Download 3. Scientific_Notation new tp

Scientific Notation
A short-hand way of writing
large numbers without
writing all of the zeros.
The Distance From the
Sun to the Earth
93,000,000 miles
Step 1
Move decimal left
Leave only one significant number in
front of the decimal
Step 2
Write number without zeros
Step 3
Count how many places you moved decimal
Make that your power of ten
The power of ten is the letter “E” (exponential) for
your calculators.
The power of
ten is 7 because
the decimal
moved 7 places.
93,000,000 Standard Form
9.3 x 107 Scientific Notation
4567 x 10-5 Scientific Notation
.04567 Standard Form
What if it has a decimal?
Move the decimal to the right after the first
significant (not a zero) number.
.000,000,043 --Standard Form
4.3 x 10-8 Scientific Notation
Practice Problems
Write in scientific notation or standard form.
1.) 9.85 x 10-4? =
1) .000,985
2.) 64,100,000,000 =
2) 6.41 x1010
3.) 2.79 x 10-6 =
3) .000,00279
4.) 431,200,000 =
4) 4.31 x 108
5.) .000,0496=
5) 4.96 x 10-5
More Practice Problems
On these, decide where the decimal will be moved.
1) 734,000,000 = ______ x 108
2) .000,000,000,870 = ______x 10-10
3) 90,000,000,000 = _____ x 1010
1) 7.34 x 108
2) 8.70 x 10-10 3) 9.0 x 1010
Complete Practice Problems
Write in scientific notation .
1) 50,000
2) 7,200,000
3) .000,000,802
1) 5.0 x 104 2) 7.2 x 106
3) 8.02 x 10-7
Scientific Notation to
Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
3.40000 --- move the decimal
340,000 in standard form
Write in Standard Form
6.27 x 106
9.01 x 104
4.603 x 108
9.94 x 102
6,270,000
90,100
460,300,000
994
Write in Scientific Notation
3.89 x 10-7
3.872 x 10-6
8.940 x 10-3
4.931 x 10-3
23.8761 x 10-4
.000,000,389
.000,003,872
.00894
.004931
.00238761
Write in Scientific
Notation
1. 7.882 × 10-2
1. 0.07882 =
2. 0.000,00272338 =
2. 2.72338 × 10-6
3. 118000 =
3. 1.18 × 105
4. 87200 =
4. 8.72 × 104
5. 0.000,02786 =
5. 2.786 × 10-5
6. 0.000,000664 =
6. 6.64 × 10-7
7. 450 =
7. 4.5 × 102
8. 74171.7 =
8. 7.41717 × 104
9. 770 =
9. 7.7 × 102
10. 0.000,0085 =
10. 8.5 × 10-6
1. What is this number in
standard form? 6.73 x 10-6
A. 6,730,000
50% 50%
B. 0.00000673
C. 0.0000673
D. 673,000
00
30
67
.0
0
00
67
73
06
00
.0
0
30
67
3
0%
00
0
0%
2. When the exponent is positive
you move the decimal to the:
A. Left
83%
B. Right
C. Top
D. bottom
11%
6%
tto
m
bo
p
To
t
ig
h
R
Le
ft
0%
3. What does your calculator use
to designate as a power of ten for
scientific notation
A. 10
78%
B. P
C. G
D. E
11%
11%
E
G
P
10
0%
4. Why is scientific notation
important when dealing with
astronomy?
...
he
l
It
ts
an
e
Pl
ps
an
d
w
ith
st
..
.
ll.
..
re
a
ar
e
It helps with Inverse
Square Law
7%
0%
ey
D.
13%
to
Planets and stars are
really far away so using
scientific notation
makes it easier to
record the numbers
Th
C.
an
t
They are really big
numbers and they are
lazy
w
B.
80%
ey
They want to
Th
A.
5. Which of these numbers shows
1 million in scientific notation?
A. 1 x 103
B. 1 x
104
C. 1 x
107
56%
44%
D. 1 x 106
6
1
x
10
7
10
1
x
10
x
1
1
x
10
4
0%
3
0%
6. Changer 1204.6 in
scientific notation?
A. 1.2 x 103
79%
B. 120 x 10-2
C. 12 x 102
D. 1204 x 100
14%
7%
10
0
2
x
10
12
04
x
12
x
0
12
1.
2
x
10
10
3
-2
0%
7. Change 17.8 in scientific
notation?
A. 1.78 x 102
B. 1.78 x
72%
101
C. 1.78 x 10-1
D. 1.78 x 10-2
17%
11%
-2
1.
78
x
10
1.
78
x
10
-1
1
10
x
78
1.
1.
78
x
10
2
0%
8. Change 567,310 in
scientific notation?
A. 567 x 103
67%
B. 56.7 x 105
C. 5.67310 x 105
D. 5 x 106
22%
11%
6
10
5
5
31
0
67
5.
x
10
x
x
.7
56
56
7
x
10
10
5
3
0%
9. Convert 8.36 x 102 in
scientific notation?
A. 83600
78%
B. 8360
C. 836
D. 836000
17%
83
60
00
6
0%
83
60
83
83
60
0
6%
10. Convert 9.16 x 106 in
scientific notation?
A. 0.000000916
94%
B. 0.000916
C. 9,160
D. 9,160,000
.0
0
91
60
00
0
60
0%
91
09
16
0%
.0
0
00
00
91
6
6%