5_4 Scientific Notation

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Transcript 5_4 Scientific Notation

1
8
42x2
20x8
2
-10y3
10
4
-y6
11
8
-15b -18g7
5
-x8
7
13
-6x11
14
6a6
32m10
Page 215, 1-24 (skip 3,6,9,etc) and 26-48 (even) and 5-68 (even)
16
20
-x19
17
12x12y9
22
x7y6
15x10
19
8a8b10
23
40m9
Page 215, 1-24 (skip 3,6,9,etc) and 26-48 (even) and 5-68 (even)
a6
-a2
2
5y8
1
5
3k
1
2
2m
a7
3m4
-3m5n3
4x5y2
8
2x y
3
3
8
x
3
4y
p
1
m
8
m 
6
 
12
p
m
14
p
13
QQ
A,C,E,G
B,D,F
1
(5x3)(4x5)
2
(-2x3 y)(-6x4 y7) (-4x4 y2)(-3x2 y6)
3
(3x4)2(2x5)2
(2x6)2(5x4)2
4
3
5
5
45x
2
15x
6 4
2x y
4 7
8x y
(7t5)(4t3)
39 x
2
13x
3 9
3x y
4 3
9x y
7
8
6 8
12x
y
12x yB,D,F
A,C,E,G
2
1 (5x3)(4x5) 20x8 (7t5)(4t3) 28t 8
2
(-2x3 y)(-6x4 y7) (-4x4 y2)(-3x2 y6)
3
(3x4)2(2x5)2
4
5
3
18
36x
(2x6)2(5x4)2
5
100x
45x
39 x
3
3x
3x
2
2
13x
15x
6 4
2
3 9
6
2x y x
3x y y
4 7
3
4 3
8x y 4 y
9 x y 3x
20
Scientific Notation
a shortcut for very large/small numbers
• The distance from earth to the north
star is 10,000,000,000,000,000,000
meters.
• Fewer errors if we write as 1.0 x 1019 ?
Scientific Notation
Write an equivalent expression
using scientific notation:
3,200
3.2  103
Must be at least 1.0 and
no more than 9.9999…
Scientific Notation
Write an equivalent expression
using scientific notation:
139,000
.139  106
Must be at least 1.0 and
no more than 9.9999…
Scientific Notation
Write an equivalent expression
using scientific notation:
0.0307
3.07  10-2
Must be at least 1.0 and
no more than 9.9999…
Change from scientific notation
to standard form:
1.25 x
3
10
1250
Change from scientific notation
to standard form:
7.0 x
5
10
700,000
Change from scientific notation
to standard form:
4.8 x
-3
10
0.0048
Change from scientific notation
to standard form:
1.8 x
-4
10
0.00018
Multiply Using Properties
(3.0 x
5
10 )(4.1
x
12.3 x
2
10
1.23 x
3
10
-3
10 )
Divide Using Properties.
Show your answer in scientific notation
7
2.5  10
6
5.0  10
7
2.5 10
 6
5.0 10
0.5 x
-13
10
5.0 x 10-14
Divide Using Properties.
Show your answer in scientific notation
4.2  10
2
2.1  10
5
2.0 x
3
10
Divide Using Properties.
Show your answer in scientific notation
2.7  10
2
9.0  10
5
0.3 x 107
3.0 x
6
10
Assignment:
Page 219
1 – 23 odd, 25-40 no calculator
41 - 47 and 51 calculator ok