Scient Notation
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Transcript of Scient Notation
Alg 1 3-15-10
1.Get a calc and your keypad.2.Sit next to your assigned partner.3.Open up binders ready to take notes – binder
check.4.Formative Test this week – WED & FRI. – this is
the last one.5.EOC TEST 5/4/10!!!!!!!!!!!!!!!!!!!
Learn to express large and small numbers in scientific notation.
23,345,345,678,554,561
0.00000000213
Write 28750.9 in scientific notation.
1. 2.87509 x 10-5
2. 2.87509 x 10-4
3. 2.87509 x 104
4. 2.87509 x 105
How wide is our universe?
210,000,000,000,000,000,000,000 miles(22 zeros)
This number is written in decimal notation. When numbers get this large, it is easier to write them in
scientific notation.
Scientific Notation
A number is expressed in scientific notation when it is in the form
a x 10n
where a is between 1 and 10and n is an integer
Write the width of the universe in scientific notation.
210,000,000,000,000,000,000,000 milesWhere is the decimal point now?
After the last zero.Where would you put the decimal to make
this number be between 1 and 10?Between the 2 and the 1
2.10,000,000,000,000,000,000,000.
How many decimal places did you move the decimal?
23When the original number is more than 1,
the exponent is positive.The answer in scientific notation is
2.1 x 1023
The nearest star to Earth (besides our sun) is Alpha Centauri.
It takes light 4.5 years to travel from Alpha Centauri
to Earth.
How many miles is it from Earth to Alpha Centauri?
4.5 x 5,865,696,000,000
26,395,632,000,000
2.6395632 x 1013
The fastest spacecraft ever built by man travels at
150,000 mph.
How long would it take to get to Alpha Centauri?
26,395,632,000,000 /150,000
Write 531.42 x 105 in scientific notation.
1. .53142 x 102
2. 5.3142 x 103
3. 53.142 x 104
4. 531.42 x 105
5. 53.142 x 106
6. 5.3142 x 107
7. .53142 x 108
More Practice Problems
1) 734,000,000 = ______ x 108
2) 870,000,000,000 = ______x 1011
3) 90,000,000,000 = _____ x 1010
On these, decide where the decimal will be moved.
7.34 x 108
8.7 x 1011
9 x 1010
Complete Practice Problems
1) 50,0002) 7,200,0003) 802,000,000,000
Write in scientific notation.
5 x 104
7.2 x 106
8.02 x 1011
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02The decimal was moved how many places?
8When the original number is less than 1, the
exponent is negative.9.02 x 10-8
2) Express 1.8 x 10-4 in decimal notation.0.00018
3) Express 4.58 x 106 in decimal notation.4,580,000
On the graphing calculator, scientific notation is done with the button.
4.58 x 106 is typed 4.58 6
4) Use a calculator to evaluate: 4.5 x 10-5
1.6 x 10-2
Type 4.5 -5 1.6 -2
You must include parentheses if you don’t use those buttons!!
(4.5 x 10 -5) (1.6 x 10 -2)
0.0028125Write in scientific notation.
2.8125 x 10-3
5) Use a calculator to evaluate: 7.2 x 10-9
1.2 x 102
On the calculator, the answer is:6.E -11
The answer in scientific notation is 6 x 10 -11
The answer in decimal notation is 0.00000000006
6) Use a calculator to evaluate (0.0042)(330,000).
On the calculator, the answer is1386.
The answer in decimal notation is 1386
The answer in scientific notation is 1.386 x 103
7) Use a calculator to evaluate (3,600,000,000)(23).
On the calculator, the answer is:8.28 E +10
The answer in scientific notation is 8.28 x 10 10
The answer in decimal notation is 82,800,000,000
Write (2.8 x 103)(5.1 x 10-7) in scientific notation.
1. 14.28 x 10-4
2. 1.428 x 10-3
3. 14.28 x 1010
4. 1.428 x 1011
Write in PROPER scientific notation.(Notice the number is not between 1 and 10)
8) 234.6 x 109
2.346 x 1011
9) 0.0642 x 104
on calculator: 6426.42 x 10 2
Practice Problem
1) 98,500,000 = 9.85 x 10?
2) 64,100,000,000 = 6.41 x 10?
3) 279,000,000 = 2.79 x 10?
4) 4,200,000 = 4.2 x 10?
Write in scientific notation. Decide the power of ten.
9.85 x 107
6.41 x 1010
2.79 x 108
4.2 x 106
Scientific Notation to Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
340,000 in standard form
3.40000 --- move the decimal