rational numbers do not include:
infinite decimals
repeating decimals
terminating decimals

Infinite decimals that do not repeat.

Step-by-step explanation:

Repeating decimals can be as fractions where the top and bottom are integers.

Examples: .3333333333333333333333333333333.... can be written as 1/3.

or .19191919191919191919..... can be written as 19/99.

Terminating decimals can also be written as fractions where the top and bottom are integers.

Examples:  .11=11/100 or .161=161/1000

Any number that can be written as a fraction where the top and bottom are integers (bottom integer not 0)

is a rational number.

Repeating decimals are infinite.  So what I think they mean by infinite here is numbers like or .  There are not rational.  They cannot be written as a fraction where the top and bottom are integers.

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