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Published byElla Preston Modified over 8 years ago

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Scientific Notation

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Essential Question How do I use scientific notation to represent numbers?

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× 10 3 How do we write numbers in Scientific Notation? To put a number in scientific notation, first move the decimal to the right or left until the number is greater than 1, but less than 10. Then write the power of 10 By moving the decimal 3 places to the left, we really divided by 1000. So we have to multiply by 10 3 in order to represent the original number. Example: 2 6 7 8

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Example 1 Write in scientific notation. 3 4,6 9 0 = 3.4690 × 10 4

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Example 2 Write in scientific notation. 0 0 3 9 = 3.9 × 10 -2

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Example 3 Write in scientific notation. 5,6 0 0,0 0 0,0 0 0 = 5.6 × 10 9

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Example 4 Write in scientific notation. 0 0 0 0 7 2 2 = 7.22 × 10 -4

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Writing in Decimal form To change a number from scientific notation to decimal form just move the decimal. + Exponent: move right - Exponent: move left

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Example 5 Write in decimal form. 2.834 × 10 2 = 2 8 3 4 = 283.4

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Example 6 Write in decimal form. 4.9 × 10 5 4 9 0 0 0 0 = 490,000

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Example 7 Write in decimal form. 7.8 × 10 -1 = 7 8 =.78

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