1. UNIT: NUMBER SENSE

2. N.S. 1.1- SCIENTIFIC NOTATION
Per 3, 5- 8/19/13 Per 2, 4, 6- 8/20/13

3. Note-Taking Expectations:
The title/date of each set of notes must be written on your cover sheet and your next available page in your composition book.
You must number each page and write down which page your set of notes appear on your cover sheet.
Each set of notes must be started on a new page.
Headings must be labeled accurately (proper title, date, page number).
You must take notes on every slide UNLESS I tell you otherwise.
You may abbreviate, shorten, and paraphrase.
You must write down each step and example.
If I am going to fast, please calmly let me know and I will give you some more time.
If you see a mistake, please politely raise your hand and inform me.

4. Each heading on my slides should be your subheading
Each heading on my slides should be your subheading. You must underline each subheading.
If independent practice is assigned, it counts as a part of that set of notes and you can start your independent practice underneath your notes if you have space. Otherwise, you will start it on your next available page as a sub-heading.

5. Scientific Notation:
Scientific Notation is a quick way to express very large or very small numbers.
It is most often used in “scientific” calculations where the analysis must be very precise.

6. Goal/Objective: You will need to be able to…
1. Standard form into scientific notation
2. Scientific to standard form.

7. Form: Scientific Notation will look like this: A number × 10y
Coefficient base exponent
BIG NOTE: Coefficient must always be between 1 and 10.

8. Standard Form to Scientific Notation:
Example: 34,500,000,000 Step 1: Identify if starting value is less than or greater than one. greater than 1= positive exponent less than 1= negative exponent

9. Example: 34,500,000,000 Step 2: Identify where your decimal is in the original number. Then move it to get a coefficient between 1 and 10. Step 3: Count how many places we moved the decimal to its new position. ____ places.

10. What is our base going to be?? What is our exponent going to be??

11. Example 2:
Scientific Notation is also used to express very small numbers.

12. Whiteboard CFU (check for understanding)
When expressed in scientific notation, will the following number have a positive or negative exponent?

13. Answer:
NEGATIVE

14. Whiteboard CFU:
When expressed in scientific notation, will the following number have a positive or negative exponent?
42,359

15. Answer:
POSITIVE

16. Whiteboard CFU Express the following in scientific notation:
87,650,000,000

17. Answer:
8.765 x 1010

18. Whiteboard CFU
Express the following in scientific notation:

19. Answer:
6.43 x 10-4

20. Scientific Notation to Standard Form:
Example: 5.78 x 105
Step 1: Re-write the coefficient
5.78
Step 2: Move the decimal to the right if exponent is positive. Move to the left if negative. Add zeros where necessary

21. Check ✔
578,000=
Does our answer match the starting value? 5.78 x 105

22. Whiteboard CFU
To express this number in standard form, do we need to move the decimal to the right or the left?
3.69 X 10-3

23. Answer:
LEFT

24. Whiteboard CFU
To express this number in standard form, do we need to move the decimal to the right or the left?
3.57 X 105

25. Answer:
POSITIVE

26. Whiteboard CFU
Express 4.33 x in standard form.

27. Answer

28. Whiteboard CFU
Express 2.75 x 107 in standard form.

29. Answer:
27,500,000

30. Whiteboard CFU
Which of the following is NOT a correct expression of scientific notation?
a) 1.05 x 107
b) 6.43 x 104
c) 15.5 x 10-3
d) x 10-2

31. Independent Practice NS 1.1
Answer in complete sentences. Do not write the question.
If 325,678 is converted into scientific notation, will the exponent be negative or positive? How do you know?
If is converted into scientific notation, will the exponent be negative or positive? How do you know?
If you are converting into standard form, will you need to move the decimal to the right or to the left? How do you know?
You must write the problem and show work. Box answer
To scientific Notation:
0.033
49,700
53,200
0.333
633,000
0.0572
To standard form:
6.76 X 10-4
4.32 X 107
3.54 X 10-2
7.8 X 105