Question

Work the following problems USING the TRAIN-TRACK method. You MUST ONLY use the conversions given in the following list:

453.6g = 1 lb
1 in. = 2.54 cm
12 in = 1 ft
1 dL = 0.1 L
1000 mL = 1 L
100 cm = 1 m
5280 ft = 1 mile
60 sec = 1 min
60 min = 1 hr
0.946 L = 1 quart
4 quarts = 1 gallon
1 mL = 1 cm^3
51.0 pounds is how many grams?

Answer 1

To convert 51.0 pounds to grams, multiply 51.0 by the conversion factor of 453.6 grams per pound, which equals 23133.6 grams.

Step-by-step explanation:

To convert 51.0 pounds to grams using the train-track method, start with the given weight and use the conversion factor that 1 pound is equivalent to 453.6 grams. The train-track method is a visual way to keep track of the units and ensure they cancel out appropriately, leaving you with the desired unit. Here's how the calculation works step by step:

1. Write down the quantity you want to convert, in this case, 51.0 pounds.
2. Set up a 'train-track', which is a series of multiplication by fractions where the units cancel out successively until you are left with the desired unit.
3. Since each pound is 453.6 grams, write this as a fraction (453.6 g / 1 lb) so that the pounds unit will cancel out.
4. Multiply 51.0 lb by the fraction you wrote in step 3.
5. Calculate the result: 51.0 lb × (453.6 g / 1 lb) = 23133.6 grams.