For rational numbers x and y, if `x lt y` then `x - y` is a positive rational number.

State true of false If x and y are two rational numbers such that x gt y, then x - y is always a positive rational number.

For all rational numbers x and y, x xx y = y xx x .

For all rational numbers x and y, x - y = y - x.

(x+y)/(2) is a rational number.

Assertion : One of the rational number between (1)/(5) and (1)/(4) is (9)/(2) . Reason : If x and y are any two rational numbers such that x lt y , then (1)/(2)(x+y) is a rational number between x and y such that x lt (1)/(2) (x+y) lt y .

For any rational number x , x + (-1) = -x.

Fill in the blanks : The product of two positive rational number is always .. The product of a positive rational number and a negative rational number is always . The product of two negative rational numbers is always The reciprocal of a positive rational number is . The reciprocal of a negative rational number is . Zero has .. reciprocal . The product of rational number and its reciprocal is The numbers and .. are their own reciprocal is .. If a is reciprocal of b, then the reciprocal of b is The number 0 is . the reciprocal of any number. Reciprocal of 1/a , a !=0 i s ddot (17 x 12)^(-1)=17^(-1)x

If x and y are positive real number, then :

If x and y are two rational numbers such that y!=0 then the result of dividing xby is the rational lumber obtained on multiplying x by the reciprocal of y.