Question

Please tell me about the rational no. Properties in simple and good way . Pls

Answer 1

The closure property states that for any two rational numbers a and b, a ÷ b is also a rational number. The result is a rational number. But we know that any rational number a, a ÷ 0 is not defined. ... But if we exclude 0, then all the rational numbers are closed under

division

commutative properties

For any two rational numbers a and b, a + b = b+ a and a × b = b × a

but For any two rational numbers a and b, a – b ≠ b –  a. and a÷ b is not = b ÷ a

Associative Property

Take any three rational numbers a, b and c. Firstly add a and b and then add c to the sum. (a + b) + c. Now again add b and c and then a to the sum, a + (b + c). Is (a + b) + c and a + (b + c) same? Yes and this is how associative property works.

Distributive Property

Distributive property states that for any three numbers x, y and z we have

  x × ( y + z ) = (x × y) +( x × z)

Answer 2

Explanation:

Properties of rational number are

Closure Property

Commutative Property

Associative Property

Distributive Property