The two conversion factors for the equality 1 in $=2.54 \mathrm{~cm}$ are properly shown below.
$\frac{1 \mathrm{in}}{2.54 \mathrm{~cm}}$ and $\frac{2.54 \mathrm{in}}{1 \mathrm{~cm}}$
true
false
Answer
Final Answer: The statement in the question is \(\boxed{false}\).
Step 1 ：The question is asking whether the two conversion factors for the equality 1 in = 2.54 cm are correctly shown. The two conversion factors given are 1 in/2.54 cm and 2.54 in/1 cm.
Step 2 ：The first conversion factor is correct, as it states that 1 inch is equivalent to 2.54 cm. However, the second conversion factor is incorrect. It should be 2.54 cm/1 in, not 2.54 in/1 cm. This is because 1 inch is equivalent to 2.54 cm, not the other way around.
Step 3 ：Therefore, the statement in the question is false.
Step 4 ：Final Answer: The statement in the question is \(\boxed{false}\).
