Question

station 2: creating the correct numerical setup (do not solve)
instructions: for each question, write the correct dimensional - analysis setup that would be used to solve the problem. do not perform any calculations. only write the fractions and the structure of the conversion.
example: 125 minutes to hours.
125 minutes x 1 hour / 60 minutes
question 1. 55 cm to m.
question 2. 4.5 km to meters.
question 3. 250 ml to liters.
question 4. 0.75 kg to grams.
question 5. 4 hours to seconds.

Explanation:

Question 1: 55 cm to m

Step1: Identify conversion factor

1 m = 100 cm, so the conversion factor is $\frac{1\ m}{100\ cm}$

Step2: Set up dimensional - analysis

$55\ cm\times\frac{1\ m}{100\ cm}$

Question 2: 4.5 km to meters

Step1: Identify conversion factor

1 km = 1000 m, so the conversion factor is $\frac{1000\ m}{1\ km}$

Step2: Set up dimensional - analysis

$4.5\ km\times\frac{1000\ m}{1\ km}$

Question 3: 250 mL to liters

Step1: Identify conversion factor

1 L = 1000 mL, so the conversion factor is $\frac{1\ L}{1000\ mL}$

Step2: Set up dimensional - analysis

$250\ mL\times\frac{1\ L}{1000\ mL}$

Question 4: 0.75 kg to grams

Step1: Identify conversion factor

1 kg = 1000 g, so the conversion factor is $\frac{1000\ g}{1\ kg}$

Step2: Set up dimensional - analysis

$0.75\ kg\times\frac{1000\ g}{1\ kg}$

Question 5: 4 hours to seconds

Step1: Convert hours to minutes

1 hour = 60 minutes, conversion factor $\frac{60\ minutes}{1\ hour}$

Step2: Convert minutes to seconds

1 minute = 60 seconds, conversion factor $\frac{60\ seconds}{1\ minute}$

Step3: Set up dimensional - analysis

$4\ hours\times\frac{60\ minutes}{1\ hour}\times\frac{60\ seconds}{1\ minute}$

Answer:

1. $55\ cm\times\frac{1\ m}{100\ cm}$
2. $4.5\ km\times\frac{1000\ m}{1\ km}$
3. $250\ mL\times\frac{1\ L}{1000\ mL}$
4. $0.75\ kg\times\frac{1000\ g}{1\ kg}$
5. $4\ hours\times\frac{60\ minutes}{1\ hour}\times\frac{60\ seconds}{1\ minute}$