To find the quotient when dividing \(-1011\) by \(-25\), we can perform the division directly:
\[ \frac{-1011}{-25} = \frac{1011}{25} \]
Now we perform the division of \(1011\) by \(25\):
- Determine how many times \(25\) fits into \(1011\):
- \(25 \times 40 = 1000\)
- \(25 \times 41 = 1025\) (too much)
So, \(25\) fits into \(1011\) a total of \(40\) times.
- Calculate the remainder:
- \(1011 - 1000 = 11\)
Thus, we can express the quotient as:
\[ 40 \text{ remainder } 11 \]
We can also express this as a mixed number:
\[ 40 + \frac{11}{25} = 40 \frac{11}{25} \]
Now, we can check the options provided:
- \(411\)
- \(\frac{4}{11}\)
- \(2311\)
- \(-2 \frac{3}{11}\)
- \(234\)
None of these match \(40 + \frac{11}{25} = 40 \frac{11}{25}\).
Let's convert \( \frac{11}{25} \) into a decimal to see if the response choices are in decimal form or another:
To find \( \frac{11}{25}\):
- Divide \(11\) by \(25\): \(11 \div 25 = 0.44\)
Thus: \[ 40 + 0.44 = 40.44 \]
However, since the options do not provide a clear answer that directly represents \(40.44\), none of the responses given appear to match the calculation directly. There appears to be a misalignment with the options available.
Please check if there are additional or clarified options, or if there's a mistake in the transcription of the original problem.
3 answers