91Ó°ÊÓ

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $-\text{a}  \text{(b}  -  \text{c}  \text{)}  =  (-\text{a} ) ·  \text{b} -  (-\text{a} ) ·  \text{c} $

Example: $-\text{3}  \text{(8}  -  \text{5}  \text{)}  =  (-\text{3} ) ·  8 -   (-\text{3} ) ·  \text{5}  =  -24+15=-  9$

We know that double negative is always positive. $-2  ·  (-  r)  =  +  2r$

Distributive Property of Multiplication

Property: $-\text{a}  \text{(b}  -  \text{c}  \text{)}  =  (-\text{a} ) ·  \text{b} -  (-\text{a} ) ·  \text{c} $

localid="1649343437037" $\begin{array}{l}−\text{ â¶Ä‰}2(3−r)=\text{ â¶Ä‰}−\text{ â¶Ä‰}2\text{ â¶Ä‰}·\text{ â¶Ä‰}3\text{ â¶Ä‰}−\text{ â¶Ä‰}2\text{ â¶Ä‰}·(-\text{ â¶Ä‰}r\text{ ) }=\text{ â¶Ä‰}−\text{ â¶Ä‰}6\text{ â¶Ä‰}+\text{ â¶Ä‰}2r\text{ â¶Ä‰}=\text{ â¶Ä‰}2r\text{ â¶Ä‰}−\text{ â¶Ä‰}6\\ −\text{ â¶Ä‰}2(3−r)=\text{ â¶Ä‰}−\text{ â¶Ä‰}6\text{ â¶Ä‰}+\text{ â¶Ä‰}2r\text{ â¶Ä‰}=\text{ â¶Ä‰}2r\text{ â¶Ä‰}−\text{ â¶Ä‰}6\end{array}$