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 ten.

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How do you convert a number from scientific notation to standard form?

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To convert a number from scientific notation to standard form, multiply the coefficient by 10 raised to the power indicated. For example, 9.8 x 10^-5 becomes 0.000098.

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What is the standard form of 1.001 x 10^3?

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The standard form of 1.001 x 10^3 is 1001.

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How do you express a negative number in scientific notation?

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A negative number in scientific notation is expressed by placing a negative sign in front of the coefficient. For example, -5.6 can be written as -5.6 x 10^-3.

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What is the smallest number among 9 x 10^2, 1 x 10^3, and 5 x 10^1?

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The smallest number is 9 x 10^2, which equals 900.

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How do you express 0.00000008025 in scientific notation?

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0.00000008025 can be expressed in scientific notation as 8.025 x 10^-8.

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What is the purpose of using scientific notation?

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The purpose of using scientific notation is to simplify the representation of very large or very small numbers, making them easier to read, write, and calculate.

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How do you determine the exponent in scientific notation?

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The exponent in scientific notation indicates how many places the decimal point has moved. A positive exponent means the decimal moved to the right, while a negative exponent means it moved to the left.

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What is the standard form of -5.6 x 10^-3?

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The standard form of -5.6 x 10^-3 is -0.0056.

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How do you compare numbers in scientific notation?

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To compare numbers in scientific notation, first compare the exponents. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients.