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 a × 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 coefficient (a) by 10 raised to the power of n. For example, 4 × 10^5 = 400,000.

Front

Convert 4 × 10^5 to Standard Notation.

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400,000

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Convert 0.0000378 to Scientific Notation.

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3.78 × 10^-5

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What is the purpose of 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.

Front

Convert 2.5 × 10^3 to Standard Notation.

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2,500

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Convert 570,000,000 to Scientific Notation.

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5.7 × 10^8

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Convert 9,000,000 to Scientific Notation.

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9 × 10^6

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What is the general form of a number in Scientific Notation?

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a × 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you convert a small decimal number to Scientific Notation?

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Move the decimal point to the right until you have a number between 1 and 10, and count the number of places moved. This will be a negative exponent.