Question

Commutative property w.r to
multiplicative in Z
​

Answer 1

Answer:

Commutative property w.r.t addition of integers

When two integers are added, the result obtained is the same integer even if the sequence of addition changes.

Eg. −1+5=4 and 5+(−1)=4

Hence, the commutative property is closed for addition w.r.t. integers.

Commutative property w.r.t subtraction of integers

When one integer is subtracted from the other, the result obtained is not the same integer, when the sequence of subtraction changes.

Eg. −1−5=−6 but 5−(−1)=5+1=6

Hence, the commutative property is not closed for subtraction w.r.t. integers.

Commutative property w.r.t multiplication of integers

When two integers are multiplied, the result obtained is the same integer even if the sequence of multiplication changes.

Eg. −1×5=−5 and 5×(−1)=−5

Hence, the commutative property is closed for multiplication w.r.t. integers.

Commutative property w.r.t division of integers

When one integer is divided by the other, the result obtained is not the same integer, when the sequence of division changes.

Eg. −1÷5=−

5

1

but 5÷(−1)=−5

Hence, the commutative property is not closed for division w.r.t. integers.

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