Scientific Notation

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Scientific Notation
Making Your Life Easier
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Example Problem

• Calculate the force of the sun on the earth

Decimal Notation (Normal)
My calculator cant even handle this many digits!
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Notes Scientific Notation
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Notes Decimal Notation ? Scientific Notation
Example 658,000
Example 658,000.
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Notes Decimal Notation ? Scientific Notation
Example 6.58,000.
Example 658,000.
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Notes Decimal Notation ? Scientific Notation
Example 658,000
Example 6.58,000.
n 5
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Notes Decimal Notation ? Scientific Notation
Example 658,000
Example 6.58,000.
n 5
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Notes Decimal Notation ? Scientific Notation
Example 658,000 6.58 105
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Notes Scientific Notation ? Decimal Notation
Example 7.04 10-3
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Notes Scientific Notation ? Decimal Notation
Example 7.04 10-3
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Notes Scientific Notation ? Decimal Notation
Example 7.04 10-3
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Notes Scientific Notation ? Decimal Notation
Example 0.007.04 10-3
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Notes Scientific Notation ? Decimal Notation
Example 0.007.04 10 -3
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Notes Scientific Notation ? Decimal Notation
Example 7.04 10-3 0.007,04
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Example Problem

• Calculate the force of the sun on the earth

Decimal Notation (Normal)
My calculator cant even handle this many digits!
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Example Problem

• Calculate the force of the sun on the earth

Scientific Notation
Much easier! Your calculator can do this for you.
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Notes
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Your Turn!

1. Convert to Scientific Notation 55,601
2. Convert to Scientific Notation 30,800,000
3. Convert to Scientific Notation 0.034
4. Convert to Scientific Notation 0.005,000,702

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Your Turn!

• Convert to Scientific Notation 55,601
• 55,601 5.560,1 104
• 2. Convert to Scientific Notation 30,800,000
• 30,800,000 3.08 107
• 3. Convert to Scientific Notation 0.034
• 0.034 3.4 10-2
• Convert to Scientific Notation 0.005,000,702
• 0.005,000,702 5.000,702 10-3

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Your Turn!

• 5. Convert to Decimal Notation 6.0 104
• 6. Convert to Decimal Notation 9.05 10-11
• 7. Convert to Decimal Notation 8.820 10-1
• 8. Convert to Decimal Notation 4.532,1 1013

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Your Turn!

• 5. Convert to Decimal Notation 6.0 104
• 6.0 104 60,000
• 6. Convert to Decimal Notation 9.05 10-11
• 9.05 10-11 0.000,000,000,090,5
• 7. Convert to Decimal Notation 8.820 10-1
• 8.820 10-1 0.882,0
• 8. Convert to Decimal Notation 4.532,1 1013
• 4.532,1 1013 45,321,000,000,000