Properties of Rational Numbers

Verify the property $x\times y=y\times x$ for the following:

$x=\frac{-21}{29}, y=\frac{58}{-7}$

Verify the property $x\times y=y\times x$ for the following:

$x=\frac{7}{9}, y=\frac{-11}{13}$

Verify the property $x\times y=y\times x$ for the following:

$x=\frac{-4}{21}, y=\frac{7}{18}$

Verify the property $x\times y=y\times x$ for the following:

$x=\frac{-3}{2}, y=\frac{5}{6}$

Given one example to show that "the sum of any two integers will always be an integer "

Given one example to show that "Subtraction of Natural numbers is not associative"

Subtraction of integers is not associative "

Give one example to show "Subtraction of integers is not associative "

An integer can be:

What is the reciprocal of $\frac{1}{-x}$?

By using the properties of rational numbers solve the following equation $(8 + 0) + (6 \times 3)$.

Division of rational numbers is associative.

The associative property is applicable to:

Explain why subtraction of two natural number is not commutative with a example.

What is the additive inverse of a rational number $\frac{p}{q}$.

The multiplicative inverse of a rational number $\frac{a}{b}$ is

Natural numbers are commutative for subtraction.

Integers are closed under

Natural numbers are commutative for addition and multiplication.

Whole numbers do not follow commutative property under subtraction.