Respuesta :
Answer:
The sets the number belongs is real number and an irrational number.
Step-by-step explanation:
To find : Identify all sets of numbers to which 2.17117111711117....belong.
Solution :
The given number 2.17117111711117.... is a real number.
As the number cannot written in p/q form where p and q are integers and q is non-zero.
The number is also non-terminating and non-repeating.
Which clearly means the given number is an irrational number.
So, The sets the number belongs is real number and an irrational number.
The number 2.17117111711117 belongs to the real number set as it can be plotted on the real number line. The number 2.17117111711117 is also irrational as it can not be written as a fraction.
Definitions:
- Natural Numbers - Common counioting numbers.
- Prime Number - A natural number greater than 1 which has only 1 and itself as factors.
- Composite Number - A natural number greater than 1 which has more factors than 1 and itself.
- Whole Numbers - The set of Natural Numbers with the number 0 adjoined.
- Integers - Whole Numbers with their opposites (negative numbers) adjoined.
- Rational Numbers - All numbers which can be written as fractions.
- Irrational Numbers - All numbers which cannot be written as fractions.
- Real Numbers - The set of Rational Numbers with the set of Irrational Numbers adjoined.
- Complex Number - A number which can be written in the form a + bi where a and b are real numbers and i is the square root of -1.
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