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# Scientific Notation Pp

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### Scientific Notation Pp

1. 1. How many sunflowers are in this field?
2. 2. How much water do the people of Chicago use daily? 9,100,000,000 liters
3. 3. What is the mass of the sun? Earth
4. 4. The mass of the sun = <ul><li>2 000 000 000 000 000 000 000 000 000 000 000g </li></ul><ul><li>So how can we write this in a simpler way?? </li></ul>
5. 5. Scientific Notation: <ul><li>is used to make very LARGE or very SMALL numbers easier to handle . </li></ul>
6. 6. <ul><li>RULE 1: </li></ul><ul><li>SN only replaces zeroes! These zeroes represent decimal places! </li></ul><ul><li>EXAMPLE: </li></ul><ul><li>45,000,000,000,000,000 = 4.5 X 10^16 </li></ul><ul><li>(The 16 tells you that there are 16 decimal places after the 4 to the end of the number!) </li></ul>
7. 7. <ul><li>RULE 2: </li></ul><ul><li>There is only one number in front of the decimal. </li></ul><ul><li>Example: </li></ul><ul><li>4 .1349494 x 10 ^ -9 </li></ul><ul><li>Just remember that every number will be less than 10! </li></ul>
8. 8. <ul><li>RULE 3: </li></ul><ul><li>When moving the decimal RIGHT , the exponent will be NEGATIVE ! </li></ul><ul><li>EXAMPLE: </li></ul><ul><li>0.0000432= 4.32 x 10 ^ -5 </li></ul><ul><li>SMALL NUMBERS WILL ALWAYS HAVE A NEGATIVE EXPONENT! </li></ul>
9. 9. <ul><li>Rule 4: </li></ul><ul><li>When moving the decimal LEFT, the exponent will be POSITIVE ! </li></ul><ul><li>EXAMPLE: </li></ul><ul><li>55,000,000,000 = 5.5 X 10 ^10 </li></ul><ul><li>LARGE NUMBERS WILL ALWAYS HAVE A POSITIVE EXPONENT! </li></ul>