Converting Between Scientific Notation and Standard Form

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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 from standard form to scientific notation?

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To convert a number from standard form 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 move the decimal to the left, the exponent is positive; if to the right, it is negative.

Front

Convert 0.000398 to scientific notation.

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3.98 x 10^-4

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What is the standard form of 2.45 x 10^6?

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2,450,000

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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 number 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.

Front

Convert 3.68 x 10^-5 to standard form.

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0.0000368

Front

What is the correct scientific notation for the number 20350?

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2.035 x 10^4

Front

Express 0.000457 in scientific notation.

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4.57 x 10^-4

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What is the significance of the exponent in scientific notation?

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The exponent in scientific notation indicates how many places to move the decimal point. A positive exponent means the number is large, while a negative exponent means the number is small.

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What is the range of the coefficient in scientific notation?

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The coefficient in scientific notation must be greater than or equal to 1 and less than 10.