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 coefficient and a power of ten.

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

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To convert a number from standard form to scientific notation, move the decimal point in the number until only one non-zero digit remains to the left of the decimal. Count the number of places the decimal has moved; this will be the exponent of ten, which is positive if the original number is greater than 1 and negative if it is less than 1.

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Convert 0.004078 to scientific notation.

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4.078 x 10^-3

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What does a negative exponent in scientific notation indicate?

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A negative exponent in scientific notation indicates that the number is less than one and is a small number.

Front

Convert 7.82 x 10^-6 to standard form.

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0.00000782

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What is the coefficient in the scientific notation 2.34 x 10^7?

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The coefficient is 2.34.

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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 of the exponent. If the exponent is positive, move the decimal point to the right; if negative, move it to the left.

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Convert 125,678,000 to scientific notation.

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1.25678 x 10^8

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What is the standard form of 2.08 x 10^2?

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208

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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.