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anonymous

  • one year ago

To which subsets of real numbers does the number -22 belong? Choose all subsets that apply. theres only 2 btw A.Whole Numbers B.Rational Numbers C.Integers D.Irrational Numbers E.Natural Numbers

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  1. mathstudent55
    • one year ago
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    Natural Numbers (also called Counting Numbers): 1, 2, 3, 4, 5, ... Whole Numbers: 0, 1, 2, 3, 4, 5, ... Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... Rational Number: a number that can be written as a fraction of integers Irrational Number: a number that is not rational

  2. anonymous
    • one year ago
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    hmm

  3. mathstudent55
    • one year ago
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    Go through each definition, and see if -22 belongs in each set. Notice that the definitions are not in the same order as your choices.

  4. anonymous
    • one year ago
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    okay so the first is integers but i dont understand what the second one would be

  5. anonymous
    • one year ago
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    ?

  6. anonymous
    • one year ago
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    the first is integers but i dont know the second one

  7. mathstudent55
    • one year ago
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    -22 is definitely an integer, but it is part of another set in the choices too.

  8. anonymous
    • one year ago
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    irrational numbers?

  9. mathstudent55
    • one year ago
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    No. Look at the definition of rational. Can -22 be written as a fraction with an integer in the numerator and an integer in the denominatior?

  10. mathstudent55
    • one year ago
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    For example, \(\dfrac{-22}{1} \) Is this fraction equal to -22? Are -22 and 1 integers?

  11. anonymous
    • one year ago
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    Hmm so is it rational?

  12. mathstudent55
    • one year ago
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    Correct. -22 can be written as a fraction of integers in may ways. Here is another way: \(\dfrac{-44}{2} \) -44 and 2 are both integers, and that fraction equals -22, so -22 is a rational number.

  13. anonymous
    • one year ago
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    Awesome :D

  14. anonymous
    • one year ago
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    Is it okay if i copy and paste ur notes to my notebook? for learning

  15. mathstudent55
    • one year ago
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    Yes, be my guest. Your problem is already answered, but for a little more understanding, read on. Now we can ask a question. Then what is an irrational number? A number such as \(\pi\) which is the circumference divided by the diameter of a circle. \(\sqrt 2\), \(\sqrt 3\) These numbers cannot be written as a fraction of integers. You may have seen an approximation of \(\pi\) written as \(\dfrac{22}{7} \), but that is only a rational approximation. \(\pi\) is an irrational number.

  16. anonymous
    • one year ago
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    Okay well thank you for your help :)

  17. mathstudent55
    • one year ago
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    You're welcome.

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