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Rational Numbers
Question
If a property holds for rational numbers, will it also hold for integers? For whole Numbers? Which will? Which will not?
Solution
(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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Some More Questions From Rational Numbers Chapter
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?
Mock Test Series
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