Transcript FFOO Conversions
Using F ancy F orms o f O ne
Multiplicative Identity Property = multiplying by one does not change the value of a number 5 · 1 = 5 x · 1 = x Multiplying by a FFOO makes your value look different, while still having the exact same value FFOO’s allow conversions between systems
1.
Create a FFOO comparing the units you have to the units you want.
FFOO = Fancy Form of One 2.
Arrange the FFOO so that the units will cross cancel.
starting unit same unit 3.
Multiply straight across. 4.
Simplify your answer
My textbook is 18.3 cm long. How many millimeters is this?
Starting Unit: cm Ending Unit: mm Conversion Factor: 1 cm = 10 mm 18.3 cm 1 10 mm = (18.3) x (10) = 183 mm 1 cm
James walks 2.3 km to school. How many meters does he walk?
Starting Unit: km Ending Unit: m Conversion Factor: 1 km = 1000 m 2.3 km 1 1000 m = (2.3) x (1000) = 2300 m 1 km
How many liters are in 355.5 milliliters of water?
Starting Unit: mL Ending Unit: L Conversion Factor: 1 L = 1000 mL 355.5 mL 1 1 L = 355.5 L = .3555 L 1000 mL 1000
The distance to Disneyland is 26.2 km. How many centimeters is this?
Starting Unit: km Ending Unit: cm Conversion Factor: ?
The distance to Disneyland is 26.2 km. How many centimeters is this?
Starting Unit: km Ending Unit: cm Conversion Factor: 1 km = 100,000 cm 26.2 km 1 100,000 cm = (26.2) x (100,000) = 1 km
2,620,000 cm