Write the additive inverse of each of the following (i) \[\frac{2}{8}\] (ii) \[\frac{-5}{9}\] (iii) \[\frac{-6}{-5}\] (iv)\[\frac{2}{-9}\] (v) \[\frac{19}{-6}\]
Fine the multiplicative inverse of the following: (i) \[-13\] (ii) \[\frac{-13}{19}\] (iii) \[\frac{1}{5}\] (iv) \[\frac{-5}{8}\times \,\frac{-3}{7}\] (v)\[-1\times \,\frac{-2}{5}\] (vi) ? 1.
Name the property under multiplication used in each of the following: (i) \[\frac{-4}{5}\times \,1=1\,\times \frac{-4}{5}\,=-\frac{4}{5}\] (ii) \[-\frac{13}{17}\,\times \frac{-2}{7}\,=\frac{-2}{7}\times \frac{-13}{17}\] (iii) \[\frac{-19}{29}\,\times \frac{29}{-19}\,=1\].
Write: (i) The rational number that does not have a reciprocal. (ii) The rational numbers that are equal to their reciprocals. (iii) The rational number that is equal to its negative.
Fill in the blanks: (i) Zero has .......... reciprocal. (ii) The numbers .......... and ......... are their own reciprocals. (iii) The reciprocal of ? 5 is .......... . (iv) Reciprocal of \[\frac{1}{x},\] where \[x\ne 0\] is.......... (v) The product of two rational numbers is always a ........... (vi) The reciprocal of a positive rational number is ...........
Find five rational numbers between: (i) \[\frac{2}{3}\] and \[\frac{4}{5}\] (ii) \[\frac{-3}{2}\] and \[\frac{5}{3}\] (iii) \[\frac{1}{4}\] and \[\frac{1}{2}\].
