Name the property of rational numbers illustrated by each of the following statements:

$\frac{-3}{4}\times \left(\frac{-5}{6}+\frac{7}{8}\right)=\left(\frac{-3}{4}\times \frac{-5}{6}\right)+\left(\frac{{\displaystyle -3}}{{\displaystyle 4}}\times \frac{{\displaystyle 7}}{{\displaystyle 8}}\right)$

(Associative property/ Distributive property/ Commutative property)

Name the property of rational numbers illustrated by each of the following statements:

$\frac{-16}{9}\times 1=1\times \frac{{\displaystyle -16}}{{\displaystyle 9}}$

(Additive identity/ Commutative Property/ Multiplicative identity)

Name the property of rational numbers illustrated by following statement:

$\frac{-11}{15}\times \frac{15}{-11}=\frac{{\displaystyle 15}}{{\displaystyle -11}}\times \frac{{\displaystyle -11}}{{\displaystyle 15}}=1$

(Commutative Property / Multiplicative Inverse/ Additive Inverse)

$\frac{-7}{5}\times 0=0$$$represents the _____ property of zero.

The product of a rational number and its reciprocal is _____

Zero has _____ reciprocal. (no/ one/ two/ infinite)

The number $1$ and _____ are their own reciprocals.

Zero is _____ the reciprocal of any number.

The reciprocal of  $\mathrm{a}$ where $\mathrm{a}\ne 0$ is _____