Answer:
irrational numbers and real numbers
Explanation:
The question is incomplete. Here is the complete question.
Tell which set or sets does the number 8/9 belong to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
Natural numbers are positive whole numbers and they start from 1. Negative numbers and zero are not natural numbers. Example of natural numbers are 1,2, 3, 4... and since 8/9 is a fraction, hence it is not a natural number.
8/9 is not also a whole number. Whole numbers are not written as fractions.
Integers are both positive and negative whole numbers including zero. They are not expressed as ratio of two whole numbers. They are not fractions as well hence 8/9 is not an integer.
Real numbers are both rational numbers and irrational numbers. They can be expressed as a ratio of two integers and can be expressed as decimal. Hence 8/9 is a real number and also irrational numbers.
An irrational number when written as decimal, the number after the decimal does not terminate.
8/9 = 0.888888888888...
As we can see, the number 8 after the decimal point is infinite, hence the reason why 8/9 is an irrational number