If a+b = b+a for any two rational numbers a and b, then it satisfies the ___ property of addition for rational numbers.

Q.

If a$\times$(b+c) = (a$\times$b) + (a$\times$c), then it satisfies which of the following properties of Rational numbers?

Q. For any rational number $\frac{a}{b}$, its additive inverse is ..........

Q. Verify commutative property for addition and multiplication of rational numbers using a and b, where a = $\frac{1}{2}$ and b = $\frac{-3}{4}$.

Q. Which of the following statements is true?
$\left(i\right)$ $a(b+c)=ab+ac$ is the distributive law for all rational numbers $a,b$ and $c$.
$\left(ii\right)$ The rational number $1$ is the multiplicative identity for rational numbers.
$\left(iii\right)$ Additive inverse of rational number $\frac{a}{b}$ is $\frac{c}{d}$ if $\frac{a}{b}$ $\times$ $\frac{c}{d}$$=1$

Q. For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b}\times \frac{c}{d}=1$, then the rational number $\frac{c}{d}$ is known as