Properties of Rational Numbers

Give the additive inverse of the following number.

$\frac{-1}{10}$

Find the additive inverse of the following rational number.

Find the additive inverse of the following rational number.

$9$

Evaluate the following using the distributive property.

Evaluate the following using the distributive property.

$\frac{3}{5}\times 22$

Give the additive inverse of the following number.

Give the additive inverse of the following number.

$17$

Verify the distributive property of multiplication over subtraction.

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 that the associative property holds true for the multiplication of the following sets 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 commutative property does not hold true for the division of the following set of rational numbers.

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 associative property holds true for the addition of the following set of rational numbers.

Verify that the associative property holds true for the addition of the following set of rational numbers.

$\frac{2}{3}, \frac{1}{2}, \frac{1}{5}$

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

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

$\frac{2}{3}, \frac{1}{2}$

Is zero a rational number? Explain why or why not.