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Notes Term 1 Unit 2 Day 1 Objective: Write numbers in scientific notation. Make unit conversions. NAME: _______________________ CONVERSIONS PWT Units: In science EVERY number comes with a unit. Measurements: English System: RIDICULOUS Metric System: Based on the number ten so easy to work with. Standard Units: Time = second (s) Length = meter (m) Mass = kilogram (kg) Temperature = Kelvin (K) Volume = Liter (L) Prefixes: The prefix tells you how far to shift the decimal forward or backward. Letter k M G T c m n Name kilo Mega giga tera centi milli micro nano Number of Zeroes 3 6 9 12 -2 -3 -6 -9 Big/Small 1000x bigger million x billion x trillion x 100x smaller 1000 x million x billion x Play the Scientific notation song here. Scientific Notation Play the Scientific notation challenge game here. Long numbers can be written in a simplified form. We can tell the viewer how far to slide the decimal forward or backward by multiplying by powers of ten STEPS: 1. First locate the decimal. 2. Next move the decimal until there is only ONE number in front of it. 3. Count the number of spaces you moved the decimal. This is the number that goes with the 10. If the original number is BIG , the exponent will be positive. If the original number is SMALL the exponent will be negative. 4. Keep only the first three numbers that you see. 5. Write the final number. 1234567.89 becomes 1.23 x 106 or 1.23E6 The Number One: To change the units on a measurement without changing the measurement itself you must multiply by the number ____one______. Explain 1 here… Notes Term 1 Unit 2 Day 1 NAME: _______________________ Dimensional Analysis (Train Tracks) STRATEGY: If you have a unit you don’t want to have then. . . . Run it over. Basic Conversion: How many seconds are in a week? 1 wk 7 days 24 hrs 60 min 60 s 1 wk Practice: If you walk one million inches, how many miles is that? 1,000,000 in Two-Layer Conversion: My corn grows 5 in / week. How many feet / year is that? 5 in wk Practice: My dog can run 13 ft / s. 13 ft How many miles / hour is that? s 1 days 1 hrs 1min 1 ft 1 mi 12 in 5280 ft 1 ft 1 wk 365 days 12 in 7 days 1 yr 1 mi 60 s 5280 ft 1 min = 604,800 s = 15.8 miles = 21.7 ft yr 60 min = 8.86 mi 1 hr hr Metric Conversions The PREFIX is the . . . . First letter (it adjusts the size). The BASE unit is the . . .Second letter (it names the unit). Basic Conversion: How many millimeters are in 3.75 meters? 3.75 m 1 mm Always Remember: 1. Prefix gets the one. 2. Base unit gets 10 to the exponent on the yellow card. 3. Always convert to base units first. = 3750 mm 10-3m Practice: How many Joules are in 5.6 kiloJoules? 5.6 kJ 103 J = 5600 J 1kJ Multiple Step Conversion: How many kilobytes are in 4.5 gigabytes? Practice: Convert 3,085 milliLiters to deciLiters. 4.5 Gb 109b 1kb 1 Gb 103b 3085 mL = 4,500,000 kb 10-3 L 1 dL 1 mL 10-1 L Combined Conversion: If I am 1.77 meters 1.77 m 1 cm 1 in 1 ft tall, how many feet is that? 10-2 m 2.54 cm 12 in Practice: How many minutes are in two million s ? 2,000,000 s 10-6 s 1 s 1 min 60 s = 30.9 dL = 5.81 ft = 0.0333 min