Number Systems
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) $$\dfrac{19}{-6}$$
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) $$-1$$
Multiplicative inverse of a number $$P$$ is $$\dfrac1P$$ as $$P\times\dfrac1P = 1$$
i) Multiplicative inverse of $$-13$$ is $$-\dfrac{1}{13}$$
ii) Multiplicative inverse of $$\dfrac 15$$ is $$5$$
iii) $$\dfrac { -5 }{ 8 } \times \dfrac { -3 }{ 7 } =\dfrac { 15 }{ 56 } $$
Multiplicative inverse = $$\dfrac { 56 }{ 15 } $$
iv) $$\dfrac { -2 }{ 5 } \times -1 = \dfrac { 2 }{ 5 } $$
Multiplicative inverse $$=\dfrac {5 }{ 2 } $$
v) Multiplicative inverse of $$-1$$ is $$-1$$.
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) $$\dfrac{19}{-6}$$
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: $$\cfrac{-18}{-13}$$