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How do you write 3,9003,900 in scientific notation?\newline_____×10_____\_\_\_\_\_ \times 10^{\_\_\_\_\_}

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Convert between standard and scientific notationright chevron icon

Full solution

Q. How do you write 3,9003,900 in scientific notation?\newline_____×10_____\_\_\_\_\_ \times 10^{\_\_\_\_\_}
  1. Find Coefficient: Determine the coefficient for 3,9003,900 in scientific notation.\newlineTo find the coefficient, we need to move the decimal point to the left until we have a number between 11 and 1010.\newlineCoefficient: 3.93.9
  2. Determine Sign: Decide whether 3,9003,900 will have a positive or negative exponent in scientific notation.\newlineSince 3,9003,900 is greater than 1010, it will have a positive exponent.
  3. Calculate Exponent: Calculate the exponent for 3,9003,900 in scientific notation.\newlineWe moved the decimal point to the left 33 places to get the coefficient 3.93.9.\newline3,900=3.9×1033,900 = 3.9 \times 10^3\newlineExponent: 33
  4. Write in Scientific Notation: Write 3,9003,900 in scientific notation using the coefficient and exponent.\newlineSubstitute 3.93.9 for the coefficient and 33 for the exponent in the form a×10ba \times 10^b.\newlineScientific notation: 3.9×1033.9 \times 10^3

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