3.71 x
4
=
10
37,100
Scientific Notation
Written by: James Wiens
Newton, Kansas
Instructor Notes
•
•
•
•
Subject Area(s): Math
Grade level: 7th grade
Lesson Length: 50 minute class period
Synopsis: Use scientific notation to write very
large and very small numbers.
• Objective/goals: Students will change numbers
from standard form into scientific notation and
from scientific notation back into standard form.
Instructor Notes
• Standard: ▲equivalent representations of rational numbers and simple
algebraic expressions, e.g., you are in the mountains. Wilson Mountain
has an altitude of 5.28 x 103 feet. Rush Mountain is 4,300 feet tall. How
much higher is Wilson Mountain than Rush Mountain? (KS standard
7.1.1.A1a)
• Pre-requisite skills: Vocabulary – Standard form, Scientific notation,
exponent, base number.
• TurningPoint functions: standard question slides
• Materials: All instructional points and practice problems are provided
within the power point slides. Practice questions are designed to be used
with the TurningPoint clickers.
Lesson Outline
I.
II.
III.
IV.
Warm-up: Exponents / moving decimal
Setting the Stage: Video lesson
Definitions / Key Concepts
Guided practice:
Turning Point Questions
V. Independent practice: Paper & pencil
VI. Closure: Write about scientific notation
Write each power of ten
in standard notation.
100%
3
10
a) 30
b) 100
c) 1000
00
10
0
0%
10
30
0%
Write each power of ten
in standard notation.
6
10
33%
33%
33%
0
00
10
10
00
60
00
0
a) 60
b) 1000000
c) 10000
Write each power of ten
in standard notation.
-2
10
33%
33%
33%
0
10
-2
0
.0
1
a) .01
b) -20
c) 100
Write each power of ten
in standard notation.
33%
-4
10
33%
33%
0
00
10
04
.0
0
-.0
00
4
a) -.0004
b) .0004
c) 10000
Setting the Stage
• There are
325,000 grains
of sand in a
tub. Write that
number in
scientific
notation.
Answer
3.25 x
3
10
Video Clip Lesson
from Teacher Tube
• Click on the link at
the right to access
a lesson about
scientific notation
from Teacher
Tube.
Click here to see
the lesson
Definition
• Scientific notation- is a compact
way of writing numbers with
absolute values that are very large
or very small.
•
Glencoe McGraw-Hill. Math connects cours 3. pages 130-131
Scientific notation to standard form• Multiplying by a positive power of 10 moves the
decimal place to the right.
• Multiplying by a negative power of 10 moves the
decimal place to the left.
• The number of places the decimal point moves
is the absolute value of the exponent.
•
Glencoe McGraw-Hill. Math connects cours 3. pages 130-131
Standard form to scientific notation• Move the decimal point to the right of the first
nonzero digit.
• Count the number of places you moved the
decimal point.
• Find the power of 10. If the absolute value of the
original number was between 0 and 1, the
exponent is negative. Otherwise, the exponent is
positive.
•
Glencoe McGraw-Hill. Math connects cours 3. pages 130-131
What is 2.85 x 104 written in
standard form
A.
B.
C.
D.
.000285
285
28500
2850
7
10
What is 3.085 x
written in
standard form
A.
B.
C.
D.
.0000003085
30,850,000
3085
308,500,000
-3
10
What is 1.55 x
written in
standard form
A.
B.
C.
D.
.00155
155
1550
.000155
-2
10
What is 2.7005 x
written in
standard form
A.
B.
C.
D.
270.05
27005
.27005
.027005
Independent Practice
Write in standard form:
A. 4.76 x 106
B. 6.21 x 103
C. 3.16 x 105
D. 2.71 x 108
E. 5.44 x 10-6
F. 3.54 x10-7
G. 4.32 x 10-4
H. 7.8 x 10-6
I. 7.8 x 10-1
Write in scientific notation:
J.
277,000
K.
523,000,000
L. 345,000,000
M.
654,000
N.
0.037
P. 0.0000767
Q.
0.00045
R.
0.00000232
S.
0.09004
Answer Key for
Independent Practice
A. 4,760,000
J.
2.77 x 105
B. 6,210
K.
5.23 x 108
C. 316,000
L.
3.45 x 108
D. 271,000,000
M. 6.54 x 105
E. .000544
N.
3.7 x 10-2
F. .000000354
P.
7.67 x 10-5
G. .000432
Q.
4.5 x 10-4
H. .0000078
R.
2.32 x 10-6
I.
S.
9.004 x 10-2
.78
Closure / Summary
• Explain why 32.8 x 104 is not correctly
written in scientific notation.
• What does a negative exponent tell you
about writing the number in standard form.
References
• Video Clip on Slide #11 is a link from the
TeacherTube website which posted the
video created by Studyzone.org
• Key concepts and definitions (slides 1214) taken from Glencoe McGraw-Hill.
Math connects cours 3. pages 130-131
• Remainder of lesson designed and written
by James Wiens, 7th grade math teacher,
Newton Kansas.