Ms' Parkers Math Class

1
Scientific Notation

• Ms. Parkers Math Class
• Joshua Estes,Marc Plotkin,Drew Grimm,Cameron
  Miller

2
Vocabulary

• Scientific notationis of the form cx10to the
  power of N,where one is less than or equal to c
  less than 10 and is an integer

3
Example Uno

• 2.23x10 to the 4th power22,300
• Move decimal point right four places
• 8.5x10 to the negative 3rd power
• Equals 0.008585 move decimal point left 3 places

4
Example Dos

• A real number X expressed in scientific notation
  has the format
• X a 10k, where 1 a lt 10 and k is an
  integer
• Example 1,201,000,000,000 1.201 1012
  0.00000000000035 3.5 10-13-1345.89
  -1.34589 10-3

5
Example Tres

• To convert a real number from standard notation
  to scientific notation (a 10k), the following
  procedure is useful
• (1) If the real number is not already in decimal
  form, convert it to a decimal number,
  terminating, repeating or otherwise. Note the
  location of the decimal point. (2) Determine the
  first nonzero digit in the number. Place a marker
  immediately after this digit.(3) Starting at the
  marker, count the number of places to the decimal
  point. If the movement is to the right, the count
  is considered to be positive if the movement is
  to the left, the count is considered negative. If
  no movement is need, the count is zero.(4) The
  marker indicates the location of the decimal
  point in the factor a. The count represents the
  exponent k to be used as the power of 10.