Question

Which of the following are rational numbers?

Answer 1

Hi there!

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I believe your answer is:

{7, -5, (2/3), 5.79}

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Here’s why:

• Rational numbers are numbers that could be written as a fraction with two integers.

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`\boxed{\text{\underline{\textbf{Some Examples of Rational Numbers Are...}}}}\\\\\rightarrow \text{Integers}\\\\\rightarrow \text{Perfect Squares}\\\\\rightarrow \text{Terminating Decimals}\\\\\rightarrow \text{Recurring Decimals}`

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• 7 and -5 are integers, so they are rational.
• 
  `(2)/(3)` is already a fraction with integers. It is rational.
• 5.79 is a terminating decimal. It is rational.
• The number π is a famous irrational number. It does not terminate nor repeat.
• 
  `√(13)` is not a perfect square. It is irrational.
• 
  `√(-4)` is a perfect square, but it is simplified to a complex number. Complex numbers are not rational.

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The rational numbers are {7, -5, (2/3), 5.79}.

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Hope this helps you. I apologize if it’s incorrect.