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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???
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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,
ab ≠ ba
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:
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