Verify that the commutative property does not hold true for the division of the following set of rational numbers.

$\frac{2}{7}, \frac{1}{2}$

Verify that the commutative property does not hold true for the division of the following set of rational numbers.

Verify that the associative property holds true for the multiplication of the following sets of rational numbers.

$\frac{2}{7}, \frac{5}{8}, \frac{7}{10}$

Verify that the associative property holds true for the multiplication of the following sets of rational numbers.

Verify the distributive property of multiplication over addition.

$\frac{4}{5}\left(\frac{3}{7}+\frac{2}{3}\right)=\frac{4}{5}\times \frac{3}{7}+\frac{4}{5}\times \frac{2}{3}$

Verify the distributive property of multiplication over subtraction.

Find the additive inverse of the following rational number.

$9$

Find the additive inverse of the following rational number.