Mathematics
State True or False : (i) There exists a rational number which is neither positive nor negative. (ii) Every rational number has a multiplicative inverse. (iii) Every rational number when expressed in its standard form has its denominator greater than the numerator. (iv) The sum of a rational number and its additive inverse is always (v) The product of a rational number and its multiplicative inverse is always (vi) Any two equivalent rational numbers have the same standard form. (vii) The product of any two rational numbers is also a rational number. (viii) A rational number when divided by another rational number always gives a rational number. (ix) Every rational number can be represented on a number line. (x) The rational numbers smaller than a given rational number lie to the left of .
Related Questions
Assertion: The smallest rational number does not exist.
Reason: On the number line, all the rational numbers to the left of 0 are negative.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.