Multiply −9 1/2 by 0.04.(1 point)

Responses

−0.38
negative 0.38

0.38
0.38

−0.038
negative 0.038

−0.368

1 answer

To multiply \(-9 \frac{1}{2}\) by \(0.04\), we first convert \(-9 \frac{1}{2}\) into an improper fraction:

\[ -9 \frac{1}{2} = -\frac{19}{2} \]

Next, we multiply \(-\frac{19}{2}\) by \(0.04\):

\[ -\frac{19}{2} \times 0.04 = -\frac{19}{2} \times \frac{4}{100} = -\frac{19 \times 4}{2 \times 100} = -\frac{76}{200} \]

Now we simplify \(-\frac{76}{200}\):

\[ -\frac{76 \div 4}{200 \div 4} = -\frac{19}{50} \]

Now, convert \(-\frac{19}{50}\) to decimal:

\(-\frac{19}{50} = -0.38\)

Thus, the correct answer is:

\(-0.38\) (or negative 0.38)