Pregunta
Number sise 1: (Theorg on pages 3 and 4)
ctate whether the following numbers are rational or irrational;
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
Respuesta verificada por el tutor
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.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


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.

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium