Question
Tue March 25, 2014 By: Rajdeepsidhu788 @gmail.com

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

 

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

 

 


Expert Reply
Tue March 25, 2014
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:
Home Work Help