Scientific Notation and Standard Notation 7 th Grade Hawaii Standard 7.1.2 Identify situations that require the use of large numbers and represent them.

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Scientific Notation and Standard Notation 7 th Grade Hawaii Standard 7.1.2 Identify situations that require the use of large numbers and represent them using scientific notation

What is Scientific Notation? Scientific notation, means of expressing very large or very small numbers in a compact form that is easy to use in computations. (Columbia Encyclopedia)

How do we use Scientific Notation? We use it for really big numbers, like the number of galaxies in our universe: 125 billion or 125,000,000,000 or 1.25 x 10 6 or 1.25 x 10 6

We also use it for really small numbers, like the radius of a hydrogen atomWe also use it for really small numbers, like the radius of a hydrogen atom.000000000025 or 2.5 x 10 -11

Definitions Scientific Notation: a number between 1 and 10 multiplied by a power of ten (1 million = 1.0 x 10 6 ) Standard Notation: the way we normally express numbers (1 million = 1,000,000)

To Move From Standard to Scientific Notation *Small Numbers have a negative exponent *Big Numbers have a positive exponent 1.Move the decimal to make it a number between 1 and 10 2.Multiply that number by 10 with an exponent 3.The exponent is the number of places you moved the decimal.

To Move from Scientific Notation to Standard 1.Move the decimal the number of places of the exponent…Negative exponent is a really small number (move left); Positive exponent is a big number (move right). 2.Add zeros when needed to fill in decimal moves

Examples Go to www.mathhomeworkhotline.com and click on topics. Watch the Scientific Notation demonstration… www.mathhomeworkhotline.com

References Columbia Encyclopedia Definition of Scientific Notation. Downloaded from the Internet 10/11/2010 from http://www.referencecenter.com/ref/refere nce/scinot/scientific_notation?invocationTy pe=ar1clk&flv=1 http://www.referencecenter.com/ref/refere nce/scinot/scientific_notation?invocationTy pe=ar1clk&flv=1 http://www.referencecenter.com/ref/refere nce/scinot/scientific_notation?invocationTy pe=ar1clk&flv=1 Wikipedia definition of Scientific Notation. Downloaded from the Internet 10/11/2010

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