Transcript Aim: Read and Interpret Graphs

 Warm–Up
Activity
Scientific Notation: ways to write very
large and small numbers.
I. Standard form to scientific notation
S1 move the decimal point to the left to
make a number greater than/equal to 1
and less than 10
28,500,000
2.85
7 jumps left
S2 multiply the number by 10 raised to a
power. The exponent is equal to the number
of places the decimal point has been moved
28,500,000
107
S3 write the number as the product of the
decimal land the power of 10
28,500,000 = 2.85 X 107
II.Scientific notation to standard form
S1
Reverse the steps
2.85 X 107 = 28,500,000
S2 move the decimal point the same number
of places to the right as the number in
the exponent
2850
0000 0
28,500,000
III.Very small numbers
S1 move the decimal point to the right to
make a number greater than/equal to 1
and less than 10
-3
=
6.3
X
10
0.0063
3 jumps right
S2 the decimal point moved 3 places to the
right, so the exponent is -3.
IV. To compare numbers written in
scientific notation
S1 Look at the exponents. The greater
the exponent, the larger the number.
S2 If the exponents are the same,
compare the decimal numbers.
Which is the greatest of these numbers?
A
1.7 X 106
B
3.8 X 105
C
1.42 X 106
D
7.93 X 104
Which is 52,900 written in scientific notation?
A
52.9 X 103
B
5.29 X 103
C
5.29 X 104
D
5.29 X 10-4
The surface area of Seneca Lake is about
4.3 X 104 acres. What is this number
written in standard form?
A 4,300
B 43,000
C 430,000
D 4,300,000
A storage tank holds about 3,500,000 gallons
of water. What is this number expressed in
scientific notation?
A
3.5 X 104
B
3.5 X 105
C
3.5 X 106
D
3.5 X 107
What is 0.0009 written in scientific notation?
A
0.9 X 10-3
B
0.9 X 10-4
C
9.0 X 10-3
D
9.0 X 10-4
Light that has a wavelength of 6.5 X 10-5
centimeters appears as red in color. What is
this number written in standard form?
A
0.00065
B
0.000065
C
0.0000065
D
0.00000065
The table shows the lengths of 4 germs
measured by a scientist
Germ
A
B
C
D
Length (cm)
7.03 x 10-4
1.77 x 10-3
8.0 x 10-4
3.2 x 10-3
Which is the longest of the 4 germs?
A Germ A
B Germ B
C
Germ C
D Germ D
The diameter of Saturn is approximately
1.19 X 105 kilometer.
Part A what is this number written in
standard form?
Part B Explain how you found your
answer
A biology student measured the diameter
of an amoeba to be 0.015 millimeters.
Part A what is this number written in
scientific notation?
Part B Explain how you found your
answer
The table shows the amount of data
contained in five computer files.
File
A
B
C
D
E
Size (bytes)
6.8 x 105
6.35 x 105
2.07 x 107
8.39 x 104
5.62 x 106
Part A List the computer files in order
from largest to smallest
Part B Explain how you found your
answer
Part C A sixth file has 1.05 X 108 bytes
of data. How does its size compare to
the five files in the table?