Subjective Type

Is $$\dfrac{8}{9}$$ the multiplicative inverse of $$-1\dfrac{1}{8}$$? Why or why not?

Solution

If it is a multiplicative inverse, then the product $$=1$$

$$\dfrac{8}{9}\times\begin{pmatrix}-1\dfrac{1}{8}\end{pmatrix}=\dfrac{8}{9}\times\dfrac{-9}{8}=-1$$

Product $$=-1$$

$$\therefore$$ It is not a multiplicative inverse.

SIMILAR QUESTIONS

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) $$\dfrac{19}{-6}$$

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) $$-1$$

Number Systems

Is $$0.3$$ the multiplicative inverse of $$3\dfrac{1}{3}$$? Why or why not?

Number Systems

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 _______________.

Number Systems

Find the additive inverse of: $$5$$

Number Systems

Fill the additive inverse of: $$-9$$

Number Systems

Find the additive inverse of: $$\cfrac3{14}$$

Number Systems

Find the additive inverse of: $$\cfrac{-11}{15}$$

Number Systems

Find the additive inverse of: $$\cfrac{15}{-4}$$

Number Systems

Find the additive inverse of: $$\cfrac{-18}{-13}$$

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