Writing Numbers in Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you convert a large number to scientific notation?

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To convert a large number to scientific notation, move the decimal point to the left 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 10.

Front

How do you convert a small number to scientific notation?

Back

To convert a small number to scientific notation, move the decimal point to the right until only one non-zero digit remains to the left of the decimal. The exponent of 10 will be negative, indicating how many places the decimal was moved.

Front

What is the scientific notation for 1,000,000?

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1,000,000 in scientific notation is 1.0 x 10^6.

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What is the scientific notation for 0.001?

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0.001 in scientific notation is 1.0 x 10^-3.

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What does the exponent in scientific notation represent?

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The exponent in scientific notation indicates how many places the decimal point has been moved. A positive exponent indicates a large number, while a negative exponent indicates a small number.

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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 (the numbers in front) and add the exponents of 10.

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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.

Front

What is the scientific notation for 876,000,000?

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876,000,000 in scientific notation is 8.76 x 10^8.

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What is the scientific notation for 73,800?

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73,800 in scientific notation is 7.38 x 10^4.