Question
If $$0.13 \div {p^2} = 13{\text{,}}$$ then p equals = ?
Answer: Option B
$$\eqalign{
& \Leftrightarrow \frac{{0.13}}{{{p^2}}} = 13 \cr
& \Leftrightarrow {p^2} = \frac{{0.13}}{{13}} \cr
& \Leftrightarrow {p^2} = \frac{1}{{100}} \cr
& \Leftrightarrow p = \sqrt {\frac{1}{{100}}} \cr
& \Leftrightarrow p = \frac{1}{{10}} \cr
& \Leftrightarrow p = 0.1 \cr} $$
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$$\eqalign{
& \Leftrightarrow \frac{{0.13}}{{{p^2}}} = 13 \cr
& \Leftrightarrow {p^2} = \frac{{0.13}}{{13}} \cr
& \Leftrightarrow {p^2} = \frac{1}{{100}} \cr
& \Leftrightarrow p = \sqrt {\frac{1}{{100}}} \cr
& \Leftrightarrow p = \frac{1}{{10}} \cr
& \Leftrightarrow p = 0.1 \cr} $$
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