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How do you write 59.559.5 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 59.559.5 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}
  1. Find Coefficient: Determine the coefficient for 59.559.5 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: 5.955.95
  2. Determine Sign: Decide whether 59.559.5 will have a positive or negative exponent in scientific notation.\newlineSince 59.559.5 is greater than 1010, it will have a positive exponent.
  3. Calculate Exponent: Calculate the exponent for 59.559.5 in scientific notation.\newlineWe moved the decimal point one place to the left to get the coefficient 5.955.95.\newline59.5=5.95×10159.5 = 5.95 \times 10^1\newlineExponent: 11
  4. Write in Scientific Notation: Write 59.559.5 in scientific notation using the coefficient and exponent.\newlineSubstitute 5.955.95 for the coefficient and 11 for the exponent in the expression a×10ba \times 10^b.\newlineScientific notation: 5.95×1015.95 \times 10^1

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