Sci. Notation & Exponents

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What is scientific notation?

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A way to express very large or very small numbers using powers of ten. For example, 3000 can be written as 3 x 10^3.

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What does the exponent in scientific notation indicate?

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The exponent indicates how many times to multiply the base (10) by itself. For example, 10^3 means 10 x 10 x 10.

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How do you multiply numbers in scientific notation?

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Multiply the coefficients and add the exponents. For example, (2 x 10^3) * (3 x 10^4) = 6 x 10^(3+4) = 6 x 10^7.

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How do you divide numbers in scientific notation?

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Divide the coefficients and subtract the exponents. For example, (6 x 10^5) ÷ (2 x 10^2) = 3 x 10^(5-2) = 3 x 10^3.

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What is the rule for adding or subtracting numbers in scientific notation?

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Make sure the exponents are the same before adding or subtracting the coefficients. For example, (2 x 10^3) + (3 x 10^3) = 5 x 10^3.

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What is any number raised to the power of zero?

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Any non-zero number raised to the power of zero is equal to 1. For example, 5^0 = 1.

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What is the power of a power rule?

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What is the quotient rule for exponents?

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