Scientific Notation and Operations in 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 the product of a number (between 1 and 10) and a power of 10.

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How do you convert a number into scientific notation?

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To convert a number into scientific notation, move the decimal point in the number until only one non-zero digit remains to the left of the decimal point. Count the number of places the decimal has moved; this will be the exponent of 10. If you moved the decimal to the left, the exponent is positive; if to the right, it is negative.

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What is the standard form of a number?

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The standard form of a number is its usual way of writing without exponents. For example, -5.6 x 10^-3 in standard form is -0.0056.

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How do you add or subtract numbers in scientific notation?

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To add or subtract numbers in scientific notation, the exponents must be the same. If they are not, adjust one of the numbers so that the exponents match, then add or subtract the coefficients.

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What is the result of (5 x 10^8) - (3.4 x 10^8)?

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The result is 1.6 x 10^8.

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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.

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What is the result of (4 x 10^5) * (5 x 10^-3)?

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The result is 2 x 10^3.

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How do you divide numbers in scientific notation?

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To divide numbers in scientific notation, divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

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Convert 0.068 into scientific notation.

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0.068 in scientific notation is 6.8 x 10^-2.

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Convert 520,000,000 into scientific notation.

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520,000,000 in scientific notation is 5.2 x 10^8.