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How do you write 19,80019,800 in scientific notation?\newline_____×10_____\_\_\_\_\_\times 10^{\_\_\_\_\_}

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Full solution

Q. How do you write 19,80019,800 in scientific notation?\newline_____×10_____\_\_\_\_\_\times 10^{\_\_\_\_\_}
  1. Find Coefficient: Determine the coefficient for 19,80019,800 in scientific notation.\newlineTo find the coefficient, we need to move the decimal point to the left until we have a number that is at least 11 but less than 1010.\newlineCoefficient: 1.981.98
  2. Determine Sign: Decide whether 19,80019,800 will have a positive or negative exponent in scientific notation.\newlineSince 19,80019,800 is greater than 1010, it will have a positive exponent in scientific notation.
  3. Calculate Exponent: Calculate the exponent for 19,80019,800 in scientific notation.\newlineWe moved the decimal point to the left 44 times to get the coefficient 1.981.98.\newline19,800=1.98×10419,800 = 1.98 \times 10^4\newlineExponent: 44
  4. Write in Scientific Notation: Write 19,80019,800 in scientific notation using the coefficient and exponent.\newlineSubstitute 1.981.98 for the coefficient and 44 for the exponent in the expression a×10ba \times 10^b.\newlineScientific notation: 1.98×1041.98 \times 10^4

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