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Rational Numbers
If a property holds for rational numbers, will it also hold for integers? For whole Numbers? Which will? Which will not?
(i) Any property which is true for rational numbers, is also true for integers except for any integers ‘a’ and ‘b’ (a ÷ b) is not necessarily an integer.
(ii) All properties which are true for rational numbers, are also true for whole numbers also except:
(a) For ‘a’ and ‘b’ being whole numbers, (a – b) may not be a whole number.
(b) For ‘a’ and ‘b’ being whole numbers (b ? 0), a ÷ b may not be whole number.
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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 ______.
The reciprocal of 1/x, where x # 0 is
The product of two rational numbers is always a ___________.
The reciprocal of a positive rational number is _________.
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?
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