Rational Numbers

A number of the form p/q is said to be a rational number if

• p and q are integers

• p and q are integers and p is not equal to zero.

• p and q are integers and q is not equal to zero.

• and q are integers and p and q both are not equal to zero.

-(-x) is same as

• -x

• x

• 1/x

• -1/x

Addition is associative for

• Natural numbers

• Whole numbers

• Rational numbers

• All of these

Between any two rational numbers, there lie

• two rational numbers

• no rational number

• infinite rational numbers

• infinite fractions

If x be any rational number, than x+0 is

• -x

• 0

• x

• 1/x

Reciprocal of x is

• -x

• 1/x

• x+1

• x

If y be the reciprocal of rational number x, then the reciprocal of y will be

• x

• y

• x/y

• y/x

Additive identity of rational numbers is

• 1

• -1

• x

• 0

Rational numbers are not closed under

• Subtraction

• Division

• Addition

• Multiplication

The additive inverse of a/b is

• -b/a

• b/a

• a/b

• -a/b