Question

A group of science students is studying bacteria structure. The sample needs to be magnified 60 times in order for students to identify the key features. If an actual sample is 3 millimeters long, how many centimeters long is the magnified image? (1 millimeter = 0.1 centimeter)

Answer 1

\[1 [\text{mm} ]= 0.1 [\text{cm}]\]\[1=0.1\frac{ [\text{cm}]}{ [\text{mm}]}\]

\[60\times3[\text{mm}]=60\times3[\text{mm}]\times1\]\[\qquad\qquad=60\times3[\text{mm}]\times0.1\frac{ [\text{cm}]}{ [\text{mm}]}\]\[\qquad\quad =60\times3\times0.1\frac{ \cancel{[ \text {mm}]}[\text{cm}]}{ [\cancel {\text{mm}]}}\]