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How do you write 8,1708,170 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 8,1708,170 in scientific notation?\newline_____×10_____\_\_\_\_\_ \times 10^{\_\_\_\_\_}
  1. Question Prompt: Question prompt: How do you write 8,1708,170 in scientific notation?
  2. Find Coefficient: Determine the coefficient for 8,1708,170 in scientific notation.\newlineTo find the coefficient, we move the decimal point to the left until we have a number between 11 and 1010.\newlineCoefficient: 8.178.17
  3. Determine Exponent: Decide whether 8,1708,170 will have a positive or negative exponent in scientific notation.\newlineSince 8,1708,170 is greater than 1010, it will have a positive exponent.
  4. Calculate Exponent: Calculate the exponent for 8,1708,170 in scientific notation.\newlineWe moved the decimal point 33 places to the left to get the coefficient 8.178.17.\newline8,170=8.17×1038,170 = 8.17 \times 10^3\newlineExponent: 33
  5. Write in Scientific Notation: Write 8,1708,170 in scientific notation using the coefficient and exponent.\newlineSubstitute 8.178.17 for the coefficient and 33 for the exponent in the form a×10ba \times 10^b.\newlineScientific notation: 8.17×1038.17 \times 10^3

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