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Rational Numbers

Short Answer Type

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

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Complete the following table:

Numbers	Commutative for
	Addition	Subtraction	Multiplication	Division
Rational numbers	Yes			...
Integers		No
Whole numbers			Yes
Natural numbers				No

1291 Views

Complete the following table:

Numbers	Associative for
	Addition	Subtraction	Multiplication	Division
Rational numbers				No
Integers			Yes
Whole numbers	Yes
Natural numbers		No

1645 Views

4.
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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One Word Answers

Mention the rational number that does not have reciprocal.

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Mention the rational numbers that are equal to their reciprocals.

190 Views

Mention the rational number that is equal to its negative.

111 Views

Fill In the Blanks

Zero has ______ reciprocal.

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The numbers ______ and ______ are their own reciprocals.

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10.

The reciprocal of –5 is ______.

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