Question

If a, b and c be three rational numbers, then a x (b x c) = (a x b) x c is called

a. Closure property of multiplication

b. Commutative property of multiplication

c. Associative property of multiplication

d. None of these​

Answer 1

Answer:

$a \times (b \times c) = (a \times b) \times c$

shows the associative property

your answer is (c) associative property of multiplication.

other properties are false because,

• clossure property is only applicable for real numbers
• commutative property is for inverse of the statements

a×b=b×a

hope it helps to you☺️

Answer 2

Given :  a, b and c be three rational numbers,   ax(bxc) = (axb)xc

To Find : property name

a) closure property of multiplication

b) commutative property of multiplication

c) associative property of multiplication​

Solution  :

Associative Property of multiplication

How we group numbers when multiplying doesn't matter:

(a * b ) * c  = ( a * b) * c

a, b and c be three rational numbers,   ax(bxc) = (axb)xc

Hence this is called associative property of multiplication​

closure property of multiplication is multiplication of two rational numbers is always a rational number

commutative property of multiplication  : Order in which we multiply numbers does not change the product.

a * b = b * a

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