Adjective:

विनिमेयशील, परिवर्तन योग्य, विनिमेय,

commutative's Usage Examples:

This is due to the fact that there are really two kinds of subtraction, respectively involving counting forwards (complementary addition) and counting backwards (ordinary subtraction); and it suggests that it may be wise not to use the one symbol - to represent the result of both operations until the commutative law for addition has been fully grasped.

may be regarded as resulting from the commutative law for addition and subtraction.

When we are familiar with the treatment of quantities by equations, we may ignore the units and deal solely with numbers; and (ii.) (a) and (ii.) (b) may then, by the commutative law for multiplication, be regarded as identical.

The commutative law for multiplication is directly illustrated; and subdivisions or groupings of the units lead to such formulae as (a+ a) (b + 0)=.

(a) The commutative law and the associative law are closely related, and it is best to establish each law for the case of two numbers before proceeding to the general case.

This is, of course, on the usual assumption that the sign of a product is changed when that of any one of its factors is changed, - which merely means that-1 is commutative with all other quantities.

Division.-From the commutative law for multiplication, which shows that 3 X 4d.

Multiplication may or may not be commutative, and in the same way it may or may not be associative.

(iii.) Where the direct operation is evolution, for which there is no commutative law, the two inverse operations are different in kind.

" Simple " practice involves an application of the commutative law.

Synonyms:

independent,

Antonyms:

unfree, dependent,