1-9 Scientific Notation (p. 43-45)
Indicator N1: Demonstrate an understanding of place value using
powers of 10 and write large numbers in scientific notation
Vocabulary
Scientific Notation(1-9): writing a number shorter
by using powers of tens. There can only be one
number to the left of the decimal
Example : 6,500,000 = 6.5 x 106
Standard
Scientific Notation
Note: The exponent does NOT indicate how
many zeros there are on the number!
Which direction should I move the
decimal point?

Positive Exponents…


Move right!!
Negative Exponents…

Move left!!
1-9 Scientific Notation
Examples
Write in standard form.
1.4 x104
The exponent tells you how many places and which
direction to move the decimal.
14,000
The exponent is a 4, this means that you move
the decimal 4 places to the right.
1.57x10-6
The exponent tells you how many places and which
direction to move the decimal.
0.00000157
The exponent is a -6, this means that you
move the decimal 6 places to the left.
Write in Scientific Notation
34,000,000
3.4 x 107


12 billion

1.2 x1010

move the decimal until you have a number between 1-10
count the number of place values that you move, that #
becomes your exponent for the 10
move the decimal until you have a number between 1-10
count the number of place values that you move, that #
becomes your exponent for the 10
Compare with < > or =
6000 ( ) 6x102
6000 (>) 600
Try this:
Write in standard form
2.3 x 108
230,000,000
Write in scientific notation
5,640,000
5.64 x 106
What does 6 x 100 mean?
Any number raised to the zero power = 1.
100=1 So, 6 x 100 = 6 x 1 = 6
What does 6 x 10-1
Remember, when the exponent is negative, you move
the decimal to the left, instead of the right.
So, 6 x 10-1 = 0.6
Homework

Pg. 44-45 #14-30 even, 36, 37, 38-50 even