Standard Notation to Scientific Notation

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What is scientific notation?

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number (between 1 and 10) and a power of 10.

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How do you convert a large number to scientific notation?

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To convert a large number to scientific notation, move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places you moved the decimal; this will be the positive exponent of 10.

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Convert 40,000,000,000 to scientific notation.

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How do you convert a small number to scientific notation?

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To convert a small number to scientific notation, move the decimal point to the right until only one non-zero digit remains to the left of the decimal. Count the number of places you moved the decimal; this will be the negative exponent of 10.

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Convert 0.0005 to scientific notation.

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What is the scientific notation for 520,000,000?

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Write 0.037 in scientific notation.

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What is the scientific notation for 0.0000002203?

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What does the exponent in scientific notation represent?

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The exponent in scientific notation indicates how many places the decimal point has been moved. A positive exponent means the original number is large, while a negative exponent means the original number is small.

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How do you multiply numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients and add the exponents of the powers of 10.