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

 

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

 

 

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 (b – c) = ab – ac

and a (b + c) = ab + ac

 

Example: