MathDB

Suppose

n^{*}

means

\frac{1}{n}

, the reciprocal of

n

. For example,

5^{*}=\frac{1}{5}

. How many of the following statements are true?
i)

3^*+6^*=9^*

ii)

6^*-4^*=2^*

iii)

2^*\cdot 6^*=12^*

iv)

10^*\div 2^* =5^*

\text{(A)}\ 0 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 2 \qquad \text{(D)}\ 3 \qquad \text{(E)}\ 4

Problem Statement