraction may be expressed as a mixed number. A mixed number is written with two parts: a whole number and a proper fraction (e.g., 3 5/8). A fraction can have a positive or negative value.
The set of rational numbers includes the set of all numbers that can be expressed as fractions in the form 𝑎𝑏 where a and b are integers and b does not equal zero. The decimal form of a rational number can be expressed as a terminating or repeating decimal.