Number System-2

1. For $a,b,c \in R$, $a+c=b+c \Rightarrow a=b$, then it is ______ property

2. For $a,b,c \in R$ if $a=b, b=c \Rightarrow a=c$, then it is ______ property

3. If $n$ is an odd number then $(i)^n$ is equal to

4. $a(b+c-d)=ab+ac-ad$ is _______ property

5. If $n$ is an even integer, then $(i)^n$ is equal to

6. If $\frac{a}{b}=\frac{ka}{kb}$, $k\ne 0$, this rule is called

7. For $a,b,c \in R$, $a=b\Rightarrow ac=bc$, then it is _______ property

8. For $a,b,c \in R$, and $a>b, b>c \Rightarrow a>c$, then it is ________ property

9. For $a,b,c \in R$, if $a>b$ and $c<0$, then

10. If $ a < b $ then

11. The set $\{1\}$ has closure property with respect to

12. For all $a\in R$, $a=a$ is ____________ property

13. For all $a,b \in R$, $a=b \Rightarrow b=a$ is called ________ property

14. For $a,b,c \in R$, $a=b \Rightarrow a+c=b+c$, then it is ______ property

15. For $a,b,c \in R$, if $a<b$ and $c>0$, then which one is true

16. If $a$ is any non-zero real number, then its multiplicative inverse is

17. The set $\{1,-1\}$ is closed with respect to

18. If $a>0$ and $b<0$, then

19. The multiplicative invers of 0 is

20. If $n$ is an integral multiple of 4, then $(i)^n$ is equal to