Scientific Notation and Operations

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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 notation?

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To convert from scientific notation to standard notation, multiply the coefficient by 10 raised to the power indicated. For example, 2.4 x 10^-3 becomes 0.0024.

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What is the general form of scientific notation?

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The general form of scientific notation is a x 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you multiply two numbers in scientific notation?

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To multiply two numbers in scientific notation, multiply the coefficients and add the exponents. For example, (a x 10^m)(b x 10^n) = (a*b) x 10^(m+n).

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How do you divide two numbers in scientific notation?

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To divide two numbers in scientific notation, divide the coefficients and subtract the exponents. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

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What is the significance of the exponent in scientific notation?

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The exponent in scientific notation indicates the number of places the decimal point is moved. A positive exponent means the number is large, while a negative exponent means the number is small.

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Convert 0.00000707 to scientific notation.

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0.00000707 in scientific notation is 7.07 x 10^-6.

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What is the result of multiplying (9.4 x 10^6) and (3.2 x 10^5)?

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The result is 3.008 x 10^12.

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What is the result of dividing (5.2 x 10^11) by (2 x 10^5)?

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The result is 2.6 x 10^6.

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How do you handle exponents when multiplying numbers in scientific notation?

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When multiplying, you add the exponents of the powers of ten.