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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 - PowerPoint PPT Presentation
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How many sunflowers are in thisfield?
How muchwater do the people of Chicagouse daily?
9,100,000,000 liters
What is the mass
of the sun?
Earth
2 000 000 000 000 000 000 000 000 000 000 000g
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 107
A number between 1 and
10
x 10 to some power
Determine whether or not the given expression in a Scientific Notation
• 2.32 x 107 _________________
• 1 x 10-8 _________________
• 51.4 x 10-2 _________________
• 7.08 x 119 _________________
Scientific Notation
Scientific Notation
Not a Scientific Notation
Not a Scientific Notation
Writing Scientific Notation
Step 1: Place the decimal after the first number
9.1
Step 2: Count the number of places
9.1 x 109
9 100 000 000.
Writing Scientific Notation
Step 1: Place the decimal after the first number
8.32
Step 2: Count the number of places
8.32 x 108
832 000 000.
Writing Scientific Notation
Step 1: Place the decimal after the first number
5.03
Step 2: Count the number of places
5.03 x 10-7
0 000 000 503.
Writing Scientific Notation
Step 1: Place the decimal after the first number
4.2
Step 2: Count the number of places
4.2 x 10-8
0 000 000 042.
Express each set in Scientific Notation
1. 4 230 ___ x 10_2. 312 000 000 ___ x 10_3. 500 000 ___ x 10_4. 0.000 000 123 ___ x 10_5. 0.000 045 ___ x 10_
4.23 3
3.12 8
51.234.5
5
-7
-5
Writing Standard form
Step 1: Move the decimal point 4 places to the right
6 43
Step 2: Put zeros if needed
64 300
6 43 x 104.
. .00
Writing Standard form
Step 1: Move the decimal point 7 places to the right
3 07
Step 2: Put zeros if needed
30 700 000
3 07 x 107.
. .00000
Writing Standard form
Step 1: Move the decimal point 3 places to the left
2 03
Step 2: Put zeros if needed
0.002 03
2 03 x 10-3.
.. 00
Writing Standard form
Step 1: Move the decimal point 7 places to the left
8
Step 2: Put zeros if needed
0.000 000 8
8 x 10-7.
.. 000000
Express each set in Scientific Notation
1. 3 x 103 ____________2. 9.11 x 108 ____________3. 2.01 x 102 ____________4. 4.7 x 10-6 ____________5. 8.21 x 10-5 ____________
3 000
911 000 000201
0.000 004 70.000 082 1
Review: Express each set in Scientific Notation
1. 40 300 ___ x 10_2. 300 100 000 ___ x 10_3. 7 020 000 ___ x 10_4. 0.000 563 ___ x 10_5. 0.000 004 5 ___ x 10_
4.03 4
3.001 8
7.025.634.5
6
-4
-6