Question

(v) The product of two rational numbers is always a
(vi) The reciprocal of a positive rational number is​

Answer 1

Answer:

The product of two rational numbers is always a rational number.

The reciprocal of a positive rational number is always a positive rational number.

Explanation:

The product of two numbers which can be written in the form of p/q, when multiplied gives an answer which can be written in the form of p/q

In the case of a positive rational number, there is no negative component. So, its reciprocal will always be positive

Answer 2

Answer:

v) rational

vi) positive

Explanation:

v) So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

vi) Reciprocal is the multiplicative inverse of the number. So it gives positive number.

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