Question

verify whether commutative property is satisfied for addition , subtraction, multiplication and division of the following pairs of rational numbers -3/4 and -2/7​

Answer 1

Addition

-3/4 + -2/7 = -27/28

-2/7 + -3/4= -27/28

The result of both cases is the same. So commutative property holds true for addition.

Subtraction

(-3/4)-(-2/7)=-13/28

(-2/7)-(-3/4)=13/28

The result of both cases isn't the same. So commutative property doesn't hold true for subtraction.

Multiplication

-3/4*-2/7=6/28= 3/14

-2/7*-3/4=6/28=3/14

The result of both cases is the same. So commutative property holds true for multiplication.

Division

(-3/4) / (-2/7) =21/8

(-2/7) / (-3/4) =8/21

The result of both cases isn't the same. So commutative property doesn't hold true for division.