Pregunta
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Number sise 1: (Theorg on pages 3 and 4)
ctate whether the following numbers are rational or irrational;

Ask by Parry Delgado. in South Africa
Jan 17,2025

Solución de inteligencia artificial de Upstudy

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Responder

All the numbers 5, , and are rational.

Solución

Let’s determine whether each of the following numbers is rational or irrational.

Definitions:

  • Rational Number: A number that can be expressed as a fraction , where and are integers and .
  • Irrational Number: A number that cannot be expressed as a simple fraction; its decimal form is non-repeating and non-terminating.

Analysis:

a)

  • Explanation: The number 5 can be expressed as .
  • Conclusion: Rational

b)

  • Explanation: , which can be written as .
  • Conclusion: Rational

d)

  • Explanation: The mixed number can be converted to an improper fraction:
  • Conclusion: Rational

Summary:

  • a) 5: Rational
  • b) : Rational
  • d) : Rational
All the given numbers are rational because they can be expressed as fractions of integers.

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Beyond the Answer

The number 5 is a rational number because it can be expressed as a fraction, specifically . Rational numbers are defined as numbers that can be expressed in the form of a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
The number also qualifies as a rational number. This mixed number can be converted into an improper fraction: , so it can be expressed as . Both forms confirm it’s a rational number, belonging to the family of numbers that can be expressed as fractions.
Bonus: The square root of 9 simplifies to 3, which is another whole number and also a rational number! So in summary, all three numbers listed—5, , and —are rational.

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