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

Responses

−2311
negative 2 Start Fraction 3 over 11 End Fraction

2311
2 Start Fraction 3 over 11 End Fraction

234
2 Start Fraction 3 over 4 End Fraction

411

1 answer

To find the quotient of \(-1011\) divided by \(-25\), we first notice that dividing two negative numbers will yield a positive result.

Now, let's perform the division:

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

Calculating \(1011 \div 25\):

  1. Finding the integer part:
    • \(25 \times 40 = 1000\)
    • \(1011 - 1000 = 11\)

Thus, the integer part of the division is \(40\).

  1. Finding the remainder:

    • The remainder is \(11\).
  2. Combining integer part and remainder:

    • We can express the result as: \[ 40 + \frac{11}{25} \]

Thus, the quotient is \(40 + \frac{11}{25}\).

To find a fractional equivalent for \(11 / 25\):

The final answer is: \[ 40 + \frac{11}{25}. \]

Since none of the provided responses match this answer exactly, the closest whole part (which is \(40\)) does not match the other possible fractional answers. Therefore, the quotient of \(-1011\) divided by \(-25\) simplifies to:

\[ 40 + 0.44 = 40.44, \]

None of the responses you provided correspond to \(40.44\) or its equivalent fraction.

However, since we only calculated the quotient, the integer quotient is:

40 is the integer part of the division.

The options provided do not list \(40\), thus making them potentially incorrect or disregarding the fractional part.

If you need the answer in another form, such as simply the integer divisor without fractions, then the correct answer is \(40\), which is not available in your choices. If solely focused on number and fraction combination, then:

\[\text{Answer form is approximate: } 40 + \frac{11}{25} \neq listed accurate. \]

So, indicate the sum or clarify answer choice correctness.

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