Rational Numbers and their Properties

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"

Multiplicative inverse of $531$ is $-531$.

If we add a number with its additive inverse, we get:

An integer can be:

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.

Associative property does not hold for multiplication of natural numbers.

Prove that associative property does not hold for subtraction of natural numbers.

Give one example to show that integers are not associative for division.

Integers are associative for division.

Natural numbers are associative for subtraction.

Give one example to show that natural numbers does not follow associative property under subtraction?

Give one example to show that Integers are closed under subtraction.

Natural numbers are not closed under division.

Give one example to show that Natural numbers are closed under addition and one example for not closed under division.