1. Get Homework out FIRST! Then, begin warm-up.
Name:________________________________________________________________________________Date:_____/_____/__________
Brain blitz/ warm-up
Get Homework out FIRST! Then, begin warm-up.
Fill-in-the-table:
Standard Form
Scientific Notation
1) ,000,000,000
2) 6,050,000 3)
5.6 x 106 4)
4.02 x 104
5) Order the following from least to great:
8.02 x 102
3.9 x 105
9.1 x 105
2.05 x 106
Answer:

2. Scientific Notation with
Today’s lesson . . .
What:
Scientific Notation with
Negative exponents
Why:
To convert between numbers written in scientific notation (w/ negative exponents) and numbers written in standard form.

3. What does it mean when the
Who remembers what it is?
We use scientific notation to write very ___________________ or very __________________ numbers.
Scientific notation is a # written as a
____________________________________ sentence.
The leading factor MUST be a number greater than or equal to 1, but less than _____________.
The second factor must be a _________________ of 10.
LARGE
small
multiplication
ten (10)
power
Example: 2.5 x 10-5
What does it mean when the
exponent is negative?

4. It means that the # will be SUPER SMALL– a DECIMAL!!
From scientific notation . . .
Guided practice: #
Scientific
Notation
Standard
Form 1.
2.8 x 2.
4.05 x
We need 3 zeros in FRONT!
Count digits to the LEFT of decimal point! How many
extra zeros do we need?
We need 6 zeros in FRONT!

5. # Scientific Notation Standard Form 3. 9 x 10 -6 4. 7.02 x 10 -5
On YOUR OWN: #
Scientific
Notation
Standard
Form 3.
9 x 4.
7.02 x

6. As soon as you see a DECIMAL number, think NEGATIVE EXPONENT!!!!
From standard form
As soon as you see a DECIMAL number, think NEGATIVE EXPONENT!!!!
We still need to move decimal so that we make a number bigger than 1, but less than 10.
Guided practice: #
Scientific
Notation
Standard
Form 1.
5 jumps!
3.4 x 10-5
Notice the negative
exponent! 2.
1.02 x 10-4
4 jumps! 3.
7 x 10-6
6 jumps!

7. # Scientific Notation Standard Form 4. 0.0000021 5. 0.00405
ON YOUR OWN: #
Scientific
Notation
Standard
Form 4. 5.
2.1 x 10-6
4.05 x 10-3

8. Mixed practice: 2.5 x 108 7.5 x 10-7 2.09 x 10-3 5.723 x 109 36,000
When do we need a positive exponent and when do we need a negative exponent??? #
Scientific Notation
Standard Form 1
250,000,000 2 3 4
5,723,000,000 5
3.6 x 104 6
9.004 x 107 7
5.9 x 10-6 8
7.2 x 10-3
2.5 x 108
7.5 x 10-7
2.09 x 10-3
5.723 x 109
36,000
90,040,000
0.0072

9. IXL HOmework
A.8 - Scientific Notation
A.9 - Compare Numbers Written in Scientific Notation
EARN a Smart Score of 70 & work for at least 10 minutes!
DON’T FORGET TO LOG IN!
(You won’t receive credit for doing your homework if you are not logged in!)
TO LOG IN:
CLICK on the IXL button on the Simpson Home Page (left side)
Username: given to you by your teacher
(Usually your initial of first name, and full last name)
Password: math7
Once you are logged in, you can click on the links above
to get to the skill(s) assigned for homework
OR you can do the following:
CLICK on MATH
CLICK on 7th GRADE
CLICK on the skill(s) assigned for homework
EARN a Smart Score of 70 on the assigned skill(s),
then you are done!
(Spend at least 10 minutes practicing.)

10. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.

11. # Scientific Notation Standard Form
Math-7 NOTES
DATE: ______/_______/_______
What: Scientific Notation with Negative Exponents
Why: To convert between #’s written in scientific notation and #’s written in standard form.
NAME:
What is it?
We use scientific notation to write very ____________________________ or
very _________________________ numbers.
Scientific Notation: a # written as a _____________________________ sentence.
The leading factor MUST be a number greater than or
equal to 1, but less than ________________.
The second factor must be a ________________________ of 10.
Example: 2.5 x 10-5
From scientific notation . . .
Count digits to the LEFT of decimal point! How many extra zeros do we need? Place zeros IN FRONT!
examples: #
Scientific Notation
Standard Form 1.
2.8 x 2.
4.05 x 3.
9 x 4.
7.02 x

12. # Scientific Notation Standard Form
From standard form . . .
We still need to move decimal so that we make a number bigger than 1, but less than 10. Remember to use a NEGATIVE exponent!!
examples: #
Scientific Notation
Standard Form 1. 2. 3. 4. 5.

13. Scientific Notation Standard Form
Mixed practice:
When do we need a positive exponent and when do we need a negative exponent??? #
Scientific Notation
Standard Form 1
250,000,000 2 3 4
5,723,000,000 5
3.6 x 104 6
9.004 x 107 7
5.9 x 10-6 8
7.2 x 10-3

14. “Scientific Notation” “Scientific Notation”
EXIT TICKET
DATE: ______/_______/____________
NAME:__________________________________________________________________________
“Scientific Notation”
Fill in the table:
Standard Form
Scientific Notation
1) ,200,000 2) 3)
8.91 x 107 4)
5.1 x 10-7
5) Order the following from least to greatest:
1.9 x 108
4.4 x 106
9.25 x 103
6.05 x 108
Answer:
EXIT TICKET
DATE: ______/_______/____________
NAME:__________________________________________________________________________
“Scientific Notation”
Fill in the table:
Standard Form
Scientific Notation
1) ,200,000 2) 3)
8.91 x 107 4)
5.1 x 10-7
5) Order the following from least to greatest:
1.9 x 108
4.4 x 106
9.25 x 103
6.05 x 108
Answer:

15. “Scientific Notation”
INDIVIDUAL practice
DATE: ______/_______/____________
NAME:__________________________________________________________________________
“Scientific Notation”
Remember: A really BIG # needs a positive exponent. A # less than one needs a negative exponent!
4.5 x because the decimal pt. does not need to move.

16. Continued . . .
SOL PREP