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How do you write 90,40090,400 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 90,40090,400 in scientific notation?\newline_____×10_____\_\_\_\_\_\times 10^{\_\_\_\_\_}
  1. Find Coefficient: Determine the coefficient for 90,40090,400 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: 9.049.04
  2. Determine Sign: Decide whether the exponent in scientific notation will be positive or negative.\newlineSince 90,40090,400 is greater than 1010, the exponent will be positive.
  3. Calculate Exponent: Calculate the exponent for 90,40090,400 in scientific notation.\newlineWe moved the decimal point 44 places to the left to get the coefficient 9.049.04.\newline90,400=9.04×10490,400 = 9.04 \times 10^4\newlineExponent: 44
  4. Write in Scientific Notation: Write 90,40090,400 in scientific notation using the coefficient and exponent.\newlineSubstitute 9.049.04 for the coefficient and 44 for the exponent in the expression a×10ba \times 10^b.\newlineScientific notation: 9.04×1049.04 \times 10^4

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