L.O. By the end of this lesson students will be able to calculate different problems with scientific notation.

Do Now:

Go to blog

Scienceisfunlife.wordpress.com

1. Under 8^th. Earth science regents
2. Click Lessons/PPT
3. Then Click Unit 1: Observation & measurements
4. Click the video: Power of 10
5. Write down 5 major facts while watching the video

​

Scientific Notation

• Is used to express very large or very small numbers

​

Scientific notation is a short hand way to write numbers (it uses exponents)

Large numbers have positive powers of 10

​

Example: 9,600,000 = 9.6 x 10⁶

Small numbers have negative powers of 10

​

Example:

.00049 = 4.9 x 10 ^-4

Converting to Scientific Notation

Step 1 - Position the decimal point to get a single digit number

​

Step 2 - Count the number of places the decimal point was moved to get that single digit number

​

Step 3 - Write the number as a product of a number between 1 and 9 and a power of 10

1000 = 1.0 x 10³

Examples -

Estimated age of the Earth is 4,600,000,000

years.

​

What is this number in scientific notation?

​

4.6 x 10⁹ years

Examples -

Estimated diameter of an atom is 0.00000003 cm

​

What is this number in scientific notation?

​

3.0 x 10 ^-8 cm