Number Systems
Find the multiplicative inverse of the following. (i) $$-13$$ (ii) $$\dfrac{1}{5}$$ (iii) $$\dfrac{-5}{8}\times\dfrac{-3}{7}$$ (iv) $$-1\times\dfrac{-2}{5}$$ (v) $$-1$$
Write the additive inverse of each of the following. (i) $$\dfrac{2}{8}$$ (ii) $$\dfrac{-5}{9}$$ (iii) $$\dfrac{-6}{-5}$$ (iv) $$\dfrac{2}{-9}$$ (v) $$\dfrac{19}{-6}$$
Additive inverse of $$\dfrac ab$$ is $$-\dfrac ab$$, since $$\dfrac ab + \left(-\dfrac ab\right) = 0$$
In the same manner:
(i)
Additive inverse of $$\dfrac28$$ is $$-\dfrac{2}{8}$$
(ii)
Additive inverse of $$\dfrac{-5}9$$ is $$\dfrac{5}{9}$$
(iii)
Additive inverse of $$\dfrac{-6}{-5}$$ is $$\dfrac{-6}{5}$$
(iv)
Additive inverse of $$\dfrac2{-9}$$ is $$\dfrac{2}{9}$$
(v)
Additive inverse of $$\dfrac{19}{-6}$$ is $$\dfrac{19}{6}$$
Find the multiplicative inverse of the following. (i) $$-13$$ (ii) $$\dfrac{1}{5}$$ (iii) $$\dfrac{-5}{8}\times\dfrac{-3}{7}$$ (iv) $$-1\times\dfrac{-2}{5}$$ (v) $$-1$$
Is $$\dfrac{8}{9}$$ the multiplicative inverse of $$-1\dfrac{1}{8}$$? Why or why not?
Is $$0.3$$ the multiplicative inverse of $$3\dfrac{1}{3}$$? Why or why not?
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 $$\dfrac{1}{x}$$, where $$x\neq0$$ is _________. (v) The product of two rational numbers is always a ______________. (vi) The reciprocal of a positive rational number is _______________.
Find the additive inverse of: $$5$$
Fill the additive inverse of: $$-9$$
Find the additive inverse of: $$\cfrac3{14}$$
Find the additive inverse of: $$\cfrac{-11}{15}$$
Find the additive inverse of: $$\cfrac{15}{-4}$$
Find the additive inverse of: $$\cfrac{-18}{-13}$$