Name the multiplication property of rational numbers shown below:

(i) $\dfrac{3}{5} \times \dfrac{-8}{9} = \dfrac{-8}{9} \times \dfrac{3}{5}$

(ii) $\dfrac{-3}{4} \times \Big(\dfrac{5}{7} \times \dfrac{-8}{15}\Big) = \Big(\dfrac{-3}{4} \times \dfrac{5}{7}\Big) \times \dfrac{-8}{15}$

(iii) $\dfrac{4}{5} \times \Big(\dfrac{3}{-8} + \dfrac{-4}{7}\Big) = \dfrac{4}{5} \times \dfrac{3}{-8} + \dfrac{4}{5} \times \dfrac{-4}{7}$

(iv) $\dfrac{-7}{5} \times \dfrac{5}{-7} = 1$

(v) $\dfrac{8}{-9} \times 1 = 1 \times \dfrac{8}{-9} = \dfrac{8}{-9}$

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 non-zero rational number and its reciprocal is …………… .

(vii) The numbers …………… and …………… are their own reciprocals.

(viii) If $m$ is reciprocal of $n$, then the reciprocal of $n$ is …………… .

Find the area and the perimeter of a rectangular piece of land with length $7\dfrac{2}{5}$ m and breadth $4\dfrac{1}{6}$ m.

$-\dfrac{4}{9}$ divided by $-\dfrac{2}{3}$ gives:

1. $\dfrac{2}{3}$

2. $-\dfrac{2}{3}$

3. $\dfrac{3}{2}$

4. $-\dfrac{3}{2}$