Scientific Notation

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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 decimal number to scientific notation?

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To convert a decimal number to scientific notation, move the decimal point to the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal point; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

Front

Convert 0.037 to scientific notation.

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3.7 x 10^-2

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Convert 2,500,000 to scientific notation.

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2.5 x 10^6

Front

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

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208

Front

Convert 0.000972 to scientific notation.

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9.72 x 10^-4

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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.

Front

What does the exponent in scientific notation indicate?

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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 the powers of ten.

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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.