Scientific notation

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Do Now 12/16/09
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Text p. 202, #16-50 evens, 56 & 58
Practice worksheet 4.6 B evens
Punchline worksheet #64
Text p. 207, #14-34 evens, #40-50 evens
In your notebook, write the number one billion
and one million as a number. Then multiply the
two of them together. What is your answer?
Homework
Text p. 202, #16–50 evens, #56 & #58
1
136
18) 1
89
16)
20)
22)
24)
26)
28)
30)
32)
x
6
g5
10
8c
or
4
5
4 x 3 y
46)
157
34)
1
1010
48)
5
b9
36)
2
s2
50)
11g 6
28
a4
56)
a3
b3
58)
m6
n5
38)
5 2
1
33
25 1
40)
10
11
42)
undefined
44)
1
48
Homework
Practice worksheet 4.6 Form B evens
2)
4)
6)
8)
10)
12)
14)
1
14 3
1
185
24
d
18)
45h 8
20)
1
108
22)
33 or 27 1
24)
15u
17
26)
14r 11
32  7 1 or 631
5
6y z
22
4
1
16) 1211
10 6
28)
y7
w8
30)
0.001
Homework
Punchline worksheet #64
“WHAT DID PEOPLE SAY WHEN WALTER
GEARLOOSE TRIED TO DRAG HIS SHEEP
ACROSS A FROZEN POND?”
WALT IS PULLING THE WOOL OVER OUR ICE
Objective
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SWBAT use scientific notation to
represent very large or very small
numbers.
Section 4.7, “Scientific Notation”
Scientific notation is a form to
write very large or very small
numbers.
Did you know that the population of the world is about 5,600,000,000?
Instead of writing this number with so many zeros, you can use the following
form:
5,600,000,000  5.6 1,000,000,000  5.6 109
The Powers of Ten
A number is written in scientific notation
if it has the form:
n
c  10
where c is greater than or equal to 1 but less than 10.
Standard form
Product form
Scientific notation
3400  3.4 1000  3.4 10
3
**HINT: How many spots has the decimal point moved?
0.00032  3.2  0.0001  3.2 10
4
Write the number in scientific notation.
1)
2)
4,562,000  4.562 1,000,000  4.562 106
0.008201  8.201 0.001  8.201103
Write the number in standard form.
3)
8.59  105 
8.59 100,000  859,000
4)
5.99 10 4 
5.99  0.0001  0.000599
Multiplying with Scientific Notation
To multiply two numbers that are written in scientific notation,
you can use the rule for multiplying powers with like bases.
Find the product of
(3.2 10 )
5
and
(4 10 )
6
(3.2 10 )  (4 10 )
5
6
(3.2  4 10 10 )
11
(12.8)  (10 )
5
6
1.28  10
12
Write the product
Reorder
Multiply
Write in scientific
notation
Evaluate the product.
Find the product of
1
(0.3 10 ) and (0.6 10 )
4
4
1
(0.3 10 )  (0.6 10 ) Write the product
4
1
(0.3  0.6 10 10 )
5
(0.18)  (10 )
1.8  10
6
0.0000018
Reorder
Multiply
Write in scientific
notation
Standard form
Homework
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Text p. 207, #14-34 evens, #40-50 evens
Do Now 1/8/09
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Copy HW in your planner.
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Text p. 207, #14-34 evens, #40-50 evens
In your notebook, write the following
expressions using only positive exponents.
3 3  3
2
3 3
4
6
6
8
1
 2
3
4 4
2
4
5
3
8 8
7
8
3
4
6
2
1
 2
6
2
6
2
14 x y
 11 2
9 8
3x y
21x y
Homework
Brain Game Text p. 198
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The ones digit for the first four powers of 3
are (in order) 3, 9, 7, 1, and these digits
repeat in this same order for succeeding
powers of 3;
100
The ones digit is 1 for 3
.
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