The product of two rational numbers is always a ______ number

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Solution

The rational number is a subset of the real number $,$ and all the properties of the real number system are obeyed by the rational number $.$ A few of the rational number’s important properties are
If we multiply, add or subtract any two rational numbers, the outcome is always a rational number.
A rational number remains the same if both the numerator and denominator are divided or multiplied by the same factor.
If we add a rational number to zero, then we obtain the same number again.
Rational numbers are closed under subtraction, addition and multiplication.
Hence $,$ The product of two rational numbers is always a rational number

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Similar questions

Fill in the blanks :
(i) The product of two positive rational numbers is always___
(ii) The product of two negative rational numbers is always___
(iii) If two rational numbers have opposite signs then their product is always___
(iv) The reciprocal of a positive rational number is ___ and the reciprocal of a negative rational number is___
(v) Rational number 0 has___ reciprocal.
(vi) The product of a rational number and its reciprocal is ___
(vii) The numbers ___and ___are their own reciprocals.
(viii) If M is reciprocal on N,then the reciprocal of N is___

Q. Fill in the blanks:
(i) The product of two positive rational numbers is always .....
(ii) The product of a positive rational number and a negative rational number is always .....
(iii) The product of two negative rational numbers is always .....
(iv) The reciprocal of a positive rational number is .....
(v) The reciprocal of a negative rational number is .....
(vi) Zero has ..... reciprocal.
(vii) The product of a rational number and its reciprocal is .....
(viii) The numbers ..... and ..... are their own reciprocals.
(ix) If a is reciprocal of b, then the reciprocal of b is .....
(x) The number 0 is ..... the reciprocal of any number.
(xi) Reciprocal of

\frac{1}{a}, a \neq 0

is .....
(xii) (17 × 12)⁻¹ = 17⁻¹ × .....

The product of two irrational numbers is

(a) always irrational

(b) always rational

(d) sometimes rational and sometimes irrational

Q. Which of the following statements is true?
(a) Product of two irrational numbers is always irrational
(b) Product of a rational and an irrational number is always irrational
(c) Sum of two irrational numbers can never be irrational
(d) Sum of an integer and a rational number can never be an integer

Fill in the blanks :

(i)The product of two positive rational numbers is always_______________.
(iii) The product of two negative rational numbers is always_______________.

(iv) The reciprocal of a positive rational number is _______________.

(v) The reciprocal of a negative rational number is _______________.

(vi) Zero has _______________ reciprocal.

(vii) The product of a rational number and its reciprocal is ____________.

(viii) The numbers_______________and_______________are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is _______________.

(x) The number 0 is __________________ the reciprocal of any number.

(xi) Reciprocal of $\frac{1}{a}, a \neq$ is __________________.

(xii) $(17 \times 12)^{- 1} = 17^{- 1} \times$ __________________.

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