Transcript Scientific Notation

Scientific Notation
SOL 7.1
To change from scientific
notation to expanded form
• Example of scientific notation:
2.49 x 103
Move the decimal to the right the number
of times indicated by the exponent - add
zeros to fill in empty spaces - drop the
x10 and exponent
Ex: 2.49 x 103 = 2,490
To change from expanded
form to scientific notation
• First, realize that if there is no decimal
in a number, it means that the decimal
is at the end of the number.
• Ex: 3,450 = 3.450.0
• Second, move the decimal to a point
where there is only one whole number
before the decimal.
• Ex: 3,450 = 3.450 (moved three spaces
to the left)
• Third, rewrite the number with the
decimal and add x 10 and the exponent,
where the exponent equals the number
of times you moved the decimal
• Example:
23,400,000,000
Move decimal to allow only one number in
front of it: 2.34 (moved 10 times)
Rewrite (only need to rewrite numbers,
not zeros) and add x 10 and exponent:
2.34 x 1010
Examples
• 786,500,000,000 = 7.865 x 1011
• 54,000 = 5.4 x 104
• 2,000,000 = 2 x 106