Scientific Notation (Positive Exponents)

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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 convert a large number to scientific notation?

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To convert a large number to scientific notation, move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places the decimal has moved; this will be the exponent of 10.

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Convert 480,000,000 to scientific notation.

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4.8 x 10^8.

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Convert 982,220,000 to scientific notation.

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9.8222 x 10^8.

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Convert 12,501,000 to scientific notation.

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1.2501 x 10^7.

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Convert 1,400,000 to scientific notation.

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1.4 x 10^6.

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Convert 152,650,000,000 to scientific notation.

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1.5265 x 10^11.

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What is the significance of the exponent in scientific notation?

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The exponent indicates how many places the decimal point has been moved. A positive exponent means the original number is large, while a negative exponent indicates a small number.

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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. For example, (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).

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How do you divide numbers in scientific notation?

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To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).