Question

7. Verify the property x x y = y x x of rational numbers by using

Answer 1

Answer:

Step-by-step explanation:

(a)        x×(y×z)

=1×(  

2

−1

​

×  

4

1

​

)

=1×(  

8

−1

​

)

=  

8

−1

​

 

(x×y)×z

=(1×  

2

−1

​

)×  

4

1

​

 

=  

2

−1

​

×  

4

1

​

 

=  

8

−1

​

 

So     x×(y×z)=(x×y)z

(b)x×(y×z)=  

3

2

​

×(  

7

−3

​

×  

2

1

​

)

=  

3

2

​

×  

14

−3

​

 

=  

42

−6

​

 

(x×y)×z=(  

3

2

​

×  

7

−3

​

)

=  

21

−6

​

×  

2

1

​

=  

42

−6

​

 

=  

2

−6

​

 

So, x×(y+z)=(x×y)×z