Question

Multiply −9 1/2
by 0.04.(1 point)
Responses

0.38
0.38

−0.038
negative 0.038

−0.38
negative 0.38

−0.368

Answer 1

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

\(-9 \frac{1}{2} = -\frac{19}{2}\)

Now, we multiply \(-\frac{19}{2}\) by \(0.04\).

Converting \(0.04\) to a fraction gives us:

\(0.04 = \frac{4}{100} = \frac{1}{25}\)

Now we multiply:

\[
-\frac{19}{2} \times \frac{1}{25} = -\frac{19 \times 1}{2 \times 25} = -\frac{19}{50}
\]

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

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

So, the final answer is:

**−0.38**