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Understanding Scientific Notation, Study Guides, Projects, Research of Science education

Thiel CollegeScience education

A step-by-step guide on how to write and perform calculations using scientific notation. It includes examples of converting numbers to scientific notation, converting scientific notation to standard notation, and performing calculations in scientific notation.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/12/2022

ameen
ameen 🇺🇸

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scientificnotationalgper6
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January23,2013
scıentıfıc notatıon
~shorthandwayofwritingnumbersusingpowersof10
~weuseitforverylarge#'sandverysmallnumbers
299,792,458meterspersecond(speedoflight)
12,760,000meterswide(sizeoftheEarth)
0.00001276meterswide(sizeofaplantcell)
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scıentıfıc notatıon

~ shorthand way of writing numbers using powers of 10 ~ we use it for very large #'s and very small numbers

299,792,458 meters per second (speed of light)

12,760,000 meters wide (size of the Earth)

0.00001276 meters wide (size of a plant cell)

A: Write each number in scientific notation.

3). 0. Steps:

  1. Find the decimal.
  2. Move the decimal to change your original # to a number between 1 and 10.
  3. Multiply your new number by a power of 10. ~ original # > 1 : positive exponent ~ original # < 1 : negative exponent

B: Write each number in standard notation.

    • positive exponent....# is bigger than
    • negative exponent....# is smaller than
  • 1). 3.21 x 107 2). 5.9 x 105 3). 1.6 x - 4). 2.81 x 103 5). 1.2103 x

C: Computing in Scientific Notation Evaluate. Express your result in scientific notation.

1). (2.2 x 104 )(5.8 x 102 )

2). (1.82 x 101 ) ÷ (1.4 x 103 )

3). (1.5 x 104 )^3

Steps:

1. Multiply/divide numbers

together

2. Combine your powers of 10

by using your exponent rules

3. Make sure your answer is in

scientific notation.