Question

What is the ratio of 1 mm to 1 cm?

Answer 1

Step 1: Given:

$l_1=1\text{mm}$

$l_{2=}1\text{cm}$

Step 2: Write the expression of the ratio of two lengths as:

$R=\frac{l_1}{l_2}$

Step 3:Substitute $1\text{mm}$ for $l_1$ and $1\text{cm}$ for $l_2$ in expression of ratio:

$$\begin{gathered} R=\frac{{10}^{-3}{\displaystyle m}}{{10}^{-2}\text{m}} \\ =\frac{1}{10} \end{gathered}$$

Hence, the ratio of 1 mm to 1 cm is $\frac{1}{10}$.