Question

mensional analysis: steps: step 1: identify the starting unit and the unit you want to convert to. step 2: choose the correct conversion factor that relates the two units. step 3: set up and solve the problem so the units cancel. sample 1: how many minutes are there in 3.5 hours? sample 2: a student measures the length of a door to be 2.3 meters. express this value in millimeters.

Explanation:

Step1: Identify starting and target units

Starting unit is hours, target unit is minutes.

Step2: Choose conversion factor

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

Step3: Set - up and solve

$3.5\ hours\times\frac{60\ minutes}{1\ hour}=3.5\times60\ minutes = 210\ minutes$

for second problem:

Step1: Identify starting and target units

Starting unit is meters, target unit is millimeters.

Step2: Choose conversion factor

1 meter = 1000 millimeters, so conversion factor is $\frac{1000\ mm}{1\ m}$.

Step3: Set - up and solve

$2.3\ m\times\frac{1000\ mm}{1\ m}=2.3\times1000\ mm = 2300\ mm$

Answer:

210 minutes