The number we have is:
"..." indicates that the decimals will continue to be 232323...
Let's analyze our options:
Natural number: 1.2323... is not a natural number because natural numbers are the numbers 1, 2, 3, ... etc, no decimal numbers can be natural numbers.
Whole Number: The whole numbers are the natural numbers plus 0, still no decimal numbers. Thus, 1.2323... is not a whole number.
Integer: The set of the integers include the whole numbers, and their negative counterparts: -2, -1, 0, 1, 2, ...
Integers still don't include any decimal numbers.
Rational number: Rational numbers do include decimal numbers, rational are the numbers that can be expressed as a fraction and that have periodic decimals. For a number to have periodic decimals, the decimals must have a pattern, such as this case, where 1.2323... has a pattern in which the decimals are the number 23 repeated many times.
Thus, 1.2323... is a rational number.
Irrational number: Are the ones with non-periodic decimals, the decimals of the number don't have a pattern. So 1.2323.. is not an irrational number.
Real numbers: Include all of the previous set of numbers.
1.2323... is also a real number because real numbers include rational numbers.
Answer: rational number and a real number