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Rational Numbers
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Zero has ______ reciprocal.
no
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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 

Complete the following table:
Numbers 
Commutative for 

Addition 
Subtraction 
Multiplication 
Division 

Rational numbers 
Yes 
... 

Integers 
No 

Whole numbers 
Yes 

Natural numbers 
No 
Complete the following table:
Numbers 
Associative for 

Addition 
Subtraction 
Multiplication 
Division 

Rational numbers 
No 

Integers 
Yes 

Whole numbers 
Yes 

Natural numbers 
No 
If a property holds for rational numbers, will it also hold for integers? For whole Numbers? Which will? Which will not?
Mention the rational number that does not have reciprocal.
Mention the rational numbers that are equal to their reciprocals.
Mention the rational number that is equal to its negative.
Zero has ______ reciprocal.
The numbers ______ and ______ are their own reciprocals.
The reciprocal of –5 is ______.
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