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Scientific Notation Standard form / Scientific Notation Scientific Notation very small numbers Scientific Notation to Number Form MTH 4-06b

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Starter Questions X MTH 4-06b

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Learning Intention Success Criteria 1.To understand and use the quick method to put large numbers into scientific notation. 1.To show a very quick way of putting a large number in scientific notation very quickly. Scientific Notation MTH 4-06b

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Very large numbers! BOOM! How far? miles MTH 4-06b

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How many seconds in 70 years? 70 years = seconds! Very large numbers! Happy 70 th Birthday! SPLAT! MTH 4-06b

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Dinosaurs roamed the earth 228 million years ago Very large numbers!

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Short hand ! 100 = 10 x = 10 x 10 x = 10 x 10 x 10 x 10 x = 10 x 10 x 10 x = 10 x 10 x 10 x 10 x 10 x MTH 4-06b = 10 1 = 10 2 = 10 3 = 10 4 = 10 5 = 10 6

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Standard Form 200 = 2 x = 4 x = 5 x = 7 x = 3 x This is also known as Scientific Notation. MTH 4-06b = 2 x 10 2 = 4 x 10 3 = 7 x 10 4 = 5 x 10 5 = 3 x 10 6 Scale of BIG Numbers

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Standard Form Exercise 1 (1)2 000 (2) (3) 500 (4) (5) = 5 x 100 = 8 x = 2 x = 9 x = 2 x 1000 MTH 4-06b = 2 x 10 3 = 2 x 10 4 = 5 x 10 2 = 8 x 10 5 = 9 x 10 6

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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 MTH 4-06b = 8 x 10 6

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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 MTH 4-06b = 9.2 x x 10 7 miles

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Add the decimal point Between 1 and 10 The point moved 9 places Move the point to get a number between 1 and 10 Happy Birthday: Seconds old! A short cut MTH 4-06b = 2.2 x 10 9 = 2.2 x 10 9

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Add the decimal point Between 1 and 10 The point moved 8 places Move the point to get a number between 1 and 10 A short cut MTH 4-06b = 2.28 x 10 8 = 2.28 x 10 8 years old

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Standard Form (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) MTH 4-06b = 3 x 10 4 = 7 x 10 5 = 5.3 x 10 3 = 4.7 x 10 5 = 9.5 x 10 6 = 18.3 x 10 7 = 3.29 x 10 5 = 2.56 x 10 6 = 1.2 x = 9.99 x 10 6

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Starter Questions MTH 4-06b

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Scientific Notation Learning Intention Success Criteria 1.Know how to expand large numbers in scientific notation to number format. 1.To understand how to change large numbers from Scientific Notation to number form. MTH 4-06b

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= Zeros after the point aren’t needed. The point moves 7 places Hint: Add 7 zeros, although you probably won’t need them all. Changing back MTH 4-06b 8.6 x 10 7 =

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= 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 MTH 4-06b 3.46 x 10 5 =

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Changing back (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) = = = = = = = = = = MTH 4-06b

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Name that number! one thousand one million one billion one googol !!! MTH 4-06b = 1 x 10 3 = 1 x 10 6 = 1 x 10 9 = 1 x

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Starter Questions MTH 4-06b

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Scientific Notation Learning Intention Success Criteria 1.Know how to change very small numbers into scientific notation and how to do the reverse process. 1.To understand how to change very small numbers into Scientific Notation and vice versa. MTH 4-06b

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Very small numbers! How wide is an atom? metres wide! MTH 4-06b

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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 for small numbers MTH 4-06b = 1 x Scale of 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 for small numbers MTH 4-06b = 7.6 x 10 -7

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Standard Form for small numbers The point moved 6 places. Negative sign for small numbers. Move the point to get a number between 1 and 10 MTH 4-06b = 1.93 x 10 -6

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Standard Form for small numbers (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) MTH 4-06b

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= Hint: Add 3 zeros to the left of the number. -3 so remember to move point left for small numbers.. Changing back small numbers MTH 4-06b 2 x =

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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 MTH 4-06b 8.6 x =.

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Changing back small numbers = Hint: Add 6 zeros to the left of the number. -6 so remember to move point left for small numbers. MTH 4-06b 5.16 x =.

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(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) = = = = = = = = = = Changing back small numbers MTH 4-06b

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