Respuesta :

Answer:

The set containing Pi is:

  • Irrational numbers.
  • Real numbers.

Step-by-step explanation:

We have to classify the number "pi" or π.

We know that:

Pi is the ratio of a circumference of a circle to it's diameter.

Pi is an irrational number i.e. it could not be represented in the form of p/q where p is an integer and q is a natural number.

However we sometimes take pi to be 22/7 ; but it's not exactly the same it's just a close approximation.

Hence, we may classify Pi as:

Irrational number.

Also irrational number comes in the category of real numbers.

Hence, Pi is also a real number.

( As real numbers are divided into two category:

1.  Rational  number

2. Irrational number

Also Rational number contains whole numbers, integers and whole numbers)

Using the number sets, the correct options are:

  • irrational numbers  
  • real numbers

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  • Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}
  • Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....}
  • Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern).
  • Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339.
  • Real numbers: Rational plus irrational.

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  • The number [tex]\pi = 3.1415...[/tex] is a decimal number without repetition, that is, it has infinite decimal places, thus it is irrational.
  • Irrational numbers are also real.
  • Thus, the correct options are irrational and real.

A similar problem is given at https://brainly.com/question/10814303

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