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Published byOdalys Besley Modified over 2 years ago

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Scientific Notation

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When scientists deal with very large numbers, it’s hard to keep track of place values! How far? miles

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It is hard with very small numbers, too! How wide is an atom? meters wide!

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Scientific notation consists of two parts: A number between 1 and 10 A number between 1 and 10 A power of 10 A power of 10 N x 10 x

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We use Short hand ! 100 = 10 x 10 1,000 = 10 x 10 x ,000 = 10 x 10 x 10 x 10 x 10 10,000 = 10 x 10 x 10 x 10 1,000,000 = 10 x 10 x 10 x 10 x 10 x one googol !!!

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Standard Form 200 = 2 x 100 4,000 = 4 x ,000 = 5 x 100,000 70,000 = 7 x 10,000 3,000,000 = 3 x 1,000,000 Scientific Notation

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Add the decimal point A short cut Between 1 and 10 The point moved 6 places Move the point to get a number between 1 and 10

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Add the decimal point Between 1 and 10 The point moved 7 places Move the point to get a number between 1 and 10 A short cut

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Try for yourself: Turn Standard Form into Scientific Notation (1) (2) (3) (4) (5)

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=346,000 Zeros after the point aren’t needed. The point moves 5 places Hint: Add 5 zeros, although you probably won’t need them all. Changing back

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=86,000,000 Zeros after the point aren’t needed. The point needs to move 7 places Hint: Add 7 zeros, although you probably won’t need them all. Changing back

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Try for Yourself: Change Scientific Notation back to Standard form (1) (2) (3) (4) (5) = = = = =

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The point moved 10 places. Negative sign for small numbers. Move the point to get a number between 1 and 10 Standard Form to Scientific Form for SMALL numbers

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The point moved 7 places. Negative sign for small numbers. Move the point to get a number between 1 and 10 Standard Form to Scientific Notation for small numbers

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Standard Form to Scientific Notation for small numbers The point moved 6 places. Negative sign for small numbers. Move the point to get a number between 1 and 10

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Try for Yourself: Change Standard Form to Scientific Notation (1) (2) (3) (4) (5)

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= Hint: Add 3 zeros to the left of the number. -3 so remember to move point left 3 spaces.. Changing back small numbers

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= Hint: Add 5 zeros to the left of the number. -5 so remember to move point left for small numbers. Changing back small numbers

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= Hint: Add 6 zeros to the left of the number. -6 so remember to move point left for small numbers.

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(1) (2) (3) (4) (5) = = = = = Try for Yourself: Change Scientific Notation to Standard form

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