1. The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

2. What is the Metric System?  System of measurements that is based on increments of 10.  Why should I learn about the Metric System of Measurement? Much easier to convert measurements compared to the English System of Measurement Over 95% of the world uses the metric system.  In fact only 3 countries still use the English System of Measurement Myanmar Liberia The United States

3. The basic units of the Metric System:  A METER is the basic unit of length in the Metric System.  A GRAM is the basic unit of weight and mass in the Metric System Think of the weight of a gram to be about 1 paper clip.  A LITER is the basic unit of volume in the Metric System.

4. There are also units of the Metric System which are smaller than the basic units. Unit Relationship to the basic unit… Abbreviation Meter Gram Liter Decimeter Decigram Deciliter Centimeter Centigram Centiliter Millimeter Milligram Milliliter The basic unit 10 in the basic unit 100 in the basic unit 1000 in the basic unit mglmgl dm dg dl cm cg cl mm mg ml ×10 Moving from a larger unit to a smaller unit you must multiply because there are a lot of the smaller units inside of the larger unit. ÷10 Moving from a smaller unit to a larger unit you must divide because you must see how many groups of the smaller units are inside the larger unit.

5. Converting Between Metric Units… 17 m = ________ cm Larger unit to a small unit… so multiply 17 m × 10 × 10 1,700 86,000 mg = ________ g Smaller unit to a larger unit… so divide 86,000 mg ÷ 10 ÷ 10 ÷ 10 86 9.81 dl = ________ cl Larger unit to a small unit… so multiply 9.81 dl × 10 98.1 83 mm = ________ m Smaller unit to a larger unit… so divide 83 mm ÷ 10 ÷ 10 ÷ 10 0.083 Try converting some metric units of length, weight/mass and volume with your teammates. Raise your hand when you are complete so your teacher can check your solutions.

6. Units which are larger than the basic units…  There are also units which are larger than the basic units: 10 of the basic unit put together are called a decameter, decagram, or decaliter.  To remember this think of a decade. A decade is 10 years, while a “decaunit” has 10 units put together. 100 of the basic unit put together are called a hectometer, hectogram, or a hectoliter. 1,000 of the basic unit put together are called a kilometer, kilogram, or a kiloliter.

7. Unit Relationship to the basic unit… Abbreviation multiply Moving from a larger unit to a smaller unit you must multiply because there are a lot of the smaller units inside of the larger unit. divide Moving from a smaller unit to a larger unit you must divide because you must see how many groups of the smaller units are inside the larger unit. Meter Gram Liter Decimeter Decigram Deciliter Centimeter Centigram Centiliter Millimeter Milligram Milliliter The basic unit 10 in the basic unit 100 in the basic unit 1000 in the basic unit mglmgl dm dg dl cm cg cl mm mg ml Kilometer Kilogram Kiloliter Hectometer Hectogram Hectoliter Decameter Decagram Decaliter 1000 of the basic unit 100 of the basic unit 10 of the basic unit km kg kl hm hg hl dam dag dal ×10 ÷10 ×10

8. Unit Relationship to the basic unit… Abbreviation Mnemonic Device Meter Gram Liter Decimeter Decigram Deciliter Centimeter Centigram Centiliter Millimeter Milligram Milliliter The basic unit 10 in the basic unit 100 in the basic unit 1000 in the basic unit mglmgl dm dg dl cm cg cl mm mg ml Kilometer Kilogram Kiloliter Hectometer Hectogram Hectoliter Decameter Decagram Decaliter 1000 of the basic unit 100 of the basic unit 10 of the basic unit km kg kl hm hg hl dam dag dal ×10 ÷10 ×10 Mnemonic Device to remember the order of the Metric Units… “King (Kilo…) Henry (Hecto…) Died (Deca…) By (Basic Unit) Drinking (Deci…) Chocolate (Centi…) Milk.” (Milli…)

9. More Converting Between Metric Units… 230 km = ________ m Larger unit to a small unit… so multiply 230 km × 10 × 10 × 10 230,000 6,000 hg = ________ dag Larger unit to a small unit… so multiply 6,000 hg × 10 60,000 82 kl = __________ cl Larger unit to a small unit… so multiply 82 dl × 10 × 10 × 10 × 10 × 10 8,200,000 72.814 dm = ________ dam Smaller unit to a larger unit… so divide 72.814 mm ÷ 10 ÷ 10 0.72814 Try converting some metric units of length, weight/mass and volume with your teammates. Raise your hand when you are complete so your teacher can check your solutions.