Conversions & Scientific Notation Dimensional Analysis Conversions & Scientific Notation

Quantity – is something that has magnitude, size, or amount (length, mass, volume) “something that is measured” Unit – a standard of measurement (meter, kilogram, liter) “how something is measured”

Conversion Factor – ratio or fraction equating two different units; used to convert from one unit to the other

International System of Units (or SI units) –measurement system used by the scientific community worldwide Base Units are: meters, kilograms, seconds,and kelvins

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Length Conversions 1000 millimeters (mm) = 1 meter (m) Metric to Metric 1000 millimeters (mm) = 1 meter (m) 100 centimeters (cm) = 1 meter (m) 1000 meters (m) = 1kilometer(km)

Metric to English 2.54 cm = 1 in

Practice Convert 70 inches to centimeters Convert 1235 centimeters to feet

Mass – the amount of matter in a substance doesn’t change Weight – a force due to gravity -- can change depending on location

Mass & Weight Conversions Metric to Metric 1000 milligrams (mg) = 1 gram (g) 100 centigrams (cg) = 1 gram (g) 1000 grams (g) = 1 kilogram (kg)

Metric to English 453.59 g = 1 lb

Practice Convert 4 pounds to grams Convert 13.5 kilograms to pounds

Volume Conversions 1000 milliliters (mL) = 1 liter (L) Metric to Metric 1000 milliliters (mL) = 1 liter (L) 1000 liters (L) = 1 kiloliter (kL) 1 cubic centimeter (cm3) = 1 milliliter (mL)

Metric to English 1 L = 1.06 qt

Practice Convert 15 liters to quarts Convert 6.75 quarts to milliliters

Time Conversions 60 seconds (sec) = 1 minute (min) Universal Units 60 seconds (sec) = 1 minute (min) 60 minutes (min) = 1 hour (hr) 24 hours (hr) = 1 day 365 days = 1 year (yr)

Practice Convert 35.6 days to hours Convert 15000 seconds to days

Density Mass divided by volume for any substance Often used to identify a substance More dense objects sink to the bottom Common conversion factor M D = V

Scientific Notation Convenient way to express long numbers Rule #1 – only one non-zero digit to left of decimal Rule #2 – Large numbers have positive exponent, small numbers have negative exponent Rule #3 – move decimal right, subtract from exponent Rule #4 – move decimal left, add to exponent

Practice Convert to Scientific Notation: 7538000 = 0.0000000000000896 = Convert to regular numbers: 6.97 x 10-7 = 3.21 x 108 =

Correct the following Scientific Notation: 0 Correct the following Scientific Notation: 0.0235 x 10-13 = 5635 x 10-9 = 32569 x 105 = 0.000054 x 1035 =

Multiplying Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104)

Multiplying Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104) (3.1 x 5.01) x 103+4

Multiplying Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104) (3.1 x 5.01) x 103+4 15.531 x 107

Multiplying Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104) (3.1 x 5.01) x 103+4 15.531 x 107 1.5531 x 108

Try These: (5.13 x 103) (9.87 x 1017) (6.58 x108) (1.32 x1014) Multiplying Try These: (5.13 x 103) (9.87 x 1017) (6.58 x108) (1.32 x1014)

Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103 = 8.62 x 104

Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103 = 7.63 x 103-4 8.62 x 104 8.62

Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103 = 7.63 x 103-4 = 0.885 x 10-1 8.62 x 104 8.62

Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103 = 7.63 x 103-4 = 0.885 x 10-1 8.62 x 104 8.62 0.885 x 10-1 = 8.85 x 10-2

Dividing Try These 5.32 x 1047 1.49 x 109 3.21 x 107 1.25 x 1013 7.25 x 105 6.11 x 1011

Conversions with Sci. Not. Convert 3.24 x 108 kilometers per hour to feet per second (3.24 x 108 km/hr ? ft/sec )