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1 ScientificNotation Press Ctrl-A ©2009 – Not to be sold/Free to use Stage 5 Year 9

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2 red arrow green arrow 2. How many places is it from the red arrow to the green arrow (where decimal point was)? (with direction) Scientific Notation – Large Numbers (Also known as Standard Notation) 1.Move the decimal point from where it is Write 354 000 in scientific notation. How? 3.54 x 10 ? +5 10 5 3.54 x 10 5 2 to the standard position. (After the first non-zero number from the left.) 12345

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3 34500. Scientific Notation – Large Numbers 1.Move the decimal point to the right the number of places as indicate by the index, adding zeros as needed. Write 3.45 x 10 4 in normal notation. 3.45 1 2 3 4 2.Fill in any missing zeros 345. 3 AAMath

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4 B 3751 A C D 3.751x10 3 3751x10 3 3751x10 1 37.51x10 2 A B C D

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5 B 91000 A C D 9.1x10 3 9.1x10 4 91x10 3 91x10 4 A B C D

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6 B 904 A C D 904x10 0 90.4x10 1 9.04x10 2 904x10 2 A B C D

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7 Scientific Notation – Small Numbers Write 0.004 35 in scientific notation. How? 7 red arrow green arrow 2. How many places is it from the red arrow to the green arrow (where decimal point was)? (with direction) 1.Move the decimal point from where it is 4.35 x 10 ? -3 10 -3 4.35 x 10 -3 to the standard position. (After the first non-zero number from the left.)-2-3 AAmath

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8 Scientific Notation – Small Numbers 1.Move the decimal point to the left the number of places as indicate by the index, adding zeros as needed. Write 3.45 x 10 - 4 in normal notation. 3.45 1 2 3 4 2.Fill in any missing zeros 0. 3450.000345 8 AAMath

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9 B 0.147 A C D 147x10 -3 3751x10 -3 1.47x10 -1 14.7x10 -2 A B C D

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10 B 0.000098 A C D 98x10 0 9.8x10 1 98x10 -6 9.8x10 -5 A B C D

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11 B 0.0034 A C D 3.4x10 -4 3.4x10 -3 34x10 -3 34x10 3 A B C D

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Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.

Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.

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