Unit Conversions

Unit Conversions

Multiple Choice

2 days is how many hours?

• 24 hours

• 48 hours

• 72 hours

2 days = 48 hours

• 1 day = 24 hours

• 2 days = 1 day times 2

• 24 hours x 2 = 48 hours

Unit Conversions (aka Dimensional Analysis)

• Step 1: Find a relationship between the 2 units you're converting

• Example: 1 day = 24 hours

• Step 2: set your relationship up as a fraction, with the unit you're converting TO on TOP and FROM on BOTTOM.

• Example: We are going from days to hours 

   $\frac{24\ hours}{1\ day}$  

Unit Conversions (aka Dimensional Analysis)

• Step 3: Multiply what you're going from by your relationship

• Example:  $\frac{2\ days}{1}\times\frac{24\ hours}{1\ day}=\frac{48}{1}\ =\ 48\ hours$  

•                From^ x Relationship^  = math! =  answer^

• Remember to put what youre going from on bottom of relationship and what you're going to on top.

Multiple Choice

If there are 100cm in 1m, convert 60cm to meters.

•  $\frac{60cm}{1}\times\frac{1m}{100cm}=\frac{60}{100}=0.6m$  

•  $\frac{60cm}{1}\times\frac{100cm}{1m}=\frac{6,000}{1}=6,000m$  

Multiple Choice

If one mile = 1600m, then 0.75 miles is how many meters?

• $\frac{0.75mi}{1}\times\frac{1600m}{1mi}=\ \frac{0.75\ \times1600}{1\times1}=1200m$

• $\frac{1600m}{1}\times\frac{1mi}{0.75mi}=\frac{1600\ \times1}{1\ \times0.75}=\ 2,133m$