1. SCIENTIFIC NOTATION DAY 1
Learn Vocabulary Terms
Identify Vocabulary terms in problems
Understand why Scientific Notation is used
Identify numbers written in Scientific notation
& be able to explain why or why not

2. SCIENTIFIC NOTATION VOCABULARY
Scientific Notation: A way of expressing very large or very small numbers more easily using a power of 10 EX: 35,700 = 3.57 x 104 Standard Form: The “normal” regular way we write a number EX: 35,700

3. SCIENTIFIC NOTATION VOCABULARY
Finite decimal: every whole number
EX: 5, 78, (any number between 1 & 9)
Leading digit: the leftmost digit : single, NON-ZERO
number to the left of the decimal
EX:
Order of The exponent used to
magnitude: show the power (magnitude of 10)
It basically tells us how many times to move
the decimal left or right.
EX: =

5. HOW DO I KNOW IF IT’S SCIENTIFIC NOTATION?
Must be written as a PRODUCT (X’s)
EX: x 103
2) The LEADING DIGIT must to the left of the decimal and be a WHOLE number between 1 & 9
EX: 3.6 x 103
3) There must be a order of magnitude (power of 10)

6. 7.8 x 106 EXIT TICKET IDENTIFY : Leading digit Order of magnitude
Product sign
7.8 x 106

7. SCIENTIFIC NOTATION DAY 2 & 3
Identifying large vs. small numbers by the placement of the zeros.
Using zero placement to tell us which direction the decimal is moved from the leading digit
Identify if the power of 10 is positive or negative
by the zeros
Know why we use it

8. BE PREPARED TO EXPLAIN/SHARE YOUR CHOICES.
DO NOW
WHICH NUMBER IS THE SMALLER NUMBER &
WHICH NUMBER IS THE LARGER NUMBER?
OR ,000,000
BE PREPARED TO EXPLAIN/SHARE YOUR CHOICES.

9. SCIENTIFIC NOTATION BASICS
Scientific Notation is a way of expressing very large or very small numbers in an easier way.
Large numbers often have MANY zeros at the end.
EX: 450,000,000
Small numbers have the zeros at the beginning.
EX:

10. VERY SMALL OR VERY LARGE
Identify each number as very small or very large:
1) SMALL LARGE
2) 6,000, SMALL LARGE
3) SMALL LARGE

11. USE/THINK ABOUT WHAT YOU ALREADY KNOW…
What do you already know about the placement of these zeros?
What does the direction (left; before OR
right; after) they tell us about the numbers?
HINT: Think about the number line or the
decimal place value chart

12. *ALL of these will help you understand
WE KNOW……
*ALL of these will help you understand
SCIENTIFIC NOTATION!!!

13. DO NOW Please write HW in your planners
With the people at your tables, complete
the review sheet on your desks.

14. REVIEW Vocabulary: Match the term with its definition.
____large numbers A) have zeros at the beginning
____ leading digit B) exponent that shows power of 10
____ order of C) have zeros at the end
magnitude
____ small number D) leftmost digit : single, NON-ZERO
number to the left of the decimal

15. Use the expression below to answer the questions: 7
Use the expression below to answer the questions: 7.98 x 10 6 The 7 is called the _________________ 10 6 is the ______________ The “x” is the _____________ WORD BANK PRODUCT ORDER OF MAGNITUDE leading digit

16. IDENTIFY which is NOT written in scientific notation and give a reason why 06.9 x x x 104

17. Identify each number as very small or very large:
1) SMALL LARGE
2) 9,000, SMALL LARGE
3) SMALL LARGE

18. Writing numbers in Scientific Notation
Identifying large vs. small numbers by the placement of the zeros.
Using zero placement to tell us which direction the decimal is moved from the leading digit
Identify if the power of 10 is positive or negative
by the zeros

19. How to Do it: Writing large numbers in Scientific Notation
To figure out the power of 10, think "how many places do I move the decimal point?“
If the number is 10 or greater, the decimal point has to move to the left, and the power of 10 will be positive; large number 

20. VIDEO

21. EXAMPLE: Write 4,250,000,000 in scientific notation
Move the decimal so that only 1 digit is to the left of the decimal
9 places
4.25 x 109
Count the number of spaces that
the decimal has to be moved to the
RIGHT.
Write the number WITHOUT ending
the zeros, & multiply by the correct
power of 10

22. Let’s PRACTICE Write each number in scientific notation: 68,000
73,280,000

23. How to Do it: Writing Small numbers in Scientific Notation
To figure out the power of 10, think "how many places do I move the decimal point?“
 If the number is smaller than 1, the decimal point has to move to the right, so the power of 10 will be negative; small number

24. VIDEO

25. EXAMPLE: Write 0.0000000425 in scientific notation
Move the decimal so that only 1
NON ZERO digit is to the left of the decimal
8 places
4.25 x 10-8
Count the number of spaces that
the decimal has to be moved to the
LEFT.
Write the number WITHOUT beginning
the zeros, & multiply by the correct
power of 10 AND use a NEGATIVE
exponent to move the decimal to the left.

26. Let’s PRACTICE Write each number in scientific notation: 0.0038

27. Check! After putting the number in Scientific Notation,
just check that:
The "digits" part is between 1 and 10 (it can be 1, but never 10)
The "power" part shows exactly how many places to move the decimal point

28. EXIT TICKET Write the following in scientific notation:
53, _______________
_______________

29. Name:_______________________ Date:_____________________
CLASSWORK M1L9 BASIC SCIENTIFIC NOTATION
NEGATIVE POSITIVE
Write each number in scientific notation:
LEFT RIGHT
ORIGINAL NUMBER
PLACE DECIMAL & MOVE IN CORRECT DIRECTION
FINAL ANSWER
420,000
4.2 x 105
0.002
2 x 10-3
30,000,000
804,000,000
13,060,000,000,000
45,000,000
5,840,000

30. SCIENTIFIC NOTATION DAY 4 & 5
Use knowledge of decimal movement & scientific notation to convert
Convert FROM scientific notation TO
standard form with positive & negative
exponents :

31. HOW TO USE THE CALCULATOROn
Clear
Enter the standard form number
Press blue “2nd “ key
Press “DRG” ( SCI/ENG)
6) Using the right/left arrow keys choose:
“FLO” for standard form
“ SCI” for scientific notation
*if you want to go back to choose another form repeat steps 5 and 6 and then press enter twice

33. SCIENTIFIC NOTATION VOCABULARY
Scientific Notation: A way of expressing very large or very small numbers more easily using a power of 10 EX: 35,700 = 3.57 x 104 Standard Form: The “normal” regular way we write a number EX: 35,700

34. CONVERTING FROM SCIENTIFIC NOTATION TO STANDARD FORM
It’s EASY!!!! ALL you do is work BACKWARDS…

35. SMARTEXCHANGE

36. EXAMPLE: WITH A POSITIVE EXPONENT Write 7.035 X 106 in STANDARD FORM
The exponent is a 6 and it is positive
Study the exponent
Move the decimal point the Correct number of places to the right
Add any necessary zeros at the END of the number as place holders
Write the number in standard form
Move the decimal 6
places to the RIGHT
6 places
7,035,000

38. LETS PRACTICE 5.3 x 104 9.24 x 108 1.205 x 105 SCIENTIFIC NOTATION
DECIMAL MOVEMENT
STANDARD FORM
5.3 x 104
9.24 x 108
1.205 x 105

39. EXAMPLE: WITH A NEGATIVE EXPONENT Write 4.16 x 10-5 In STANDARD FORM
The exponent is a -5 and it is negative
Study the exponent
Move the decimal point the correct number of places to the left
Add any necessary zeros at the BEGINNING to fill up to the decimal point
Write the number in standard form
Move the decimal 5
places to the LEFT
5 places

41. LETS PRACTICE 7.1 x 10-4 5.704 x 10-6 8.65 x 10-2 SCIENTIFIC NOTATION
DECIMAL MOVEMENT
STANDARD FORM
7.1 x 10-4
5.704 x 10-6
8.65 x 10-2

42. EXIT TICKET
Suppose the table below displays data for the Top prime-time television shows for a given week the year. Complete the empty columns in table by converting the number of households into either scientific notation OR standard form.
NAME OF SHOW
NUMBER OF HOUSEHOLDS
STANDARD FORM
SCIENTIFIC NOTATION
The Voice
15,553,000
Duck Dynasty
x 107
The Simpsons
0.0865

43. HOMEWORK
SCIENTIFIC NOTATION PUZZLE