Question

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

Answer 1

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)