Measuring and Units Measurement The Dominion Mandate requires us to gain knowledge about God’s creation. To do so, we must take measurements. measurement the act of comparing an unknown quantity to a standard unit Types of Measurements Quantitative Uses numbers Qualitative Uses descriptions Measurements 27 millimeters Quantity Prefix Basic Unit When you write a measurement … You must have a number. You must have a unit. (How much information does the statement “I ran 7” give you?) instrument a device to aid in measuring Instrument Has units on a scale Is calibrated Is accurately subdivided Quantitative or Qualitative 4 feet Extra large Hot 100 degrees F Sunny 96 SI System (International System of Units) Started with the metric system. Expanded to SI. SI System (International System of Units) There are 7 base units. We will use 5 of these. base units units that do not come from other units Chemistry Base Units Length ………… Meter (m) Mass …………… Kilogram (kg) Amount ……….. Mole (mol) Time …………… Second (s) Temperature …. Kelvin (K) derivative units units derived from base units Example: Volume derives from length. 1 cubic decimeter = 1 liter SI System There are 22 derived SI units. Example: kg . m2 1J=1 s2 conversions changing the units Conversions FACT: As the unit size gets larger, the number of those units needed becomes less. milli 100,000 mg centi 10,000 cg deci 1,000 dg ----- 100 g deka 10 dag hecto 1 hg kilo 0.1 kg Conversions Change 123,456.7 cm to km. larger units kilo, hecto, deka, ---, deci, centi, milli smaller numbers Centi to kilo moves 5 units to the left. Conversions Change 123,456.7 cm to km. We must move the decimal 5 spaces to the left. 123,456.7 cm becomes 1.234567 km. Question Convert 124 km to meters. 1. 1240 meters 2. 12,400 meters 3. 124,000 meters 4. 1,240,000 meters mega kilo deci centi milli micro nano unit conversion The Chemist’s Secret Weapon a tool used to solve problems in which units change Unit Conversion Example: Change grams to tons. Example: Change feet/sec to miles/hr. When you multiply or divide numbers, do the same to their units also. Therefore, if the same unit is on the numerator and denominator, it “cancels out.” This is how we change units. conversion factor a statement that two quantities are equal Grid Method Given Information 1 Conversion Conversion Factor Factor (if needed) Conversion Factor Example: 1 dozen eggs = 12 eggs Usually written as a fraction One dozen eggs 12 eggs Unit Conversion Change 1234 mm to meters. 1234 mm 1 cm 1 dm 1 m 10 mm 10 cm 10 dm = 1.234 m Unit Conversion Convert 3625 cg to g. 3625 cg 1g = 36.25 g 100 cg Unit Conversion How many pounds does a 37.6 kg boy weigh if 28.35 g is equal to one ounce? (1 lb is 16 ounces.) Unit Conversion 37.6 kg to lbs 37.6 kg 1000 g 1 oz 1 lb 1 kg 28.35 g 16 oz = 82.892416 lbs = 82.9 lbs Unit Conversion How many grams are in a beef patty that is 0.33 pounds? (1 oz is 28.35 grams.) 0.33lb 16 oz 28.35 g = 149.68 g 1 lb 1 oz = 150 g Unit Conversion Calculate the cost of gas on a round trip from San Francisco to Los Angeles. The car used gets 24 miles per gallon of gasoline. Gas is $3.09 per gallon. The distance between the cities is 403 miles (one way). Unit Conversion 806 miles 1 gal $3.09 24 miles 1 gal = $103.7725 = $104 Question Convert 101 lbs to grams. 1. 2. 3. 4. 5. 34,905 g 0.21982 g 56.436 g 177.05 g 45,813 g