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Write the answer in proper scientific notation: (3)/(2x10^(6))

Write the answer in proper scientific notation:\newline32x106 \frac{3}{2 x 10^{6}}

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Full solution

Q. Write the answer in proper scientific notation:\newline32x106 \frac{3}{2 x 10^{6}}
  1. Identify Coefficient and Exponent: Identify the coefficient and the exponent in the given fraction.\newlineThe fraction (32x106)(\frac{3}{2x10^{6}}) already has a form similar to scientific notation, where the numerator is the coefficient and the denominator indicates the exponent.\newlineCoefficient: 32\frac{3}{2}\newlineExponent: −6-6 (since it is in the denominator)
  2. Convert Coefficient to Decimal: Convert the coefficient to a decimal.\newlineThe coefficient 32\frac{3}{2} can be converted to a decimal to get 1.51.5.\newline1.51.5 is an acceptable coefficient for scientific notation because it is greater than or equal to 11 and less than 1010.
  3. Write in Scientific Notation: Write the number in scientific notation.\newlineNow that we have the coefficient as a decimal and the exponent, we can write the number in scientific notation.\newlineScientific notation: 1.5×10−61.5 \times 10^{-6}

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