Properties of Rational Numbers
Properties of Rational Numbers: Overview
This topic covers concepts, such as, Algebraic Properties of Number Systems, Closure Property of Number Systems, Distributive Property of Integers & Distributive Property of Rational Numbers etc.
Important Questions on Properties of Rational Numbers
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 "


What is the reciprocal of ?

By using the properties of rational numbers solve the following equation .

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 .

The multiplicative inverse of a rational number 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.

Given one example to show that whole numbers do not follow commutative property under subtraction.

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.
