SCIENTIFIC NOTATION
LESSON 19
SCIENTIFIC NOTATION
Scientific notation is used to express very large
or very small numbers.
A number in scientific notation is written as the
product of a number (integer or decimal) and a
power of 10.
The number has one digit to the left of the
decimal point.
The power of ten indicates how many places the
decimal point was moved.
.
EXAMPLES
5 500 000
= 5.5 x 106
We moved the decimal 6
places to the left.
A number between 1 and 10
EXAMPLE #2
0.0075
= 7.5 x 10-3
Numbers less than 1
will have a negative
exponent.
We moved the decimal 3
places to the right.
A number between 1 and 10
EXAMPLE #3
CHANGE SCIENTIFIC NOTATION TO
STANDARD FORM
2.35 x 108
= 2.35 x 100 000 000
= 235 000 000
Standard form
Move the decimal 8 places to the right
EXAMPLE #4
9 x 10-5
= 9 x 0.000 01
= 0.000 09
Standard form
Move the decimal 5 places to the left
TRY THESE
Express in scientific notation
1) 421.96
2) 0.0421
3) 0.000 56
4) 467 000 000
TRY THESE
Change to Standard Form
1) 4.21 x 105
2) 0.06 x 103
3) 5.73 x 10-4
4) 4.321 x 10-5
CLASSWORK
Scientific Notation worksheet Lesson 19