Name: __________________________________ Period: _____ Date: __________
Scientific Notation Day 3 : Comparing Numbers in Scientific Notation
DO NOW: Connor is researching four types of flash drives for his computer. The data are
shown in the table below.
Flash
drive
Bytes of Memory
(in Scientific Notation)
W
3.64 × 108
X
Y
Bytes of Memory
(in Standard Form)
1) Complete the table by
converting between Scientific
Notation and Standard Form.
2) Connor wants to buy the
flash drive with the most
memory. Which one should he
buy?
1,280,000,000
2.56 × 109
Z
512,000,000
OBJECTIVE: at the end of this lesson, I should be able to __________________________
_______________________________________________________________________
DEMO: Put the flash drives in order from the least amount of memory to the greatest.
Write the numbers in Scientific Notation.
______________________________________________________________
Summarize: To put numbers written in Scientific Notation in order...
What do you look at first? ___________________________________
What do you look at second? ______________________________________________
Circle the scientific notation that is bigger?
1) 1 x 10-1 or 2 x 10-1
2) 3.43 x 10-3 or 4.53 x 10-3
3) 6.45 x 10-7 or 6.46 x 10-7
*If the power of 10s are the same, then the scientific notation with the _____________ factor
is the same for both _______________ and ____________________ exponents. *
Order the numbers below from least to greatest.
2.45 x 107,
9.34 x 105,
7.2 x 10-2,
7.1 x 105,
5.43 x 10-4,
2.08 x 107,
7.1 x 10-4
______________________________________________________________
Use < , >, or = to compare the following values:
a) 7.02 x 10-6 ____ 5.2 x 103
b) 8.54 x 10-7 ____ 6.5 x 10-4
c) 6.23 x 10-4 ____ 2.9 x 10-4
Essential Question: What is Scientific Notation used for? ________________________
________________________________________________________________________
Measurements have been given for the items listed below.
With a partner, match each item with its measurement.
Volume of the Atlantic Ocean
Sea Floor Spreading
Distance from the Sun to Pluto
Diameter of an Atom
Light Year
Dust Mite
Distance from the Sun to Neptune
Mile
Height of Mount Everest
Item
Measurement
Red Blood Cell (diameter)
Growth of Mount Everest (per year)
Measurement Arranged
Unit (label)
(small to large)
5.9 × 1012
1.25 × 10-1
7 × 10-3
5.28 × 103
4.5 × 109
2 × 10-2
7.2 × 103
3.5 × 10-7
5.87 × 109
6.1 × 10-2
7.764 × 107
What strategies did you use to match each item with its measurement?
_________________________________________________________________________
Now try to attach the Unit of Measurement for each item. You will be choosing from ...
miles,
mm,
cubic miles,
km,
m,
feet
HOMEWORK: Write each number in Standard Form and Scientific Notation.
1)
4.5 million ___________________________=_______________
2)
8 thousandths ________________________=_______________
3)
25  105 = ___________________________=_______________
4)
76  10-4 = ___________________________=_______________
5)
0.025  109 = _________________________=_______________
6)
0.98 10-3 = __________________________=_______________
7) Which number has the greatest value?
8) Which statement below is true?
a) 3.7 x 109
b)
a) 3.4 x 106 < 6.7 x 10
c) 2.95 x 109
d) 4.73 x 105
6.8 x 105
b) 9.4 x 10-6 > 9.4 x 10-4
c) 8.7 x 10-6 < 5.6 x 102
9) Which symbol would you place between
the two values below:
5.66 x 103 ____ 5.6 x 105
a) <
b) >
c) =
11) Rewrite the numbers from largest to
smallest:
4.7 x 10
2
2.06 x 10
-7
2.06 x 10
10) Which number has the smallest value?
a) 8.9 x 10-7
b) 2.33 x 10-3
c) 2.3 x 10-5
d) 8.9 x 10-2
12) Rewrite from smallest to largest:
5.6 x 10-6
540,000
7.23 x 105
0.000067
2
13) Which number has the greatest value?
a) 760,000,000
b) 7.6 x 108
c) 7.6 x 106
d) 7,600,000,000
14) Which number has the smallest value?
a) 0.000035
b) 5.6 x 10-6
c) 3.5 x 10-4