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Additive and Multiplicative Inverse Property of Rational Numbers

Multiplicativ...

Question

Multiplicative inverse of a negative rational number is

A

a positive rational number

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B

a negative rational number

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C

0

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D

1

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Solution

The correct option is B
a negative rational number

The multiplicative inverse of a negative rational number is a negative rational number. If $- a$ is a negative rational number, $\frac{- 1}{a}$ is its multiplicative inverse.

$For example, - 5 \times \frac{1}{- 5} = 1$

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Question 10
Multiplicative inverse of a negative rational number is:
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1

Q. Tick (✓) the correct answer
The reciprocal of a negative rational number
(a) is a positive rational number
(b) is a negative rational number
(c) can be either a positive or a negative rational number
(d) does not exist

Q. (i) Which rational number is its own additive inverse?
(ii) Is the difference of two rational numbers a rational number?
(iii) Is addition commutative on rational numbers?
(iv) Is addition associative on rational numbers?
(v) Is subtraction commutative on rational numbers?
(vi) Is subtraction associative on rational numbers?
(vii) What is the negative of a negative rational number?

Q. What are rational numbers? Give examples of five positive and five negative rational numbers. Is there any rational number which is neither positive nor negative? Name it.

Q. Multiplicative inverse of a negative rational number is ___.

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