Question
Tue March 25, 2014

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

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:
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