1. Wednesday, 08/30/2016
Scientific Notation

2. Do Now:
Given that there are 1,000,000 microseconds in a second. How many pennies would you have if you earned one for every microsecond you were in class today (43 minutes)?
What is a shortcut that scientists might use to show REALLY big numbers?

3. Homework:
All of the worksheet (NOT the addition/subtraction scientific notation) problems must be completed by tomorrow! (Thursday!)

4. Objective The student will be able to:
express numbers in scientific and decimal notation.
Designed by Skip Tyler, Varina High School

5. How wide is our universe?
210,000,000,000,000,000,000,000 miles
(22 zeros)
This number is written in decimal notation. When numbers get this large, it is easier to write them in scientific notation.

6. A number is expressed in scientific notation when it is in the form
a x 10n
where a is between 1 and 10
and n is an integer

7. Write the width of the universe in scientific notation.
210,000,000,000,000,000,000,000 miles
Where is the decimal point now?
After the last zero.
Where would you put the decimal to make this number be between 1 and 10?
Between the 2 and the 1

8. 2.10,000,000,000,000,000,000,000.
How many decimal places did you move the decimal? 23
When the original number is more than 1, the exponent is positive.
The answer in scientific notation is
2.1 x 1023

9. So let’s try:
Estimate how small an atom is and let’s see how close you come to its true size:
So if we write its size in scientific notation in relation to the meter it would be:

10. Did You Know… What does the sun weigh?
4,400,000,000,000,000,000,000,000,000,000 lbs.
How much hydrogen does the sun burn each second?
600,000,000 metric tons

11. 1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02
The decimal was moved how many places? 8
When the original number is less than 1, the exponent is negative.
9.02 x 10-8

12. Write 28750.9 in scientific notation.
x 10-5
x 10-4
x 104
x 105

13. 2) Express 1.8 x 10-4 in decimal notation.
3) Express 4.58 x 106 in decimal notation.
4,580,000

14. Write in PROPER scientific notation
Write in PROPER scientific notation. (Notice the number is not between 1 and 10) 8) x 109
2.346 x 1011
9) x 104
6.42 x 10 2

15. Write 531.42 x 105 in scientific notation.

16. Objective The student will be able to:
Correctly compute numbers in scientific and decimal notation.
Designed by Skip Tyler, Varina High School

17. To multiply numbers: Multiply the base numbers normally
Add the exponents together.
Example: 4.0 x x x 1010

18. To multiply numbers: Multiply the base numbers normally
Add the exponents together.
Example: 4.0 x x x 1010
Answer: 9.2 x 1013

19. To multiply numbers: Multiply the base numbers normally
Add the exponents together.
You try: 3.5 x x x 1012

20. To multiply numbers: Multiply the base numbers normally
Add the exponents together.
You try: 3.5 x x x 1012
Answer: x 1032

21. To multiply numbers: Multiply the base numbers normally
Add the exponents together.
You try: 3.5 x x x 1012
Answer: x 1032
But this is NOT correct scientific notation and so we must change it to x 1033

22. To divide numbers: Divide the base numbers normally
Subtract the exponents.
Example: 7.0 x 103 / 3.5 x 1010

23. To divide numbers: Divide the base numbers normally
Subtract the exponents.
Example: 7.0 x 103 / 3.5 x 1010
Answer: 2.0 x 10-7

24. To divide numbers: Divide the base numbers normally
Subtract the exponents.
You try: x / x 108

25. To divide numbers: Divide the base numbers normally
Subtract the exponents.
You try: 72.6 x / x 108
Answer: x 104

26. Guess how we will add/subtract
That’s right—we need a common exponent, so we manipulate the notation to get one!
Example: 1.00 x x 102
A good rule to follow is to express all numbers in the problem in the highest power of ten.
Convert 1.00 x 102 to 0.10 x 103, then add:
1.00 x 103
x 103
1.10 x 103

27. Add/Subtract Try Two You try now:
Example: (4.56 x 106) + (2.98 x 105) + (3.65 x 104) + (7.21 x 103)

28. Add/Subtract Try Two
You try now:

29. Finish the Worksheet:
If you need help ask, I’ll be walking around the room.

30. Scientific Notation and other Chem Maths
Thursday, 09/1/2016
Scientific Notation and other Chem Maths

31. Do Now: Answer each question below: How many sig figs?
2300_____ x 10^3________
0.003_____ 304,000________
Use scientific/decimal notation:
3.0 x 10^4______ ________
_______ _______
Convert between units:
500 mL = ____L 2423mg = ________kg
km = ________mm

32. Chem-o-loon 2 Teams (Boys v Girls…or…) 1 Balloons per person/ side
30 seconds to solve problems
Select different people to compete
If everyone gets the answer correctly on the winner’s team: two options (steal a balloon or earn one point)
Keep writing on your balloon until you win—then pop it!

33. CHEM Order: Metric Conversions Sig Figs (E) Sig Figs (H)
Scientific Notation
Dimensional Analysis

34. CHEM: Metric Conversion
3000g:_________cg
2500mm:________km
3.4kL:________mL
5274.2sec:________hours

35. Sig Figs (E) DO ALL: 3100:_______ 24.000:_________ .2500:_________
2010:_______
:_______

36. Sig Figs (H) =
735 x 10 =
24.7 – – =
1484 x 2.5 / 53.0 =

37. Scientific Notation (E)
24.7
2.97 x 104
7.25 x 10-11
99.2 x 102

38. Dimensional Analysis:
23.5 pizzas:__________slices
13.25 eggs:___________dozens
25 km:_________miles
16.25yrs:_________days
km/hr:________m/s

39. And the Winner Is…..

40. Complete Exit Ticket:
2.77 x 1011
1.992 x 10-8