7.1b 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 ten.

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How do you convert a number to scientific notation?

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

Front

Convert 0.00000707 to scientific notation.

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7.07 x 10^-6

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Convert 7.113 x 10^7 to standard form.

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71,130,000

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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 of ten. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients.

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Which is larger: 4.8 x 10^-6 or 3.1 x 10^-4?

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3.1 x 10^-4 is larger.

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What is the correct scientific notation for the number 20350?

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2.035 x 10^4

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List the elements in order from least mass to greatest mass per atom: hydrogen, carbon, oxygen, silver, gold.

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hydrogen, carbon, oxygen, silver, gold

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What is the purpose of using scientific notation in science?

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Scientific notation is used in science to simplify the representation of very large or very small numbers, making calculations easier and clearer.

Front

How do you express 0.000000123 in scientific notation?

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1.23 x 10^-7