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Scientific Notation

Scientific Notation. Ch. 3. Scientific Notation. We use scientific notation because we deal with very large and very small numbers. Scientific notation is written as a product of 2 numbers. The first is a coefficient, and the second is 10 raised to a power called an exponent.

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Scientific Notation

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  1. Scientific Notation Ch. 3

  2. Scientific Notation • We use scientific notation because we deal with very large and very small numbers. • Scientific notation is written as a product of 2 numbers. The first is a coefficient, and the second is 10 raised to a power called an exponent. Coefficient is always a number greater than 1 and less than 10. The exponent equals the number of places the original decimal point has been moved to write in scientific notation.

  3. Scientific Notation • When moving the decimal to the left, the exponent is positive Ex. 1 36,000 is written as 3.6 X 104 • When moving the decimal to the right, the exponent is negative Ex. 20.0081 is written as 8.1 X 10-3

  4. Multiplying using scientific notation • To multiply, simply multiply the coefficients and add the exponents Ex. (3.0 X 104) x (2.0 X 102) (3.0 x 2.0) X 10 4+2 6.0 X 106

  5. Dividing using scientific notation • To divide, simply divide the coefficients and subtract the exponents. • Ex. (3.0 X 104) / (2.0 X 102) (3.0 / 2.0) X 10 4-2 1.5 X 102

  6. Addition or subtraction using scientific notation • To add or subtract, the exponents must be made to be the same. This is like lining up the decimal when we add or subtract. Ex. (5.40 X 103) + (6.0 X 102) First, make the exponent the same (5.40 X 103) + (.60 X 103) Now just add or subtract the coefficients (5.4 + .60) X 103 = 6.0 X 103

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