Scientific Notation

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

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How do you convert 450,000 to scientific notation?

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To convert 450,000 to scientific notation, you write it as 4.5 x 10^5.

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What does the exponent in scientific notation indicate?

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The exponent in scientific notation indicates how many places to move the decimal point. A positive exponent means the number is large, while a negative exponent means the number is small.

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Convert 0.004078 to scientific notation.

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0.004078 in scientific notation is 4.078 x 10^-3.

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What is the scientific notation for 0.000398?

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The scientific notation for 0.000398 is 3.98 x 10^-4.

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If a number is expressed as 7.82 x 10^-6, what does the -6 exponent tell you?

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The -6 exponent indicates that the number is very small.

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How do you identify the coefficient in scientific notation?

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The coefficient in scientific notation is the number 'a' in the expression a x 10^n, which must be between 1 and 10.

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What is the standard form of the number 3.2 x 10^4?

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The standard form of 3.2 x 10^4 is 32,000.

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How do you convert a number from scientific notation to standard form?

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To convert from scientific notation to standard form, move the decimal point to the right for positive exponents and to the left for negative exponents.

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What is the significance of the number 10 in scientific notation?

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The number 10 in scientific notation serves as the base for the exponent, indicating the scale of the number.