Scientific Notation

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What is Scientific Notation?

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A way to express very large or very small numbers using powers of ten. It is written 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 number from Scientific Notation to Standard Notation?

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Multiply the number (a) by 10 raised to the power of n. If n is positive, move the decimal point to the right; if n is negative, move it to the left.

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0.000000032456

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Convert 570,000,000 to Scientific Notation.

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5.7 x 10^8

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Convert 0.0000378 to Scientific Notation.

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3.78 x 10^{-5}

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Convert 670,400 to Scientific Notation.

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6.704 x 10^5

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97,000,000

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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, write, and calculate.

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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 means move to the right, and a negative exponent means move to the left.

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What is the range for the coefficient 'a' in Scientific Notation?

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1 ≤ a < 10.