Scientific Notation Objective: Students will read and write numbers in scientific notation.

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.

Scientific Notation used to write very large or very small numbers expressed in the form … 2 3 . 12 x 10 -3 1 . x 10

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 = 0.00012 e) 6.78 x 10 6.78

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

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

#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

#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 =

#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 =

Assignment Book Pg. 472 – 473 # 17 – 45 odd #47 – 55 all