Scientific Notation

Bubbles The brilliant colors observed in soap bubbles occur as a result of light reflecting from the inner and outer surfaces of the bubble. The thickness of a soap bubble is about meter. In the Real World Scientific Notation How can you use the powers of 10 to write ? You will see how to solve this problem in Example 1.

Bubbles The brilliant colors observed in soap bubbles occur as a result of light reflecting from the inner and outer surfaces of the bubble. The thickness of a soap bubble is about meter. In the Real World Scientific Notation How can you use the powers of 10 to write ? You will see how to solve this problem in Example 1. One way to write very small or very large numbers is to use scientific notation.

NOTE BOOK Using Scientific Notation Scientific Notation Standard FormProduct FormScientific Notation 325,  100,    10 – 4 A number is written in scientific notation if it has the form c  10 n where 1 ≤ c < 10 and n is an integer.

Writing Numbers in Scientific Notation The thickness of a soap bubble is about meter. Scientific Notation Standard FormProduct FormScientific Notation   10 –6. Move decimal point 6 places to the right. Exponent is –6.

Writing Numbers in Scientific Notation The thickness of a soap bubble is about meter. Scientific Notation Standard FormProduct FormScientific Notation   10 –6 There are about 300,000,000,000 stars in the Andromeda Galaxy. Standard FormProduct FormScientific Notation 3 00,000,000,000 3  100,000,000,000 3  Exponent is Move decimal point 6 places to the right. Exponent is –6. Move decimal point 11 places to the left.

Writing Numbers in Standard Form Scientific Notation Standard FormProduct FormScientific Notation  100,  Exponent is 5. Move decimal point 5 places to the right. 720,000

Writing Numbers in Standard Form Scientific Notation Standard FormProduct FormScientific Notation  100,  Standard FormProduct FormScientific Notation   10 –7. Exponent is 5. Move decimal point 5 places to the right. Exponent is –7. Move decimal point 7 places to the left. 720,000

Writing Numbers in Scientific Notation Scientific Notation…. YOU TRY IT!!! Write in Scientific Notation Writing Numbers in Scientific Notation Write 8,100,000,000 in Scientific Notation

Writing Numbers in Standard Form Scientific Notation…. YOU TRY IT!!! Write 8.71 x in Standard Form Writing Numbers in Standard Form Write 2.83 x in Standard Form

Day 2 Operations using Scientific Notation

Scientific Notation A number is expressed in scientific notation when it is in the form a x 10 n where a is between 1 and 10 and n is an integer

Addition and Subtraction

Addition

Subtraction

Multiplication

Try These

Division

Try These

7) Use a calculator to evaluate (3,600,000,000)(23). On the calculator, the answer is: 8.28 E +10 The answer in scientific notation is 8.28 x The answer in decimal notation is 82,800,000,000