mention the communicative associative and distributive property of rational number also check a x b = b x a and a + b =b + A for a

1 thought on “mention the communicative associative and distributive property of rational number also check a x b = b x a and a + b =b + A for a”

1. HERE’S YOUR ANSWER BUDDY

   Step-by-step explanation:

   1. Commutativity- Rational numbers are commutative under addition and multiplication. If p and q are two rational numbers, then:

   Commutative law under addition says- p + q = q + p.

   Commutative law under multiplication says p x q = q x p.

   Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.

   2.Associative Property

   Rational numbers follow the associative property for addition and multiplication.

   Suppose x, y and z are rational, then for addition: x+(y+z)=(x+y)+z

   For multiplication: x(yz)=(xy)z.

   3.Distributive Property

   The distributive property states, if a, b and c are three rational numbers, then;

   a x (b+c) = (a x b) + (a x c)

   Example: 1/2 x (1/2 + 1/4) = (1/2 x 1/2) + (1/2 x 1/4)

   LHS = 1/2 x (1/2 + 1/4) = 3/8

   RHS = (1/2 x 1/2) + (1/2 x 1/4) = 3/8

   Hence, proved

   Example: 1/2 + (1/4 + 2/3) = (1/2 + 1/4) + 2/3

   ⇒ 17/12 = 17/12

   And in case of multiplication;

   1/2 x (1/4 x 2/3) = (1/2 x 1/4) x 2/3

   ⇒ 2/24 = 2/24

   ⇒1/12 = 1/12

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