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SCIENTIFIC NOTATION. DID YOU KNOW…….. The distance from Earth to the North Star is about 10,000,000,000,000,000,000 meters. The thickness of a soap bubble.

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Presentation on theme: "SCIENTIFIC NOTATION. DID YOU KNOW…….. The distance from Earth to the North Star is about 10,000,000,000,000,000,000 meters. The thickness of a soap bubble."— Presentation transcript:

1 SCIENTIFIC NOTATION

2 DID YOU KNOW…….. The distance from Earth to the North Star is about 10,000,000,000,000,000,000 meters. The thickness of a soap bubble is meter. The United States has 12,916,000 acres reserved for state parks.

3 MATH FOLKS CAME UP WITH A WAY TO DEAL WITH REALLY BIG NUMBERS AND REALLY LITTLE NUMBERS This method is called Scientific Notation. Using scientific notation we can write a number as the product of a power of 10 and a number greater than or equal to 1, but less than 10.

4 THE DISTANCE FROM EARTH TO THE NORTH STAR IS ABOUT 10,000,000,000,000,000,000 METERS. 10,000,000,000,000,000,000 written out is called “standard form”. Using scientific notation, we can write the same number like this:

5 THE THICKNESS OF A SOAP BUBBLE IS ABOUT METER written out is called “standard form”. Using scientific notation, we can write the same number like this:

6 RULES FOR SCIENTIFIC NOTATION To be in proper scientific notation the number must be written with * a number between 1 and 10 * and multiplied by a power of ten 23 X 10 5 is not in proper scientific notation. Why?

7 HERE’S HOW IT WORKS: 137,000,000 can be rewritten as 1.37 X 10 8

8 NOW YOU TRY Using scientific notation, rewrite the following numbers. 347, X ,000, X , X 10 4

9 NOW WORK BACKWARD. CONVERT THESE TO STANDARD FORM: 1.23 X , X ,806,000

10 TRY THESE 4,000 4 X X , X ,123, ,000, X 10 8

11 WHY DOES A NEGATIVE EXPONENT GIVE US A SMALL NUMBER? = 10 x 10 x 10 x 10 = = 10 x 10 x 10 = = 10 x 10 = = = 10 0 Do you see a pattern?

12 NOTICE THE PATTERN = = = = = = = 10 -4

13 HERE’S HOW IT WORKS WHEN YOU HAVE A SMALL NUMBER:.0307 can be rewritten as

14 YOUR TURN Using Scientific Notation, rewrite the following numbers X X X 10 -5

15 MORE EXAMPLES 1) X ) X ) X ) X ) X 10 -4

16 HOMEWORK Page


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