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 can write 396 as (400 – 4), to evaluate the expression 7(109), we can use the distributive method of multiplication.

We know that double negative is always positive. $-   \text{5}  ·  - \text{4}  =  +  20$

Distributive Property of Multiplication

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

$\begin{array}{l}−\text{ â¶Ä‰}5\text{ }\left(\text{ â¶Ä‰}396\text{ â¶Ä‰}\right)\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}5\text{ â¶Ä‰}(400−4)\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}5\text{ â¶Ä‰â€‰â¶Ä‰}·\text{ â¶Ä‰}400\text{ â¶Ä‰}+\text{ â¶Ä‰}(−\text{ â¶Ä‰}5\text{ })\text{ â¶Ä‰â€‰}·\text{ â¶Ä‰}(−\text{ â¶Ä‰}4)\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}2000\text{ â¶Ä‰}+\text{ â¶Ä‰}20\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}1980\text{ }\\ −\text{ â¶Ä‰}5\text{ }\left(\text{ â¶Ä‰}396\text{ â¶Ä‰}\right)\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}1980\end{array}$