Page 24 - E booklet prep 2_Neat

Second : Multiplication operation:

The properties of multiplication of real numbers

? Closure :

The product of any two real numbers is a real number; therefore, we

say R is closed under multiplication operation. (For every a ? R and b

? R and b ? R ? a × b ? R )

? Commutative property:

(for every a ? R and b ? R ? a×b = b × a )

? Associative property:

(for every a? R ? (a×b) ×c = a × (b) ×c)

? The multiplication inverse for every non-zero real number:

(for every a ? R , a ?0 there is 1 ?R?a× 1- 1 × ?? = 1)
?? ??
??

Example (2):

Find the result of : v?? × ?? v?? ÷ ??
?? ????v?? ??v??

Solution:

v?? × ?? v?? × ?? v?? =1
??
????v?? ??

1ST TERM MATH-PREP.2

24 | P a g e