Metric Conversion Need to know: • Prefixes • Base units • Grams • Liters • Meters
Metric Conversion King Henry Doesn’t Usually Kilo Hecto 1000 x larger than a unit 100 x larger than a unit Deka 10 x larger than a unit Base Unit Meter (length) Liter Drink Chocolate Milk Deci Centi Milli 10 x smaller than a unit 1000 x smaller than a unit 100 centi = 1 unit 1, 000 milli = 1 unit 2 meters = 200 centimeters 2 meters = 2, 000 millimeters (liquid volume) 1 kilo = 1, 000 units 2 meters =. 002 kilometers 1 hecto = 100 units 2 meters =. 02 hectometers 1 deka = 10 units Gram (mass/weight) 10 deci = 1 unit 2 meters =. 2 dekameters m = meter L = liter g = gram 2 meters = 20 decimeters DIVIDE numbers by a power of 10 when going from SMALLER to LARGER. MULTIPLY number by a power of 10 when going from LARGER to SMALLER
Scientific Notation • Purpose: To make large quantities easier to comprehend, read & write • EX: 1 Light year = 5, 879, 000, 000 miles or (9, 460, 800, 000 km) 95 trillion km! or 9. 46 x 1012
Converting to scientific notation For decimals • move the decimal point to the right. • Place it after the first non-zero digit • The exponent will be the # of places the decimal moved • The exponent will be negative (it moved to the right) EX: . 0000643 6. 43 x 10 -5
Converting to scientific notation For whole numbers • move the decimal point to the left. • Place it after the first digit • The exponent will be the # of places the decimal moved • The exponent will be positive (it moved to the left) EX: 125, 000 1. 25 x 105