Scientific Notation

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Scientific Notation

• Student Expectation
• 8th Grade
• 8.1.1D Express numbers in scientific notation,
  including negative exponents, in appropriate
  problem situations.

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Scientific Notation
A short-hand way of writing large numbers
without writing all of the zeros.
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The Distance From the Sun to the Earth
93,000,000
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Step 1

• Move decimal left
• Leave only one number in front of decimal

93,000,000 9.3000000
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Step 2

• Write number without zeros

93,000,000 9.3
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Step 3

• Count how many places you moved decimal
• Make that your power of ten

7
The power of ten is 7 because the decimal moved
7 places.
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• 93,000,000 --- Standard Form
  
• 9.3 x 107 --- Scientific
  Notation

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Practice Problem
Write in scientific notation. Decide the power
of ten.

1. 98,500,000 9.85 x 10?
2. 64,100,000,000 6.41 x 10?
3. 279,000,000 2.79 x 10?
4. 4,200,000 4.2 x 10?

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More Practice Problems
On these, decide where the decimal will be moved.

1. 734,000,000 ______ x 108
2. 870,000,000,000 ______x 1011
3. 90,000,000,000 _____ x 1010

Answers
3) 9 x 1010

1. 7.34 x 108

2) 8.7 x 1011
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Complete Practice Problems
Write in scientific notation.

1. 50,000
2. 7,200,000
3. 802,000,000,000

Answers
1) 5 x 104
2) 7.2 x 106
3) 8.02 x 1011
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Scientific Notation to Standard Form
Move the decimal to the right

• 3.4 x 105 in scientific notation

• 340,000 in standard form

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Write in Standard Form
Move the decimal to the right.

• 6.27 x 106
• 9.01 x 104

• 6,270,000
• 90,100