Period:______/ Page:______
Scientific Notation Lesson 1 Notes
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
To know -----Numbers greater or equal to 10 have ______
Examples :
To convert the large numbers to scientific notation:
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
To know -----Very small numbers are greater than 0 but less than 1 and have ______.
Examples :
To convert the Small numbers to scientific notation:
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.) 6,310,000 5.) 0.114 6.) 0.00876
Name:______/ Date:______Period:______/ Page:______
Scientific Notation Lesson 7
Class Work
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 / Cost written in standard form / Cost written in scientific notation30 / $ 3,500,000 / $ 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?
______
Scientific Notation Lesson 7
Name:______/ Date:______Period:______/ Page:______
Do Now
Rewrite each number as power of 10.
1) 100,000 = ______2) 100,000,000 = ______3) 10,000 = ______
4) Sue lost the 200 meter race by of a second.
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 square meters. Write this number using 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