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

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

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

$\begin{array}{l}(s\text{ â¶Ä‰}+\text{ â¶Ä‰}20)\text{ }(−\text{ }7)=\text{ â¶Ä‰}s\text{ â¶Ä‰}·\text{ â¶Ä‰}(−\text{ }7)\text{ â¶Ä‰}+\text{ â¶Ä‰}20\text{ â¶Ä‰}·\text{ â¶Ä‰}(−\text{ }7)\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}7s\text{ â¶Ä‰}−\text{ â¶Ä‰}140\text{ â¶Ä‰}\\ (s\text{ â¶Ä‰}+\text{ â¶Ä‰}20)\text{ }(−\text{ }7)=\text{ â¶Ä‰}−\text{ â¶Ä‰}7s\text{ â¶Ä‰}−\text{ â¶Ä‰}140\text{ }\end{array}$