Scientific Notation Operations

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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 10.

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How do you add numbers in scientific notation?

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To add numbers in scientific notation, ensure the exponents are the same. If they are not, adjust one of the numbers so that the exponents match, then add the coefficients.

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What is the general form of scientific notation?

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The general form of scientific notation is: a × 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you multiply numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients and add the exponents of the powers of 10.

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What is the result of (2.8 × 10^2) × (3.9 × 10^4)?

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What is the result of (3.4 × 10^5) × (1.2 × 10^-3)?

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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 number between 1 and 10, and count the number of places moved to determine the exponent of 10.

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What is the result of 4.1 × 10^6 + 5.5 × 10^6?

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What is the result of 5.3 × 10^5 + 3.7 × 10^5?

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What is the rule for adding numbers in scientific notation with different exponents?

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If the exponents are different, convert one of the numbers so that both have the same exponent before adding.