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. Adjust the coefficient of the number with the smaller exponent, then 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, convert them to the same exponent if they are different. Adjust the coefficient of the number with the smaller exponent, then subtract 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 (9.54 x 10^8) + (3.22 x 10^7) into scientific notation?

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Convert (3.22 x 10^7) to (0.322 x 10^8), then add: (9.54 + 0.322) x 10^8 = 9.862 x 10^8.

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What is the result of (8.7 x 10^5) + (7.32 x 10^7) in scientific notation?

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Convert (8.7 x 10^5) to (0.087 x 10^7), then add: (0.087 + 7.32) x 10^7 = 7.407 x 10^7.

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How do you find the difference of (9.87 x 10^7) - (7.42 x 10^7)?

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Since both numbers have the same exponent, subtract the coefficients: (9.87 - 7.42) x 10^7 = 2.45 x 10^7.

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What is the sum of (4.8 x 10^8) + (5.4 x 10^8)?

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Since both numbers have the same exponent, add the coefficients: (4.8 + 5.4) x 10^8 = 10.2 x 10^8 = 1.02 x 10^9.

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How do you add (2.6 x 10^6) + (4.2 x 10^6)?

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Since both numbers have the same exponent, add the coefficients: (2.6 + 4.2) x 10^6 = 6.8 x 10^6.

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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: (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).