Conversion factors Conversion factors for 1 ft = 12 in

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Presentation transcript:

Conversion factors Conversion factors for 1 ft = 12 in There are almost an infinite number of conversion factors that include meters:

The steps to follow Now we are ready to solve problems using the factor label method. The steps involved are: Write down the desired quantity/units Equate the desired quantity to given quantity Determine what conversion factors you can use (both universal and question specific) Multiply given quantity by the appropriate conversion factors to eliminate units you don’t want and leave units you do want Complete the math

First write down the desired quantity Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km First write down the desired quantity

Next, equate desired quantity to the given quantity Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km = 47 mi Next, equate desired quantity to the given quantity

Now we have to choose a conversion factor Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km = 47 mi Now we have to choose a conversion factor

What conversion factors are possible? Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km = 47 mi 1 km 0.621 mi 0.621 mi 1 km What conversion factors are possible?

Pick the one that will allow you to cancel out miles Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km = 47 mi 1 km 0.621 mi 0.621 mi 1 km Pick the one that will allow you to cancel out miles

Pick the one that will allow you to cancel out miles Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km = 47 mi 1 km 0.621 mi 0.621 mi 1 km Pick the one that will allow you to cancel out miles

Multiply given quantity by chosen conversion factor Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) X km = 47 mi 1 km 0.621 mi 0.621 mi 1 km Multiply given quantity by chosen conversion factor

Multiply given quantity by chosen conversion factor Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 mi X km = 47 mi Multiply given quantity by chosen conversion factor

Cross out common factors Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 mi X km = 47 mi Cross out common factors

Cross out common factors Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 X km = 47 Cross out common factors

Are the units now correct? Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 X km = 47 Are the units now correct?

Yes. Both sides have km as units. Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 X km = 47 Yes. Both sides have km as units.

Yes. Both sides have km as units. Factor label example Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 X km = 47 Yes. Both sides have km as units.

Factor label example Now finish the math. Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 = 75.7 km X km = 47 Now finish the math.

Factor label example The final answer is 75.7 km Q - How many kilometers are in 47 miles? (note: 1 km = 0.621 miles) x 1 km 0.621 = 75.7 km X km = 47 The final answer is 75.7 km