Scientific Notation & 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 typically in the form of a × 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.

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How do you convert a small number to scientific notation?

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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.

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What is the standard form of a number?

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The standard form of a number is its usual decimal representation, as opposed to scientific notation.

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What is the significance of the exponent in scientific notation?

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The exponent in scientific notation indicates the number of 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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Convert 600,201,000,000 to scientific notation.

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6.00201 × 10^11.

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Convert 0.00011001 to scientific notation.

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1.1001 × 10^-4.

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Convert 4,050,000 to scientific notation.

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4.05 × 10^6.

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Convert 60,000,000 to scientific notation.

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6 × 10^7.

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Convert 0.000004004 to scientific notation.

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4.004 × 10^-6.