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 written as the product of a number (between 1 and 10) and a power of ten.

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How do you add numbers in scientific notation?

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To add numbers in scientific notation, you must first ensure that the exponents of ten are the same. If they are not, adjust one of the numbers by converting it to an equivalent value with the same exponent. Then, add the coefficients and keep the common exponent.

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How do you subtract numbers in scientific notation?

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To subtract numbers in scientific notation, make sure the exponents of ten are the same. If they are not, adjust one of the numbers to have the same exponent. Then, subtract the coefficients and keep the common exponent.

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What is the process for multiplying numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients and add the exponents of ten. The result is expressed in scientific notation.

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What is the process for dividing numbers in scientific notation?

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To divide numbers in scientific notation, divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator. The result is expressed in scientific notation.

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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 create a number between 1 and 10, and count the number of places the decimal point was moved. This count becomes the exponent of ten, which is positive if moved to the left and negative if moved to the right.

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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 ten by which the coefficient is multiplied. It determines the scale of the number, indicating whether it is a large or small value.

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What is the smallest number among the following in scientific notation: 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, 8.4 x 10^19?

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The smallest number is 8.4 x 10^19.

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How do you express very small numbers in scientific notation?

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Very small numbers are expressed in scientific notation by using a negative exponent. For example, 0.00000707 is expressed as 7.07 x 10^-6.

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What is the result of (3.4 x 10^5)(1.2 x 10^-3) in scientific notation?

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The result is 4.08 x 10^2.