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Number System || Rational number || Operations on rational number

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Rational number ing between two given rational numbers

The sum of two rational numbers is a rational number.

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Basic Maths Number system ( Natural number || Complex number || Rational and Irrational number) and examples

Are the following pairs of statements negations of each other: The number x is not a rational number. The number x is a rational number.

Give an example of each,of two irrational numbers whose: difference is a rational number.difference is an irrational number. sum is a rational number.sum is an irrational number.product is a rational number.product is an irrrational number.quotient is a rational number.quotient is an irrational number.

Give an example of each, of two irrational numbers whose: (i) difference is a rational number. (ii) difference is an irrational number. (iii) sum is a rational number. (iv) sum is an irrational number. (v) product is a rational number. (vi) product is an irrational number. (vii) quotient is a rational number. (viii) quotient is an irrational number.

Insertion of rational numbers between two given rational numbers