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3.71 x 10 4 = 37,100. Scientific Notation. Written by: James Wiens Newton, Kansas. Instructor Notes. Subject Area(s): Math Grade level: 7 th grade Lesson Length: 50 minute class period Synopsis: Use scientific notation to write very large and very small numbers.

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scientific notation

3.71 x 104 = 37,100

Scientific Notation

Written by: James Wiens

Newton, Kansas

instructor notes
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 notationback into standard form.
instructor notes1
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
Lesson Outline
  • Warm-up: Exponents / moving decimal
  • Setting the Stage: Video lesson
  • Definitions / Key Concepts
  • Guided practice: Turning Point Questions
  • Independent practice: Paper & pencil
  • Closure: Write about scientific notation
write each power of ten in standard notation1
Write each power of ten in standard notation.

60

1000000

10000

:00

Answer Now

106

write each power of ten in standard notation3
Write each power of ten in standard notation.

-.0004

.0004

10000

:00

Answer Now

10-4

answer
Answer

3.25 x 103

video clip lesson from teacher tube
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
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
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
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 3 085 x 10 7 written in standard form
What is 3.085 x 107 written in standard form

.0000003085

30,850,000

3085

308,500,000

:10

Answer Now

what is 1 55 x 10 3 written in standard form
What is 1.55 x 10-3 written in standard form

.00155

155

1550

.000155

:10

Answer Now

what is 2 7005 x 10 2 written in standard form
What is 2.7005 x 10-2 written in standard form

270.05

27005

.27005

.027005

:10

Answer Now

closure summary
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
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.