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Sum of two natural numbers is a rational...

Sum of two natural numbers is a rational number.

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State whether the statements given are True or False. Sum of two rational numbers is always a rational number.

State, in each case, whether the given statements is ture or false. (i) The sum of two rational numbers is rational. (ii) The sum of two irrational numbers is irrational. (iii) The product of two rational numbers is rational. (iv) The product of two irrational numbers is irrational. (v) The sum of a rational number and irrational number is irrational. (vi) The product of a nonzero rational number and an irrational number is a rational number. (vii)Every real number is rational or irrational. (viii) Every number is either rational or irrational. (ix) pi is irrational and (22)/(7) is rational.

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.

Every natural number is a positive rational number.