Scientific Notation Review

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Presentation transcript:

Scientific Notation Review

Scientific Notation Review The mass of the Earth is 5,980,000,000,000,000,000,000,000 kg The mass of an alpha particle is 0.000,000,000,000,000,000,000,000,006,645 kg This is why scientific notation was developed.

Scientific Notation Review Has to have a decimal and a power of ten To be CORRECT, it has to be bigger than 1, and smaller than 10. Ex. 234,000,000 => 2.34x108 Ex. 0.00485 => 4.85x10-3

Scientific Notation Review To multiply: the exponents can simply be added together Ex. Multiply 6.7 x 105 times 3.4 x 102 6.7 * 3.4 = 22.78 5 + 2 = 7 Answer: 22.78 x 107 Answer: 2.278 x 108

Scientific Notation Review To divide: the exponents can simply be subtracted Ex. divide 6.7 x 105 by 3.4 x 102 6.7 / 3.4 = 1.97 5 - 2 = 3 Answer: 1.97 x 103

Scientific Notation Review Exponentials: multiply the exponents Ex. (2.4 x 104)3 (2.4)3 x 10(4x3) 13.824 x 1012 Answer: 1.4 x 1013

Scientific Notation Review Square Root: write the number with an even power of 10, then divide by 2 Ex. √6.7062 x 105 6.7062 x 105 = 67.062 x104 √67.062 = 8.189 4 / 2 = 2 Answer: 8.189 x 102