Question

what are the laws of properties of commutative property. associative property . closure property. disturbutive property.... pls answer fast

Answer 1

commutative property: a+b=b+a
associative property: (a+b)+c = (a+c)+b
distributive property: a(b+c)= a×b + a×c

Answer 2

Rational numbers are commutative under addition and multiplication. If a, b are rational numbers, then:

Commutative law under addition: a + b = b + a.

Commutative law under multiplication: a x b = b x a.

Rational numbers are associative under addition and multiplication. If a, b, c are rational numbers, then:

Associative law under addition: a + (b + c) = (a + b) + c

Associative law under multiplication: a(bc) = (ab)c

  •  0 is the additive identity for rational numbers.

     •  1 is the multiplicative identity for rational numbers.

     •  The additive inverse of a rational number pqpq is - pqpq, and the additive inverse of - pqpq is pqpq.

     •  If  pqpq x abab = 1, then abab  is the reciprocal or multiplicative inverse of pqpq , and vice versa.

     •  For all rational numbers, p, q and r,  p(q + r ) = pq + pr  and  p(q - r ) = pq - pr , is known as the distributive property.

Distribution property of multiplication over substraction 
p(q - r) = pq - pr where p,q and r are rational numbers.

Distributive property of multiplication over addition 
p(q + r) = pq + pr where p,q and r are rational numbers.