1. The document discusses the metric system including metric units for temperature, density, volume, and mass. It also covers metric prefixes that are used to modify units and increase or decrease their magnitude. 2. Mass measures the amount of matter in an object, volume measures the space an object occupies, and density is the ratio of mass to volume. 3. Conversions between metric units can be done by remembering the mnemonic "King Henry Danced Merrily Down Central Main" and moving the decimal the appropriate number of places based on the prefix "hops" between units.

1. The Metric System

2. 1. Metric Units: ºC, K degrees Celsius, kelvins temperature g/cm 3 (or g/mL) gram/cubic cm (or gram/milliliter) density L or cm 3 liter or cubic cm volume g gram mass m meter distance Symbol Unit Measurement

3. 2. Metric Prefixes: kilo- = 0.001 or 1/1000 deci- centi- milli- = 0.1 or 1/10 = 0.01 or 1/100 = 1000 hecto- = 100 deka- = 10 Prefix Symbol Multiplying Factor k h da d c m

4. 3. Mass, Volume, and Density Mass measures the amount of matter in an object. mass is always the same; weight changes depending on gravity Volume measures the space that matter occupies calculated by l . w . h (or by the displacement of water) Density is the proportion of mass in an object to its volume density = mass/volume = g/cm 3 (or g/mL)

5. 4. Converting Metric Units The following sentence helps convert between metric units: K ing H enry da nced m errily d own c entral M ain m c d m da h k Not a prefix. Can be L or g

6. Problem 1: 23 cm = _______ m Which unit is already known? Centimeters. Find cm on the chart. Count “hops” to the other unit, and pay attention to the direction: 2 hops left. Move the decimal the same number of hops in the same direction. 23 is 23.0, so two hops left yields 0.23. This would now be meters, so 0.23 m. k m h m da m m d m c m m m

7. Problem 2: _______ dg = 8.65 kg Which unit is already known? Kilograms. Find kg on the chart. Count “hops” to the other unit, and pay attention to the direction: 4 hops right. Move the decimal the same number of hops in the same direction. Four hops right yields 86,500. This would now be decigrams, so 86,500 dg. k g h g da g g d g c g m g

8. Problem 3: How many dekaliters is 29.5 milliliters? Rewrite the problem: _____ daL = 29.5 mL Which unit is already known? Milliliters. Find mL on the chart. Count “hops” to the other unit, and pay attention to the direction: 4 hops left. Move the decimal the same number of hops in the same direction. Four hops left yields 0.00295. This would now be dekaliters, so 0.00295 daL. k L h L da L L d L c L m L