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

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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 =1/2 and b=3/4​

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Aaliyah 1 month 2021-08-16T03:59:03+00:00 1 Answers 0 views 0

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    2021-08-16T04:00:24+00:00

    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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