Which of these is not included in the set of rational numbers? all integers, all whole numbers, all repeating decimals, or all non-terminating decimals

Non terminating and non repeating decimals cannot be written in fraction from . So they are not included in set of rational numbers.

Given :

Lets take set of rational numbers that can written as a fraction of two numbers.

All integers are positive and negative numbers.

Rational numbers includes integers

Whole numbers starts from 0,1,2

Whole numbers are included in rational numbers

Repeating decimals can be written in fraction form .

Non terminating and non repeating decimals cannot be written in fraction from . So they are not included in set of rational numbers.

Learn more : link

non-terminating decimals

Integers and whole numbers can be converted to fraction form. Example, the whole number 3 can be written as 3/1 which is rational. A rational number is any fraction of whole numbers (eg: 7/19). The denominator can never be zero.

All repeating decimals can be converted into a fraction. A number like 0.8888 with the 8s repeating forever converts to the fraction 8/9, which is rational

Non-terminating decimals are decimals that go on forever. If there is no pattern to the decimal sequence, then the decimals don't repeat and the number cannot be converted to a rational number. Something like pi = 3.14159... has no pattern to the decimal sequence. Therefore, a number like pi is irrational, which literally means "not rational", so numbers like pi aren't rational and are not part of the set of rational numbers.

21

step-by-step explanation: