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- 1. 15,000,000,000 jellybeans are produced each year for the Easter holiday. One individual gold atom is 0.000000006 inches in diameter Is there an alternative way to write these numbers! Scientific Notation - Product of a coefficient and 10 raised to a power. (coefficient usually between 1 and 10) Example : 2000 can be written as the product of 2 x 1000 However 1000 = 10 x 10 x 10 = 10 3 Therefore 2000 = 2 x (10 x 10 x 10) = 2 x 10 3
- 2. 0.002 can be written as the product of 2 x 1/1000 However
- 3. Method for Representing Any Number in Standard Scientific Notation <ul><li>Count the number of decimal places the decimal point would be moved in order to obtain a number between 1 and 10. </li></ul><ul><li>Take the number between 1 and 10 and multiply it by 10 to the power of the number of decimal places determined. </li></ul><ul><li>If the decimal places moved the left, the power of 10 is positive, if the decimal places moved to the right, the power of ten is negative. </li></ul>
- 4. 1 5 0 0 0 0 0 0 0 0 0 10 decimal places to the left 1.5 x 10 10 jellybeans 0.0 0 0 0 0 0 0 0 6 9 decimal places to the right 6.0 x 10 -9 inches
- 5. Convert the following numbers to Scientific Notation 0.00137 15237 59000005 123.025 0.00005025 1.37 x 10 -3 1.5237 x 10 4 5.9000005 x 10 7 1.23025 x 10 2 5.025 x 10 -5
- 6. Multiplication and Division of With Scientific Notation <ul><li>Multiplication – Multiply Coefficients and add Exponents of 10 </li></ul><ul><li>(2.0 x 10 4 ) x (4.0 x 10 2 ) = (2.0 x 4.0) x 10 4+2 = 8 x 10 6 </li></ul><ul><li>Division– Divide Coefficients and subtract Exponents of 10 </li></ul>
- 7. Addition and Subtraction with Scientific Notation <ul><li>Make sure that both numbers have the same power of ten </li></ul><ul><li>Add or subtract the coefficients multiply by the common power of 10 </li></ul><ul><li>Example: </li></ul><ul><li>Adding 2.75 x 10 3 and 7.5 x 10 2 </li></ul>
- 8. General Rule <ul><li>When the coefficient gets smaller, the exponent gets bigger. (c e ) </li></ul><ul><li>When the coefficient gets bigger, the exponent gets smaller. (c e ) </li></ul>
- 9. Homework <ul><li>Scientific Notation Handout </li></ul>

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