Single Choice

Multiplication inverse of a negative rational number is

AA positive rational number.
BA negative rational number
Correct Answer
CBoth positive and negative rational numbers
DNone of the above

Solution

We know that
Product of any rational number and its multiplicative inverse is $$1$$.

Hence the multiplicative inverse of a negative rational number must be $$\text {negative}$$ so that their product is a positive rational number $$1$$.

Hence option B is the correct answer.

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

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: $$\cfrac{15}{-4}$$

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