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
Using Appropriate properties find:


Solve this by using distributive property multiplied by then subtracted from .

Write the additive inverse of the following:

Verify that , by taking

The multiplicative inverse of is

The multiplicative inverse of



Multiplicative inverse of .


Using distributive law, simplify and express in form of improper fraction.

Simplify and answer in form:

Solve using a suitable property. Also, name the property used.
.

Solve using a suitable property. Also, name the property used.
.

Subtract the additive inverse of from the multiplicative inverse of .

Name the property used to solve the following:

and are two rational numbers. Then which of the following statements are true about and .
is a rational number
is a rational number
is a rational number
is a rational number

Which of the following statement is false?

is called the reciprocal or multiplicative inverse of another non-zero rational number , if
