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How do you write 86.486.4 in scientific notation?\newline_____×10_____\_\_\_\_\_\times 10^{\_\_\_\_\_}

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Full solution

Q. How do you write 86.486.4 in scientific notation?\newline_____×10_____\_\_\_\_\_\times 10^{\_\_\_\_\_}
  1. Question Prompt: Question prompt: How do you write 86.486.4 in scientific notation?
  2. Determine Coefficient: Determine the coefficient for the scientific notation.\newlineTo find the coefficient, we need to move the decimal point in the number 86.486.4 so that we have a number greater than or equal to 11 and less than 1010.\newlineCoefficient: 8.648.64
  3. Determine Exponent: Determine whether the exponent will be positive or negative.\newlineSince 86.486.4 is greater than 1010, the exponent in the scientific notation will be positive.
  4. Calculate Exponent: Calculate the exponent for the scientific notation.\newlineWe moved the decimal point one place to the left to get the coefficient 8.648.64. Therefore, the exponent will be the number of places we moved the decimal point.\newline86.4=8.64×10186.4 = 8.64 \times 10^1\newlineExponent: 11
  5. Write in Scientific Notation: Write the number 86.486.4 in scientific notation.\newlineWe have determined that the coefficient is 8.648.64 and the exponent is 11. Now we can write the number in scientific notation.\newlineScientific notation: 8.64×1018.64 \times 10^1

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