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anonymous

  • 5 years ago

Which of these are rational numbers? a. 3.75 b. -132 c. .140625 d. .04

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  1. JamesJ
    • 5 years ago
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    What's the definition of a rational number?

  2. anonymous
    • 5 years ago
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    You tell me ?

  3. myininaya
    • 5 years ago
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    \[\frac{integer_1}{integer_2}, integer_2 \neq 0\]

  4. JamesJ
    • 5 years ago
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    Now, given that is your first number 3.75 rational?

  5. anonymous
    • 5 years ago
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    ya ?

  6. JamesJ
    • 5 years ago
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    A rational number is a number that can be written as a ratio or fraction of two integers. For example. All integers themselves are rational numbers. 1 = 1/1, a ratio of two numbers. 2 = 2/1, 3 = 3/1. -1 = -1/1, -2 = -2/1, etc. All finite decimal expansions are rational numbers. E.g. 1.5 = 15/10 2.34 = 234/100 There are other rational numbers as well, such as 1/7. ===== Now, given that is your first number 3.75 rational?

  7. JamesJ
    • 5 years ago
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    Yes. 3.75 = 375/100. That's a fraction of two integers. Therefore 3.75 is a rational number.

  8. JamesJ
    • 5 years ago
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    What about -132 ?

  9. anonymous
    • 5 years ago
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    no. theres only one rational number in that group of numbers

  10. JamesJ
    • 5 years ago
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    That's not true. Didn't we just say that every integer is itself a rational number?

  11. JamesJ
    • 5 years ago
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    -132 = -132/1 hence -132 is also a rational number.

  12. myininaya
    • 5 years ago
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    James is right there is more than one rational number here.

  13. JamesJ
    • 5 years ago
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    What about part c. 0.140625 Rational or not rational?

  14. JamesJ
    • 5 years ago
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    And you've left. Ok. Good luck then.

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