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How many sunflowers are in this
field?
How much
water do
the people
of Chicago
use daily?
9,100,000,000 liters
2 000 000 000 000 000 000 000 000
000 000 000g
What is
the mass
of the
sun?
Earth
9,100,000,000 liters
2 000 000 000 000 000 000 000 000 000 000 000g
So how can we write this
in simpler way??
Scientific Notation:
• Scientific notation is
used to express very
large or very small
numbers.
Parts of Scientific Notation
2.32 x
A number
between 1 and 10
7
10
x 10 to some
power
Determine whether or not the given expression
in a Scientific Notation
• 2.32 x
Scientific
Notation
-8
_________________
• 1 x 10
Not a Scientific Notation
-2
_________________
• 51.4 x 10
Not
a Scientific Notation
9
_________________
• 7.08 x 11
7
10
_________________
Scientific
Notation
Writing Scientific Notation
9 100 000 000.
Step 1: Place the decimal after the
first number
9.1
Step 2: Count the number of places
9.1 x 109
Writing Scientific Notation
832 000 000.
Step 1: Place the decimal after the
first number
8.32
Step 2: Count the number of places
8.32 x 108
Writing Scientific Notation
0.000 000 503
Step 1: Place the decimal after the
first number
5.03
Step 2: Count the number of places
5.03 x 10-7
Writing Scientific Notation
0.000 000 042
Step 1: Place the decimal after the
first number
4.2
Step 2: Count the number of places
4.2 x 10-8
Express each set in Scientific Notation
1.
2.
3.
4.
5.
4.23
4 230
___ x 10_
8
3.12
312 000 000
___ x 10_
5
5
500 000
___ x 10_
-7
0.000 000 123 1.23
___ x 10_
-5
4.5
0.000 045
___ x 10_
3
Writing Standard form
6.43 x 104
Step 1: Move the decimal point 4
places to the right
6.43 0 0.
Step 2: Put zeros if needed
64 300
Writing Standard form
3.07 x 107
Step 1: Move the decimal point 7
places to the right
3.07 0 0 000.
Step 2: Put zeros if needed
30 700 000
Writing Standard form
2.03 x 10-3
Step 1: Move the decimal point 3
places to the left
.0 02.03
Step 2: Put zeros if needed
0.002 03
Writing Standard form
8. x 10-7
Step 1: Move the decimal point 7
places to the left
.0 0 0 0 0 0 8.
Step 2: Put zeros if needed
0.000 000 8
Express each set in Scientific Notation
1.
2.
3.
4.
5.
103
3x
9.11 x 108
2.01 x 102
4.7 x 10-6
8.21 x 10-5
3
000
____________
911 000 000
____________
201
____________
0.000 004 7
____________
0.000 082 1
____________
Review: Express each set in Scientific
Notation
1.
2.
3.
4.
5.
40 300
300 100 000
7 020 000
0.000 563
0.000 004 5
4.03
___ x 10_
8
3.001
___ x 10_
6
7.02
___ x 10_
-4
5.63
___ x 10_
-6
4.5
___ x 10_
4