Exercise 18 Page 324

We are asked to order the following set of measures from greatest to least. 2lb, 891g, 1kg, 0.02T Let's start by expressing each measure in the same unit. In this case, we can write each measure in pounds. First, we will express 891 grams in pounds. 891g= lb To do so, we will use the fact that 1 pound equals about 453.6 grams. Let's write this relationship as a unit ratio. 453.6 g/1lbTo perform the conversion, we need to multiply 891 grams by the unit ratio or its reciprocal. Remember, we want to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.

We got that 891 grams is equal to about 1.96 pounds. Next, we will express 1 kilogram in pounds. 1kg= lb In this case, we will use the fact that 1 pound equals 0.4536 kilogram. We can write this relationship as a unit ratio. 0.4536 kg/1lb Similar as before, we need to multiply 1 kilogram by the unit ratio or its reciprocal to perform the conversion. When multiplying conversion factors, we need to make sure the only remaining units are the desired units.

Therefore, 1 kilogram is equal to about 2.20 pounds. Finally, we will write 0.02 ton in pounds. 0.02T= lb Recall that 1 ton equals 2000 pounds. Let's write this relationship as a unit ratio. 2000 lb/1T Again, we need to multiply 0.02 ton by the unit ratio or its reciprocal to perform the conversion. Let's do it!

We got that 0.02 ton is equal to 40 pounds. Now we can compare the measures. 1.96 lb < 2lb < 2.20 lb < 40 lb ↓ 891g < 2lb < 1kg < 0.02T Finally, we will order the measures from greatest to least. 0.02T, 1kg, 2lb, 891g