WHAT IS DISTRIVUITIVE PROPERTY IN RATIONAL NUMBERS OF CLASS 8???

 

WHAT IS COMMUTIVITY PROPERTY IN RATIONAL NUMBERS OF CLASS 8???

 

 


Asked by rajdeepsidhu788 | 25th Mar, 2014, 07:41: PM

Expert Answer:

cummutative Property
 
1.      Addition: Addition is commutative for a rational numbers. In general, for any two rational numbers a and b,
a + b = b + a
The following examples prove the commutativity of addition for rational numbers.
 
 
3/7 + 5/7 = 8/7    and       5/7 + 3/7 = 8/7
-4/9 + -7/9 = -11/9    and       -7/9 + -4/9 = -11/9
 
 
2. Multiplication: Multiplication is also commutative for rational numbers. In general, for any two rational numbers a and b,
a × b = b × a
 
 
The following examples prove the commutativity of multiplication for rational numbers.
 
                        2/7 × 5/9 = 10/63               and                       5/9 × 2/7 = 10/63
 
                        -3/5 × -8/11 =24/55           and                      -8/11 × -3/5 = 24/55
 
Subtraction: Subtraction is not commutative for rational numbers. In general, for any tow rational numbers a and b,
 
                                                a-b ≠ b-a
 
 
Look at the following example showing that subtraction of rational numbers is not commutative.
 
 
5/6 – 2/3 = 1/6 but 2/3 -5/6 = -1/6
 
 
4.Division: Division is not commutative for rational numbers. In general, for any rational numbers a and b,
 
a ÷ b ≠ b ÷a
 
Look at the following example showing that division of rational numbers is not commutative.
 
8/11 ÷ 4/5 = 10/11 but 4/5 ÷ 8/11 = 11/10
 
 
 
Distributive Property:  Let a, b and c be two arbitrary rational numbers, then
a (bc) = abac
and a (b + c) = ab + ac
 
Example:

Answered by  | 25th Mar, 2014, 10:49: PM

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