SCIENTIFIC NOTATION Essential Question? How can you use scientific notation to represent very large and very small quantities? 8.EE.3

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Using Scientific Notation SCIENTIFIC NOTATION is a method of expressing very large and very small numbers as a product of a number greater than or equal to 1 and less than 10, and a power of 10. It is expressed in the form: 𝐚× 𝟏𝟎 𝒃 , 𝒘𝒉𝒆𝒓𝒆 𝟏≤𝒂<𝟏𝟎 Example: 𝟐.𝟕𝟑× 𝟏𝟎 𝟓 A number ≥ 1 and < 10 A power of 10

Standard Notation When a number is written out the ordinary way, it is called STANDARD NOTATION. Example: Standard Notation: 𝟐𝟕𝟑,𝟎𝟎𝟎 Scientific Notation: 𝟐.𝟕𝟑× 𝟏𝟎 𝟓

Scientific Notation Examples: 3,780,000,000,000 = 0.00000064 = 12 jumps left 0.00000064 = 7 jumps right

Large Numbers 46,000,000 = 620,000,000,000 = Small Numbers 0.000538 = 7 jumps left 620,000,000,000 = 11 jumps left Small Numbers 0.000538 = 4 jumps right 0.000004 = 6 jumps right

Write using scientific notation. 1) 63,000 4) 0.00087 4 jumps left 4 jumps right 2) 7,245,000 5) 0.0000653 6 jumps left 5 jumps right 3) 50,000,000,000 6) 0.0000002 10 jumps left 7 jumps right

Write each number in standard form. 1) 4) 3.6 3.41 360,000 0.00000341 2) 5) 8.43 4 0.000000843 400,000,000 3) 6) 2.64 7 2,640,000,000 0.000007

Will the solution be a negative number or a positive number? SCIENTIFIC NOTATION Which is equivalent to 8.03 x 10-8 ? -803,000,000 -0.0000000803 0.0000000803 803,000,000 Will the solution be a negative number or a positive number?

Solving Problems Using Scientific Notation According to the WWF,  the city of Iquitos in Peru, along the Amazon River, receives an average monthly rainfall of 218.58mm. Approximately how many years would it take for the rainfall to reach 1.4426× 10 4 mm?