Name:__________
Period:___________
Date:____________
Page:___________
Problem(s) of the day
What is the value of 10⋅10⋅ 10 ⋅10 ⋅10⋅ 10? ___________________
Write is exponential form ? ____________________________
What is 7.14 ∙ 10 ⋅10⋅ 10 ⋅10 ⋅10⋅ 10?
Write as a product of two factors and a power of 10 ____________________________
Essential Questions?
Why do we use _________________________?
1.________________________________
2.____________________________________
Vocabulary
Scientific Notation is a shorthand way of writing very ___________ or very ______________
numbers using _______________________.
Scientific notation is written as the___________ of a ___________ (1≤ coefficient <10) and a
_________ .
97,700,000,000,000,000,000,000 =
___________
x 1022
Important Notes for writing in scientific notation:
 The _____________ must be greater than or equal to ________ and less
than__ _____.
Writing Very Lange Numbers in Scientific Notation
Numbers greater or equal to 10 have ___________________ ______________________
Examples :
To convert the large numbers to scientific notation:
1.)
Move the Decimal point to ______________ starting from the end
2.)
Stop when you formed a________________ that is greater or equal to
________________ and less than ___________( it should be only one non zero digit in front of the decimal point)
3.) __________how many places you moved the decimal and that will be your power of 10
Example 1) What is 6,000,000,000 in scientific notation
Standard Form
Scientific Notation
6,000,000,000
Coefficient * Power of 10
Example 2 ) What is 1,230,000,000 in scientific notation
Standard Form
Scientific Notation
1,230,000,000
Example 3) There are over 300,000,000,000 stars in the Andromeda Galaxy. Write the number of stars
in scientific notation.
Standard Form
Scientific Notation
Answer: There are _____________________ stars in the Andromeda Galaxy
Writing Very Small Numbers in Scientific Notation
Very small numbers are greater than 0 but less than 1 and have _______________ ______.
Examples :
To convert the Small numbers to scientific notation:
1.) Move the Decimal point to the _______________
2.) Stop when you formed a ____________________ that is greater or = to _____and less than ___
3.) _______________ how many places you moved the decimal and that will be your power of 10
Example 1 ) What is 0.00000015 in scientific notation
Standard Form
Scientific Notation
Example 2) What is 0.00001234 in scientific notation
Standard Form
Scientific Notation
Example 3 ) The thickness of a soap bubble is about 0.000004 meter. What is the thickness
of a soap bubble written in scientific notation?
Answer: Soap bubbles are _____________________ meters thick.
Guided Practices
Write the following numbers in scientific notation.
1.) 396,000,000
2.) 11,020
3.) 0.000316
4.)
5.)
6.) 0.00876
6,310,000
0.114
Write in scientific notation the minutes _________________
Write in scientific notation the seconds ____________________
Name:__________
Period:___________
Date:____________
Page:___________
Write the following numbers in scientific notation.
1. 2,080,000 = ______________________
2. 65,000,000 = _____________________
3. 0.0000713 = _______________________
4. 799,000,000 = ____________________
5. 4,367,000 = ______________________
6. 0.00000664 = ______________________
7. 223,100,000 = _____________________
8. 0.0000078 = _______________________
9. 56,000 = _________________________
10. 0.00000006211 = ___________________
11. 8,900,000 = _______________________
12. 78,000,000,000 = __________________
13. 0.00094 = _________________________
14. 1,204,000 = ________________________
15. 71,000,000 = ______________________
16. 0.00000664 = ______________________
17. 0.000456 = _______________________
18. 0.0000078 = _______________________
19. 0.00000308 = ______________________
20. 0.000000268 = _____________________
21. 0.0000007703 = ____________________
1. The average price of a Super Bowl commercial in 2010 was approximately 3.010 million
U.S dollars. 2011 hit a record $3,500,000 for 30 seconds of ad time.
2.
Fill in the chart below to show the cost for each length of 2011 Super Bowl commercial.
Commercial
length in seconds
30
Cost written in
standard form
$ 3,500,000
Cost written in scientific
notation
$ 3.5 ● 106
60
90
120
150
180
210
3. Pepsi had three 30-second commercials this year, how much money did they spend?
Write your answer in scientific notation.
______________________
4. How much did a 15-second commercial cost this year? (In both standard and scientific
notation)
______________________ ______________________
5. How much did a 10-second commercial cost this year? (In both standard and scientific
notation)
______________________ ______________________
6. During the entire Super Bowl game (maybe 4 hours), about how many minutes do you
think will be filled with commercials?
7.
How much would it cost (in scientific notation) to buy all of that commercial time?
______________________
Name:__________
Period:___________
Date:____________
Page:___________
Rewrite each number as power of 10.
1) 100,000 = ________
2) 100,000,000 = ________
4) Sue lost the 200 meter race by
3) 10,000 = ________
1
of a second.
100
Part A
Write the time by which Sue lost the 200 meter race as an expression with a negative exponent.

5) The brittle star is a type of starfish. A certain species of brittle star has a skeleton that is
covered in microscopic crystals. Scientists have discovered that these crystals act as lenses that
allow the brittle star to sense light.
Part A
The surface of each crystal has an area of
1
square meters. Write this number using
1,000,000,000
a negative exponent.

Answer: _______ square meters
Part B
Approximately 9.98 x 1000 crystals cover the skeleton of a brittle star. Find the total number of
crystals.
Answer:_______crystals