Question

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$

• A. Only $\left(i\right)$ and $\left(iii\right)$
• B. Only $\left(i\right)$ and $\left(ii\right)$
• C. Only $\left(ii\right)$ and $\left(iii\right)$
• D. All of these

Answer 1

Answer: (B)

Only $\left(i\right)$ and $\left(ii\right)$

(i) a(b+c)=ab+ac is the distributive law for all rational numbers a,b and c.
This statements is true
(ii) The rational number 1 is the multiplicative identity for rational numbers
This statements is true
(iii) Additive inverse of rational number $\frac{a}{b}$ is $\frac{c}{d}$$\frac{a}{b}$ $\frac{c}{d}$=1
This statements is not true