Scientific Notation

1
Scientific Notation
2
Scientific notation is a method used to write
very large or small numbers. To write a number in
scientific notation, write it as a product of a
number between 1 and 10 and a power of 10.
3
To write a number into scientific notation

• Reading from left to right, place a decimal point
  after the first non-zero digit.
• Place a caret () at the position of the original
  decimal point.
• Count the number of places from the decimal point
  to the caret. This is the exponent. If you count
  to the right it is positive, left is negative.

4
4
Write 0.0000587 in scientific notation.
5
Write each number in scientific notation.

• 93,000,000
• 321,500,000
• 0.0000258
• 0.00000014

6
To change a number in scientific notation to
decimal or standard form

• Multiply the decimal part by the positive power
  of 10 by moving the decimal point to the right
  the same number of places as the exponent. Add
  zeros if necessary.
• Multiply the decimal part by the negative power
  of 10 by moving the decimal point to the left the
  same number of places as the exponent. Add zeros
  if necessary.

7
Write the number in decimal form.