Warm-up (IB):

2. Warm-up (IB): • Do the following metric conversions showing dimensional analysis • 62.262 km to m • 44.721 mm to km • 2.15 cm to mm

3. Scientific Notation • Write out 600 sextillion out on your paper (hint: that is a 600 with 21 zeros behind it. • 600,000,000,000,000,000,000,000 • Would you want to write that number out 20 times on your paper when doing calculations? This number is a common number in chemistry.

4. Scientific Notation • There are 2 reasons why we have scientific notation • 1. It is easier to write very large and vary small numbers. • 2. It allows us to convey numbers easily with the correct number of sig figs. • Format: Numbers are written as a product of a number between 1 and 10, times the number 10 raised to a power. • Ex. 6.02x1023 or 6.02x10^23

5. Scientific notation • A negative exponent for a number means that number is less than 1. • A positive exponent for a number means that number is greater than 1.

6. Scientific Notation • Converting decimal to Scientific notation • RNLP- “Registered Nurses Love Patients”, Right for negative and left for positive • 1090000 • 1.09x10^6 • 0.000462 • 4.62x10^-4 • Converting Scientific notation to decimal • Use opposite rules for RNLP • 5.92x10^3 • 5920 • 8.2x10^-5 • 0.000082

7. Practice • Convert to Scientific notation • 23600 a.) 2.36x10^-2 b.) 2.36x10^-4 c.) 2.36x10^2 d.) 2.36x10^4 • 0.01054 a.) 1.054x10^-2 b.) 1.054x10^-4 c.) 1.054x10^2 d.) 1.054x10^4 • Convert to decimal notation • 8.15x10^4 a.) 0.000815 b.) 81500 • 6.046x10^-2 a.) 0.06046 b.) 604.6

8. Extra Practice Convert the following to Scientific Notation • 4230100 0.00000032 400 Convert the following to Decimal Notation • 6.02x10^4 5.21x10^-3 8x10^-6 4.2301x10^6 3.2x10^-7 4x10^2 6020 0.00521 0.000008

9. Warm-up: • Solve the following problems. • 3 x 4 4 3 • 6 x 1 x 8 8 6 2 • cm x in x ft = cm in • g x mol x atoms = g mol

10. Dimensional Analysis • Also called unit conversion • Purpose: convert units of one thing to the next • Ex. Convert feet to inches, kilometers to meters, etc. • How it works • Dimensional analysis is finding a conversion factor which equals one and using that to switch units

11. Examples • Convert 2 feet to inches. • First need to know how many inches in a foot. • 1 foot = 12 inches • 2 ft x 12in = 1ft • Convert 45 cm to meters • First need to know how many cm in a meter • 1 meter = 100 cm • 45cm x 1m = 100cm

12. 1000 m = 1 km • 100 cm = 1 m length problems • 1000 mm = 1 m • 1000 L = 1 kL • 100 cL = 1 L volume problems • 1000 mL = 1 L • 1000 g = 1 kg • 100 cg = 1 g mass problems • 1000 mg = 1 g

13. Examples • Convert your age in years to seconds. • First need to know the path you’re going to take. • We know how many days are in a year (365d = 1yr) • We know how many hours are in a day (24hr = 1 day) • We know how many minutes are in an hour (60min = 1 hr) • We know how many seconds are in a min (60s = 1min) • Now put it together starting with what you know. • 16 yrs x xxx = 365d 24hr 60min 60s IDC 1yr 1d 1hr 1min

14. Dimensional Analysis Examples • 15.2 days into hours • 24.0 hours = 1 day • A) 1 day B) 24 hrs 24 hrs 1 day

15. Dimensional Analysis Examples • 30.0 centimeters into inches • 1 inch = 2.54 centimeters • A) 1 in. B) 2.54 cm 2.54 cm 1 in. • 16 meters/second into miles/hour • 1 meter/second = 3.60 km/h • 1 km/h = 0.621 mi/h • A) 1 m/s B) 3.6 km/h 3.6 km/h 1 m/s • A) 1 km/h B) 0.621 mi/h 0.621 mi/h 1 km/h

16. Dimensional Analysis Examples • 2.1 light years into feet • 1 light-year = 9.46 x 1015 meters • 1 foot = 0.31 meters • A) 1 lyr B) 9.46x10^15 m 9.46x10^15 m 1 lyr • A) 1 ft B) 0.31 m 0.31 m 1 ft

17. Dimensional Analysis Examples • 14.6 kilometers into inches • 1 km = 0.621 miles • 1 mile = 5280 feet • 1 foot = 12 inches • A) 1 km B) 0.621 miles 0.621 miles 1 km • A) 1 mile B) 5280 ft 5280 ft 1 mile • A) 1 ft B) 12 in. 12 in. 1 ft

18. Warm-up: • Without a calculator solve the following problems • 1312 x 1 x 1000 100 1 • 546 x 1 x 1 x 1 x 100 x 100 100 10 1000 1 1

19. 2 types of measurement systems • English system • System is based off of the kings • The system used to change for every new king • Now the system is stable but is confusing to convert • Metric system • Developed to reduce the problems of conversion • System is used by the majority of the world • The whole system is based off of powers of 10

20. Metric System • The metric system is based on a base unit that corresponds to a certain kind of measurement • Length = meter (m) • Volume = Liter (L) • Weight (Mass) = gram (g) • Prefixes plus base units make up the metric system • Example: • Centi + meter = Centimeter • Kilo + liter = Kiloliter

21. Metric System • The three prefixes that we will use the most are: • kilo • centi • Milli • What you need to know is what those prefixes mean. • Kilo (k) = 1000 • Centi (c) = 1/100 • Milli (m) = 1/1000

22. Metric Prefixes

23. Conversion cards FRONT, use reciprocal for back 1000g 1kg 1000L 1kL 1000m 1km 100cg 1g 100cL 1L 100cm 1m 1000mg 1g 1000mL 1L 1000mm 1m

24. Metric conversions • Lets start by doing a simple conversion. • Convert 2 kilometers into meters • We start with what we know • 2 km x • We now need to find a relationship between km to m. • We know that kilo = 1000. So a km = 1000m • We can use that as a conversion factor to solve • 2 km x 1000m = 1km

25. Metric conversions • Lets do a 2 step conversion. • Convert 1534 millimeters into kilometers • We start with what we know • 1534 mm x x • We now need to find a relationship between mm to km. • We know that milli = 1/1000. So a mm =1/1000m or 1000mm = 1m • We can then convert that meter into km by kilo = 1000. So a km = 1000m • We can then use the information as conversion factors • 1534 mm x 1m x 1km = 1000mm 1000m

26. 40mL x 1 L = 0.04 L 1000mL • 40ml=____ L • 5000 L=____ kL • 8 g=____ kg • 12000 L=____ kL • 50 mg=____ g 5000 L x 1 kL = 5 kL 1000 L 8 g x 1 kg = 0.008 kg 1000 g 12000 L x 1 kL = 12 kL 1000 L 50mg x 1 g = 0.05 L 1000mg

27. 4000 L x 1 kL = 4 kL 1000 L 400 cm x 1 m = 4 m 100cm • 4000 L=___ kL • 400 cm=___ m • 20 ml=___ kL • 7000 ml=___ L • 7 cm=___ mm 20 ml x 1 L x 1 kL = 0.00008 kL 1000 mL 1000 L 7000 L x 1 L = 7 L 1000 mL 7cm x 1 m x 1000mm = 70 mm 100cm 1m