Question

What is the quotient when you divide −1011 by −25?(1 point)
Responses

2311
2 Start Fraction 3 over 11 End Fraction

234
2 Start Fraction 3 over 4 End Fraction

−2311
negative 2 Start Fraction 3 over 11 End Fraction

411

Answer 1

To find the quotient of \(-1011\) divided by \(-25\), we first divide these two numbers:

\[
\frac{-1011}{-25} = \frac{1011}{25}
\]

Next, we perform the division:

\[
25 \text{ goes into } 1011 \text{ a total of } 40 \text{ times, since } 25 \times 40 = 1000.
\]

To find the remainder:

\[
1011 - 1000 = 11.
\]

Now, we can express \(1011\) as:

\[
1011 = 25 \times 40 + 11.
\]

This means that:

\[
\frac{1011}{25} = 40 + \frac{11}{25}.
\]

Therefore, the quotient when dividing \(-1011\) by \(-25\) can be represented as:

\[
40 + \frac{11}{25} = 40 + \frac{11}{25}.
\]

Thus, the quotient is:

\[
40 \frac{11}{25}.
\]

Since the answer choices provided indicate that mixed fractions are formatted differently, we'd convert it to a decimal approximation or equivalent. However, based on the response choices given, it seems the final answer corresponds to:

\[
40 \frac{11}{25} \text{ which can be approximated to } 40.44.
\]

Now, checking the choices again, I realize that \(40 + \frac{11}{25} = 2 \frac{11}{25}\) is listed among them.

Since \(40\) corresponds to \(2\) when calculating, let’s check the calculations closely:

Thus, the division leads us to:

The options suggest \( \frac{3}{4} \); thus repeating division methods can yield useful outcomes. Generally said:

Let's have a closer look using direct multiplication,

Thus the accurate and consistent quotient amongst the listed responses is \(\frac{40}{xy}\).

In conclusion, the final quotient from \(-1011\) by \(-25\) perceptibly lands as:

\[
\text{The answer is } 40 + \frac{11}{25} = 40.44 \text{ closest examined square options. }
\]

The answer is thus:

**Choice not directly listed but approaching values such** - \( \text{as } 40 + \frac{11}{25}. \)