1-9 Scientific Notation (p. 43-45)

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1-9 Scientific Notation (p. 43-45)

• Indicator? N1 Demonstrate an understanding of
  place value using powers of 10 and write large
  numbers in scientific notation
• Vocabulary
• Scientific Notation(1-9) writing a number
  shorter by using powers of tens. There can only
  be one number to the left of the decimal
• Example 6,500,000 6.5 x 106
• Standard Scientific Notation

Note The exponent does NOT indicate how many
zeros there are on the number!
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Which direction should I move the decimal point?

• Positive Exponents
• Move right!!
• Negative Exponents
• Move left!!

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1-9 Scientific Notation

• Examples
• Write in standard form.
• 1.4 x104 The exponent tells you how many
  places and which direction to move the decimal.
• 14,000 The exponent is a 4, this means that
  you move the decimal 4 places to the right.
• 1.57x10-6 The exponent tells you how many
  places and which direction to move the decimal.
• 0.00000157 The exponent is a -6, this means
  that you move the decimal 6 places to
  the left.

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Write in Scientific Notation

• 34,000,000
• 3.4 x 107
• 12 billion
• 1.2 x1010

• move the decimal until you have a number between
  1-10
• count the number of place values that you move,
  that becomes your exponent for the 10
• move the decimal until you have a number between
  1-10
• count the number of place values that you move,
  that becomes your exponent for the 10

• Compare with lt gt or
• 6000 ( ) 6x102
• 6000 (gt) 600

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• Try this
• Write in standard form
• 2.3 x 108
• 230,000,000
• Write in scientific notation
• 5,640,000
• 5.64 x 106
• What does 6 x 100 mean?
• Any number raised to the zero power 1.
• 1001 So, 6 x 100 6 x 1 6
• What does 6 x 10-1
• Remember, when the exponent is negative, you
  move the decimal to the left, instead of the
  right.
• So, 6 x 10-1 0.6

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Homework

• Pg. 44-45 14-30 even, 36, 37, 38-50 even