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Published byMaude Pierce Modified over 9 years ago
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Chapter 2: Measurement and Problem Solving
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Express very large and very small numbers using scientific notation.
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Scientific notation allows us to express very large or small numbers without having to write down all of the digits 15,000,000,000 = 1.5 x 10 10 0.00000264 = 2.64 x 10 -6 When expressing numbers in scientific notation, always keep the same number of sigfigs as in the original measurement.
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To express a number written in standard notation in scientific notation: Move the decimal until one nonzero digit appears to the left of the decimal. The exponent represents the number of decimal places you moved ▪ A positive exponent represents a value larger than one ▪ A negative exponent represents a value less than one
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Include all significant figures ▪ 1.5 x 10 5 = 150,000 ▪ 2.93 x 10 -7 = 0.000000293
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If the decimal point is moved to the left, the exponent is positive. If the decimal point is moved to the right, the exponent is negative.
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A number written in scientific notation has two parts: A decimal part An exponential part
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The 2013 U.S. population was estimated to be 315,000,000 people. Express this number in scientific notation.
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The total U.S national debt in 2013 was approximately $16,342,000,000,000. Express this number in scientific notation.
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The radius of a carbon atom is approximately 0.000000000070 m. Express this number in scientific notation.
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Express the number 0.000038 in scientific notation.
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