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{a}  ·  \text{b}  +  -  \text{a}  ·  \text{c}  \text{=}    -  \text{a}  ·  \text{b}    -  \text{a}  ·  \text{c} $

Example: $-\text{3}  \text{(8}  +  \text{5}  \text{)}  =  (-\text{3} ) ·  8  +  (-\text{3} ) ·  \text{5}  =  -24-15=-  39$

We know that double negative is always positive. $-   \text{4}  ·  - \text{7}  =  +  28$

Distributive Property of Multiplication

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

$\begin{array}{l}\text{ }−\text{ â¶Ä‰10 â¶Ä‰(18 â¶Ä‰}+\text{ }8\text{ â¶Ä‰) â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}10\text{ â¶Ä‰}·\text{ â¶Ä‰}18\text{ â¶Ä‰}+\text{ â¶Ä‰}−\text{ â¶Ä‰}10\text{ â¶Ä‰}·\text{ â¶Ä‰}8\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}180\text{ â¶Ä‰}−\text{ â¶Ä‰}80\text{ â¶Ä‰}=−\text{ â¶Ä‰}260\\ −\text{ â¶Ä‰}10\text{ (}18+8\text{ â¶Ä‰) â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}260\end{array}$