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 a decimal number to scientific notation?

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To convert a decimal number to scientific notation, move the decimal point to the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal point; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

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Convert 0.0005 to scientific notation.

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0.0005 can be written as 5 x 10^-4 in scientific notation.

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What is the largest number among the following: 1.3 x 10^12, 2.5 x 10^11, 4.0 x 10^10?

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1.3 x 10^12 is the largest number.

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Identify which of the following is in scientific notation: 8.98 x 10^6, 1000, 0.0001.

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8.98 x 10^6 is in scientific notation.

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How do you determine the smallest number in scientific notation?

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To determine the smallest number in scientific notation, compare the exponents first. The number with the smallest exponent is the smallest. If the exponents are the same, compare the coefficients.

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Convert -5.6 x 10^-3 to standard form.

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-5.6 x 10^-3 in standard form is -0.0056.

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What is the standard form of 3.2 x 10^5?

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The standard form of 3.2 x 10^5 is 320000.

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How do you compare two numbers in scientific notation?

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To compare two numbers in scientific notation, first compare the exponents. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients.

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What is the significance of the exponent in scientific notation?

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The exponent in scientific notation indicates the power of 10 by which the coefficient is multiplied, determining the scale of the number.