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

Question

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 - $\text{as }40+\frac{11}{25}.$