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Write the following quotient in scientific notation:%0D%0A%0D%0A(1.9 × 108) ÷ (2 × 103)%0D%0A(%0D%0A1.9%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A8%0D%0A)%0D%0A %0D%0A÷%0D%0A %0D%0A(%0D%0A2%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A3%0D%0A)%0D%0A%0D%0AShow your work.%0D%0A%0D%0A(1 point)%0D%0A × 104

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To divide the numbers in scientific notation \((1.9 \times 10^8)\) and \((2 \times 10^3)\), you can follow these steps:

  1. Divide the coefficients: \[ \frac{1.9}{2} = 0.95 \]

  2. Subtract the exponents: \[ 10^{8 - 3} = 10^5 \]

  3. Combine the results: \[ 0.95 \times 10^5 \]

  4. Convert to proper scientific notation: Since scientific notation requires the coefficient to be between 1 and 10, we convert \(0.95\) to \(9.5\) by multiplying it by \(10^{-1}\). \[ 0.95 \times 10^5 = 9.5 \times 10^{-1} \times 10^5 \]

  5. Combine the exponents: \[ 9.5 \times 10^{5 - 1} = 9.5 \times 10^4 \]

Thus, the final result in scientific notation is: \[ \boxed{9.5 \times 10^4} \]

no words

\[ (1.9 \times 10^8) \div (2 \times 10^3) \]

  1. \(\frac{1.9}{2} = 0.95\)

  2. \(10^{8 - 3} = 10^5\)

  3. \(0.95 \times 10^5\)

  4. Convert to \(9.5 \times 10^{-1} \times 10^5\)

  5. Combine: \(9.5 \times 10^{4}\)

\[ \boxed{9.5 \times 10^4} \]

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\[ (1.9 \times 10^8) \div (2 \times 10^3) = \frac{1.9}{2} \times 10^{8-3} = 0.95 \times 10^5 = 9.5 \times 10^4 \]

\[ \boxed{9.5 \times 10^4} \]