Respuesta :

-89 is a rational number

127.89 is a rational number

[tex]\sqrt{101}[/tex]  is an irrational number

0.328 is a rational number

Step-by-step explanation:

Rational numbers are the numbers can be written in the form of [tex]\frac{a}{b}[/tex] , where b ≠ 0

  • Integers are rational number
  • Fractions are rational numbers
  • Decimals are rational numbers

Irrational numbers are the numbers can NOT be written in the form of  [tex]\frac{a}{b}[/tex]

  • The square root of not square numbers are irrational numbers
  • The cube root of not cube numbers are irrational numbers
  • π is an irrational number

∵ -89 is an integer

- Integers are rational numbers

∴ It is a rational number

-89 is a rational number

∵ 127.89 is a decimal number

- Decimal numbers are rational numbers

∴ It is a rational number

127.89 is a rational number

∵ 101 is not a square number

- It can not be formed in the form  [tex]\frac{a}{b}[/tex]

∴ [tex]\sqrt{101}[/tex] is not a rational number

[tex]\sqrt{101}[/tex]  is an irrational number

∵ 0.328 is a decimal number

- Decimal numbers are rational numbers

∴ It is a rational number

0.328 is a rational number

Learn more:

You can learn more about the rational numbers brainly.com/question/10894205

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