Scientific Notation Written by: James Wiens Newton, Kansas 3.71 x 10 4 = 37,100.
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Transcript of Scientific Notation Written by: James Wiens Newton, Kansas 3.71 x 10 4 = 37,100.
Scientific Notation
Written by: James Wiens
Newton, Kansas
3.71 x 104 = 37,100
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.
• 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.
Instructor Notes
Lesson Outline
I. Warm-up: Exponents / moving decimal
II. Setting the Stage: Video lesson
III. Definitions / Key Concepts
IV. Guided practice: Turning Point Questions
V. Independent practice: Paper & pencil
VI. Closure: Write about scientific notation
Write each power of ten in standard notation.
0%
100%
0%
103
a) 30
b) 100
c) 1000
Write each power of ten in standard notation.
33% 33%33%
106
a) 60
b) 1000000
c) 10000
Write each power of ten in standard notation.
33% 33%33%
10-2
a) .01
b) -20
c) 100
Write each power of ten in standard notation.
33% 33%33%
10-4
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 103
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. .000285
B. 285
C. 28500
D. 2850
What is 3.085 x 107 written in standard form
A. .0000003085
B. 30,850,000
C. 3085
D. 308,500,000
What is 1.55 x 10-3 written in standard form
A. .00155
B. 155
C. 1550
D. .000155
What is 2.7005 x 10-2 written in standard form
A. 270.05
B. 27005
C. .27005
D. .027005
Independent PracticeWrite 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
B. 6,210
C. 316,000
D. 271,000,000
E. .000544
F. .000000354
G. .000432
H. .0000078
I. .78
J. 2.77 x 105
K. 5.23 x 108
L. 3.45 x 108
M. 6.54 x 105
N. 3.7 x 10-2
P. 7.67 x 10-5
Q. 4.5 x 10-4
R. 2.32 x 10-6
S. 9.004 x 10-2
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 12-14) 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.