Fill in the blanks in the following table.

  Addition Substraction Multiplication Division
Rational Numbers Yes Yes ... No
Integers ... Yes ... No
Whole Numbers ... ... Yes ...
Natural Numbers ... No ... ...

 

Answers (1)

It can be seen that rational numbers, integers, whole numbers, natural numbers are not closed under division because of Zero is included in these number. Any number divided byzero is not defined.  

  Addition Substraction Multiplication Division
Rational Numbers Yes Yes Yes No
Integers Yes Yes Yes No
Whole Numbers Yes No Yes No
Natural Numbers Yes No Yes Yes

 

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