Unit 5 Flashcard 3 C2/3: Rational and IRR, Exp. and Scientific Not

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What is scientific notation?

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

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How do you convert scientific notation to standard form?

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Multiply the number (a) by 10 raised to the power of n. For example, 8.317 x 10^6 becomes 8,317,000.

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What is the value of any number raised to the power of zero?

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1

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Is the first part of scientific notation always a number between 1 and 100?

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False; it should be between 1 and 10.

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What is the purpose of using scientific notation?

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To simplify the representation of very large or very small numbers, making them easier to read and work with.

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How do you express 0.00045 in scientific notation?

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4.5 x 10^-4.

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What is the standard form of 5.67 x 10^3?

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5,670.

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What does the exponent in scientific notation indicate?

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The exponent indicates how many places to move the decimal point. A positive exponent moves it to the right, while a negative exponent moves it to the left.

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