Relations And Functions

  • Question
    CBSEENMA11012914

    Fill in the blanks in the following table:

    Numbers

    Closed under

     

    Addition

    Subtraction

    Multiplication

    Division

    Rational numbers

    Yes

    Yes

     

    No

    Integers

     

    Yes

     

    No

    Whole numbers

    ...

     

    Yes

     

    Natural numbers

     

    No

       
     

    Solution

    Using the closure property over addition, subtraction, multiplication and division for rational numbers, integers, whole-numbers and natural numbers, we have:

    Numbers

    Closed under

     

    Addition

    Subtraction

    Multiplication

    Division

    Rational numbers

    Yes

    Yes

    Yes

    No

    Integers

    Yes

    Yes

    Yes

    No

    Whole numbers

    Yes

    No

    Yes

    No

    Natural numbers

    Yes

    No

    Yes

    No

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