These show how to go from one metric unit to another. Metric Conversions These show how to go from one metric unit to another.
Types of units Base units – can be measured directly Derived – are gotten by a formula or mathematical operation.
There are 3 Systems 1. English System ex: inches, pounds, gallon Metric system (need to know) – A. base units distance-meter (m) mass – grams (g) time – seconds (s) temperature – Kelvin (K) amount of substance (number of) – mole (mol) intensity of light – candela (cd) B. Common derived unit volume – liter (L)
International System The major difference for this class regarding units between the SI system and metric system is the unit for mass is kilogram (kg).
Metric Chart gram liter meter Mega Kilo hecto deca Base deci centi gram liter meter Mega Kilo hecto deca Base deci centi milli micro nano M k h da d c m n
Example: Convert 1.00 meter to a kilometer. 1. Place the decimal of the given number (1.00 meter) at the place that matches the starting unit. Mega (M) micro (µ) Hecto (h) deka(da) nano (n) De`ci (d) milli (m) centi (c) Kilo (K) Base I M _ _ k h da B d c m _ _ µ 1.00
2. Find the prefix for the number that you want to convert it to. M _ _ k h da B d c m _ _ µ 1.00
3. Count the number of places that you will need to move the decimal. M _ _ k h da B d c m _ _ µ 1.00 So the final answer is .001 km.
Example 2: Convert 0.0003cm to km M _ _ k h da B d c m _ _ µ .0 0 0 3 Line up the decimal at the centi place.
Find the unit to convert to, (kilo in this example). M _ _ k h da B d c m _ _ µ .0 0 0 3 The decimal is moved 5 places to the left so that is what you do for the number. The answer is .000000003
Example 3: Convert 3.08g to µg. M _ _ k h da B d c m _ _ µ 3.08
Find the prefix you are converting to. M _ _ k h da B d c m _ _ µ 3.08 We then have to do that to the number. The final answer is 3080000 µg.
Practice problems Convert the following: 400 meters to millimeters 5800 liters to hectoliters 6120 nanograms to milligrams .08745 centimeters to kilometers
Homework: Convert each to the unit given. 1. 1.0 g to Kg 9. 2.0 hg to cg 2. .003 cm to meter 10. 0.06 cm to µm 3. 1.6 hg to g 11. 573.2 g to Mg 4. 89.3 dam to dm 12. 0.564 L to mL 5. 100 cm to m 13. 0.0077mL to hL 6. 0.740 Mm to Km 14. 55.3 mg to g 7. 0.0009 µm to m 15. 36 KL to ML 8. 2,000,000 mm to km 16. 6996 dL to L