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SCIENTIFIC NOTATION

SCIENTIFIC NOTATION. ... a way to express very small or very large numbers. A number written in Scientific Notation has three parts …. A number greater than one but less than ten. A power of ten. A multiplication sign. Standard Form to Scientific Notation:

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SCIENTIFIC NOTATION

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  1. SCIENTIFIC NOTATION ... a way to express very small or very large numbers

  2. A number written in Scientific Notation has three parts… A number greater than one but less than ten A power of ten A multiplication sign

  3. Standard Form to Scientific Notation: • Move the decimal point so that the number is greater than one but less ten . • (2) Count number of decimal places the decimal has "moved" from the original number.  This will be the exponent of the 10. • (3) If the original number was a small number, the exponent is negative; if the original number was a big number, the exponent is positive.

  4. Example: 4,750,000 4.750000 **moved 6 decimal places 4.75 X 106 Move Decimal: Answer: The original number was a big number sothe exponent is positive.

  5. 0.000789 0.000789 **moved 4 decimal places 7.89 X 10-4 Example: Move Decimal: Answer: The original number was smallnumber sothe exponent is negative.

  6. Try the following Problems: 61,500 = 84,960,000= 321 =

  7. 0.000527 = 0.0000004 = 0.004503 = REMEMBER: the first number must be greater than 1,but less than 10. Therefore, the number before the decimal point can be 1, 2, 3, 4, 5, 6, 7, 8, or 9.

  8. Scientific Notation to Standard Form:

  9. Scientific Notation to Standard Form: • Move the decimal point the same number of spaces as the exponent. • Positive exponents = big numbers, so move the decimal point to the RIGHT. • Negative Exponents = small numbers so move the decimal point to LEFT

  10. 5.024 x 103 5.024 x 103 **moved 3 decimal places 5,024 Example: Move Decimal: Answer: Positive Exponent = big number- Therefore, move decimal point to right.

  11. **moved decimal 5 places .00001015 Example: Move Decimal: Answer: Negative Exponent = small number – Therefore, move decimal point left.

  12. Try the following problems 109,000 42,273 0.00942

  13. Try the following problems 109,000 42,273 0.00942

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