4.3 Scientific Notation & Compare!

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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 compare two numbers in scientific notation with the same exponent?

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When comparing two scientific notations with the same exponent, the larger number is determined by the base number.

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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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What is the correct scientific notation for the number 20350?

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The correct scientific notation is 2.035 x 10^4.

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How do you determine the greatest number among scientific notations?

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To determine the greatest number among scientific notations, compare the base numbers if the exponents are the same; otherwise, compare the exponents.

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What is the significance of the exponent in scientific notation?

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The exponent indicates the power of ten by which the base number is multiplied, determining the scale of the number.

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What is the range of the base number in scientific notation?

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The base number in scientific notation must be between 1 and 10 (1 ≤ a < 10).

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

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To convert a number to scientific notation, move the decimal point to create a new number between 1 and 10, and count the number of places moved to determine the exponent.

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What is the scientific notation for the number 0.00045?

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The scientific notation for 0.00045 is 4.5 x 10^-4.

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How do you add or subtract numbers in scientific notation?

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To add or subtract numbers in scientific notation, they must have the same exponent. If they do not, convert them to the same exponent before performing the operation.