Multi-Step Unit Conversions

Multi-Step Unit Conversions

Same Process Y'all :)

Steps

• Write starting value

• Multiply by first conversion factor (same units must be diagonal to cancel)

• Multiply by second conversion factor (same units must be diagonal to cancel)

• Cancel Units

• Multiply fractions across

Multiple Choice

I am converting 69 km/hr to mi/min. 

Conversion Factors: 
1mi = 1.6km

1hr = 60min

Fill in the missing units.

 $\frac{69km}{1hr}\cdot\frac{1?}{1.6?}\cdot\frac{1hr}{60\min}=\frac{69mi}{96\min}=\frac{.71mi}{1\min}$  

•  $\frac{1mi}{1.6km}$  

•  $\frac{1.6km}{1mi}$  

•  $\frac{60\min}{1hr}$  

•  $\frac{1hr}{60\min}$  

Multiple Choice

I am converting 69 km/hr to mi/min. 

Conversion Factors: 
1mi = 1.6km

1hr = 60min

Fill in the missing units.

 $\frac{69km}{1hr}\cdot\frac{1mi}{1.6km}\cdot\frac{1?}{60?}=\frac{69mi}{96\min}=\frac{.71mi}{1\min}$  

•  $\frac{1mi}{1.6km}$  

•  $\frac{1.6km}{1mi}$  

•  $\frac{60\min}{1hr}$  

•  $\frac{1hr}{60\min}$  

Steps

• Write start value

• Multiply by conversion factors. (Units must be diagonal to cancel out)

• Cancel out units.

• Multiply

Multiple Choice

I want to convert 8 hours to seconds.

Conversion Factor:

1hr = 60min

1min = 60 seconds

Which option is set up correctly?

• 
  

  $7hrs\ \cdot\ \frac{60\min}{1hr}\cdot\frac{60\sec}{1\min}=25,200\sec$
  

• $7hrs\ \cdot\ \frac{60hrs}{1\min}\cdot\frac{60\min}{1\sec}=25,200\sec$

Open Ended

I want to convert 3 hours to seconds.

Conversion Factor:

1hr = 60min

1min = 60 seconds

How many seconds will I end up with? 

Multiple Choice

I want to convert 70mL to cups.

Conversion Factors:

30mL = 1oz

8oz = 1cup

How many cups will I have?

Use a calculator.

• .89 cups

• .49 cups

• .29 cups

• 1 cup

Multiple Choice

Convert  $\frac{52km}{1\sec}$  to  $\frac{mi}{hr}$  

Conversion Factors: 
1 mi = 1.6 km
1 min = 60 sec
1 hr = 60 min

•  $\frac{\left(117,000\ mi\right)}{1\ hr}$  

•  $\frac{\left(200,000\ mi\right)}{1\ hr}$  

•  $\frac{\left(120,000\ km\right)}{1\ hr}$