YOU TRY 3 Fill in the blank with the appropriate metric unit. Use milligrams, grams, or kilograms. a) One packet of sugar substitute contains 1 . b) One serving of canned spaghetti contains 450 of potassium. c) Melinda’s laptop weighs 1.8 . 4 Convert Between Metric Units of Weight (Mass) We can use unit fractions or the metric conversion chart to convert from one unit of weight (mass) to another. Metric Conversion Chart g or 0.001 g 1 1000 g or 0.01 g 1 100 g or 0.1 g 1 10 1000 g 100 g 10 g 1 g kg hg dag g dg cg mg Since we use grams, kilograms, and milligrams most often, remember the following relationships: 1 kg 1000 g 1000 mg 1 g Change to the indicated unit using unit fractions and using the metric conversion chart. a) Charise weighs 54 kg. Change kilograms to grams. b) The chemist mixed 175 mg of sodium chloride with water. Change milligrams to grams. Solution a) Unit fractions: To change kilograms to grams, use the relationship 1 kg 1000 g. 54 kg 1000 g 1 kg 54 kg 1 1000 g 1 kg Divide out the unit of kilograms. 54,000 g 1 Multiply. 54,000 g Simplify. So, 54 kg 54,000 g. (This is about 119 lb.) Metric Conversion Chart: Start at kg on the metric conversion chart and move three places to the right to get to g. Now, move the decimal point three places to the right. 54. kg 54000. g Put the decimal point at Move the decimal point the end of the number. three places to the right. So, 54 kg 54,000 g. EXAMPLE 4 www.mhhe.com/messersmith SECTION 7.3 The Metric System: Capacity and Weight (Mass) 461
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