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, 3.2 × 10^4 = 32,000.

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800

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400,000

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2,500

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97,000,000

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What is the first step in converting a number to Scientific Notation?

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Identify the significant figures and place the decimal point after the first non-zero digit.

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Convert 670,400 to Scientific Notation.

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6.704 × 10^5

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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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5.6 × 10^-4