Adding and Subtracting 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 add numbers in scientific notation with different exponents?

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To add numbers in scientific notation with different exponents, you must first convert them to the same exponent. Then, you can add the coefficients.

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What is the process for subtracting numbers in scientific notation?

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To subtract numbers in scientific notation, ensure they have the same exponent. If they do not, convert one or both numbers to have the same exponent before subtracting 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 ten by which the coefficient is multiplied, determining the scale of the number.

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

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To convert a number from standard form 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.

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What is the result of (5.2 x 10^7) + (3.01 x 10^4)?

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5.20301 x 10^7 (after converting 3.01 x 10^4 to the same exponent as 5.2 x 10^7).

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What is the result of (7.32 x 10^6) - (4.01 x 10^8)?

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-3.937 x 10^8 (after converting 7.32 x 10^6 to the same exponent as 4.01 x 10^8).

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How do you express the sum of (7.3 x 10^5) + (3.7 x 10^5) in scientific notation?

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1.1 x 10^6 (by adding the coefficients since the exponents are the same).

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What is the result of (5 x 10^8) - (3.4 x 10^8)?

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1.6 x 10^8 (by subtracting the coefficients since the exponents are the same).

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What is the rule for multiplying numbers in scientific notation?

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