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Tell a neighbor… 1.An example of a very large number. 2.An example of a very small number.

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Pre-Algebra Mrs. Spanier

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Scientific Notation Numbers such as 1,953,000,000 and 0.00009 are written in standard form. Another way to write a number is to use scientific notation.

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Scientific Notation c x 10 n where 1 ≤ c < 10 and n is an integer Standard Form Scientific Notation 2,000,0002 x 10 6 2,000,0002 x 10 6 0.0055 x 10 -3 0.0055 x 10 -3

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Write in Scientific Notation: 1)42,590,000 2)539,000 3)0.0000574 4)0.00000004 1)4.259 x 10 7 2)5.39 x 10 5 3)5.74 x 10 -5 4)4.0 x 10 -8

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Write Numbers in Standard Form 1)2.0075 x 10 6 2)7.0234 x 10 5 3)1.685 x 10 -4 4)3.09 x 10 -6 1)2,007,500 2)702,340 3)0.0001685 4)0.00000309

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Order Numbers in Scientific Notation Order from least to greatest: 103,400,000, 7.8 x 10 8, 80,760,000 780,000,000 80,760,000, 103,400,000, 7.8 x 10 8

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Your turn: Order from least to greatest. 2.7 x 10 5, 3.401 x 10 4, 27,500

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3/26/12 Please do scientific notation matching activity (green cards) with a partner. Please do scientific notation matching activity (green cards) with a partner.

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Adding and Subtracting Scientific Notation Mrs. Spanier Algebra 1

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To Add or Subtract… 1.Change numbers to standard form. 2.Add or subtract them. 3.Convert answer back into scientific notation.

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Solve. Write answers in scientific notation. 2.4 x 10 2 )+(1.3 x 10 5 ) 1. (2.4 x 10 2 )+(1.3 x 10 5 ) = 240 + 130,000 = 130,240 = 1.3024 x 10 5 x 10 -2 )+(7.4 x 10 1 ) 2. (5 x 10 -2 )+(7.4 x 10 1 ) = 0.05 + 74 = 74.05 = 7.405 x 10 1 4 x 10 3 ) – (3.1 x 10 5 ) 3. (4 x 10 3 ) – (3.1 x 10 5 ) = 4,000 – 310,000 = -306,000 = -3.06 x 10 5 x 10 -3 ) – (2 x 10 -3 ) 4. (8.1 x 10 -3 ) – (2 x 10 -3 ) = 0.0081 – 0.002 = 0.0061 = 6.1 x 10 -3

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Warm Up Simplify. Write your answer in Scientific Notation. (5.2 x 10 4 ) + (5.3 x 10 4 ) 1.05 x 10 5 52,000 + 53,000 = 105,000 HW Check Today! Find others with your card # and sit together wherever you like. Find others with your card # and sit together wherever you like.

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Multiplying and Dividing Scientific Notation

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Compute with Numbers in Scientific Notation Evaluate the expression. Write your answer in scientific notation. (8.5 x 10 2 )(1.7 x 10 6 ) (5.7 x 10 3 )(2.6 x 10 4 ) = 1.445 x 10 9 = 1.482 x 10 8

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Compute with Numbers in Scientific Notation Evaluate the expression (by distributing). Write your answer in scientific notation. (1.5 x 10 -3 ) 2 (2.4 x 10 -4 ) 2 = 2.25 x 10 -6 = 5.8 x 10 -8

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Your turn: Evaluate each expression. Write your answer in scientific notation. 1) 1.2 x 10 4 2) 2.4 x 10 -2 1.6 x 10 -3 2.5 x 10 4 1.6 x 10 -3 2.5 x 10 4 = 7.5 x 10 6 = 9.6 x 10 -7

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Your turn: Evaluate each expression. Write your answer in scientific notation. (1.3 x 10 -5 ) 2 (1.1 x 10 3 )(4.2 x 10 0 ) 4.5 x 10 5 1.5 x 10 -2 = 1.69 x 10 -10 = 4.62 x 10 3 = 3 x 10 7

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