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Scientific Notation Objective: Students will read and write numbers in scientific notation.
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Algebra Standards: 8 EE.3 and 8 EE.4
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
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Scientific Notation used to write very large or very
small numbers expressed in the form … 2 3 . 12 x 10 -3 1 . x 10
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Scientific Form Decimal Form 4.83 a) 4.83 x 10 = 483 5.3 b) 5.3 x 10 =
#1 Scientific to Decimal/Standard Form Write the number in Decimal Form Scientific Form Decimal Form 2 4.83 a) 4.83 x 10 = 483 5.3 -3 b) 5.3 x 10 = 0.0053 2 9.0 c) 9.0x 10 = 900 d) 1.2 x 10 -4 1.2 = e) 6.78 x 10 6.78
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Scientific Notation is backwards?
Going from Decimal to Scientific Notation is backwards? Big Number = Positive Exponent Small Number = Negative Exponent 483 0.0053 2,300,000 0.1 1.0 0.9 20.0 0.21 A number to the left of the decimal is not ZERO All numbers to the left of the decimal are ZERO
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Scientific Form Decimal Form a) 3,000,000 3 . x 10 3,000,000 b) 0.0823
#2 Decimal/Standard Form to Scientific Write the number in Scientific Notation Scientific Form Decimal Form 6 a) 3,000,000 3 . x 10 3,000,000 - 2 b) 0.0823 8 . 23 x 10 0.0823 c) 10.2 1 1 . 02 x 10 10.2 1 - d) 0.1 1 . x 10 0.1 9 . 764 x 10 9.764 e) 9.764
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#3 Operation with Scientific Notation
Perform the operation. Write the result in Scientific Notation. 7 -2 a) (3.14 x 10 ) (5.2 x 10 ) 7 -2 (3.14 x 5.2) (10 x 10 ) 5 (16.32) x 10 1 5 1.632 x 10 x 10 6 1.632 x 10
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#3 Operation with Scientific Notation
Perform the operation. Write the result in Scientific Notation. b) 5.4 x 10 -2 5.4 10 -2 x = -6 7.2 x 10 -6 7.2 10 0.75 x 10 4 = - 1 4 7.5 x 10 x 10 = 3 7.5 x 10 =
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#3 Operation with Scientific Notation
Perform the operation. Write the result in Scientific Notation. 3 c) (3 x 10 ) -4 3 -4 3 3 x (10 ) = -12 27 x 10 = 1 -12 2.7 x 10 x 10 = -11 2.7 x 10 =
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Assignment Book Pg. 472 – 473 # 17 – 45 odd #47 – 55 all
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