Mathematics
Fill in the blanks :
(i) The multiplicative inverse of a rational number is also called its …………… .
(ii) Every negative rational number is …………… than 0.
(iii) A rational number is said to be in standard form, if q is …………… and p and q have no common divisor other than 1.
(iv) is a …………… rational number.
(v) The additive inverse of a rational number is …………… .
Rational Numbers
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Answer
(i) The multiplicative inverse of a rational number is also called its reciprocal.
(ii) Every negative rational number is less or smaller than 0.
(iii) A rational number is said to be in standard form, if q is positive and p and q have no common divisor other than 1.
(iv) is a positive rational number.
(v) The additive inverse of a rational number is .
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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 .
Assertion: Two rational numbers with different numerators can never be equal.
Reason: A rational number is said to be in standard form if q is positive and p and q have no common factor other than 1.
- 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.