scientific-notation-notes-part-2.doc

scientific-notation-notes-part-2.doc - Part 2 How Do we...

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Part 2: How Do we Divide numbers in Scientific Notation? Scientific Notation is based on powers of the base number 10. The number 123,000,000,000 in scientific notation is written as : The first number 1.23 is called the coefficient . It must be greater than or equal to 1 and less than 10. The second number is called the base . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1.23 x 10 11 the number 11 is referred to as the exponent or power of ten. Rules for Division in Scientific Notation: 1) Divide the coefficients 2) Subtract the exponents (base 10 remains) Example 1: (6 x 10 6 ) / (2 x 10 3 ) = 3 x 10 3 What happens if the coefficient is less than 10? Example 2: (2 x 10 7 ) / (8 x 10 3 ) = 0 . 25 x 10 4 While the value is correct it is not correctly written in scientific notation since the coefficient is not between 1 and 10. We must move the decimal point over to the right until the coefficient is between 1 and 10. For each place we move the decimal over the
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  • Spring '16
  • Decimal, Exponentiation, exponent form

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