Multiply −9 1/2%0D%0A−%0D%0A9%0D%0A1%0D%0A2%0D%0A by 0.04.(1 point)%0D%0AResponses%0D%0A%0D%0A−0.38%0D%0A−%0D%0A0.38%0D%0Anegative 0.38%0D%0A%0D%0A−0.368%0D%0A−%0D%0A0.368%0D%0Anegative 0.368%0D%0A%0D%0A−0.038%0D%0A−%0D%0A0.038%0D%0Anegative 0.038%0D%0A%0D%0A0.38

3 answers

To multiply \(-9 \frac{1}{2}%\) by \(0.04\), we first convert \(-9 \frac{1}{2}%\) to a decimal.

  1. Convert the mixed number to an improper fraction: \[ -9 \frac{1}{2} = -\frac{19}{2} \]

  2. Convert the percentage to decimal: \[ -\frac{19}{2}% = -\frac{19}{2} \times \frac{1}{100} = -\frac{19}{200} \]

  3. Now, we multiply \(-\frac{19}{200}\) by \(0.04\): \[ 0.04 = \frac{4}{100} = \frac{1}{25} \] \[ -\frac{19}{200} \times \frac{1}{25} = -\frac{19 \times 1}{200 \times 25} = -\frac{19}{5000} \]

  4. Now we can calculate \(-\frac{19}{5000}\): \[ -\frac{19}{5000} = -0.0038 \]

So, the final answer is \(-0.038\).

Among the given options, the correct response is: negative 0.038 (or \(-0.038\)).

wrong answer

Let’s carefully redo the calculation of \( -9 \frac{1}{2}% \times 0.04 \).

  1. Convert the Percentage: \[ -9 \frac{1}{2}% = -9.5% = -9.5 \div 100 = -0.095 \]

  2. Multiply by \(0.04\): \[ -0.095 \times 0.04 = -0.0038 \]

  3. Final Result: \(-0.0038\) can also be represented as: \(-0.38%\)

Summary:

The multiplication leads us to \(-0.0038\), which corresponds to \(-0.38%\).

Please confirm that you are looking for this format. If you are looking for a different format or further details, let me know! The final answer regarding \(-9 \frac{1}{2}%\) multiplied by \(0.04\) is indeed \(-0.0038\) or \(-0.38%\).