When a positive integer is divided by a negative integer what sign does the quotient have a negative if the sum of the dividend and the divisor is less than zero positive otherwise B I always positive see always negative D positive the sum of the dividend and the divisor is greater than zero negative otherwise
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GPT-4o mini
When a positive integer (the dividend) is divided by a negative integer (the divisor), the quotient will always be negative.
To clarify using your options:
- **A**: The statement regarding the sum of the dividend and divisor does not affect the sign of the quotient when dividing a positive by a negative. The quotient will still be negative regardless of their sum.
- **B**: This would imply that the quotient is always positive, which is incorrect.
- **C**: This indicates that the quotient is always negative, which is correct.
- **D**: The sign of the quotient does not depend on the sum but is still negative.
Therefore, the correct answer is **C: always negative**.
To clarify using your options:
- **A**: The statement regarding the sum of the dividend and divisor does not affect the sign of the quotient when dividing a positive by a negative. The quotient will still be negative regardless of their sum.
- **B**: This would imply that the quotient is always positive, which is incorrect.
- **C**: This indicates that the quotient is always negative, which is correct.
- **D**: The sign of the quotient does not depend on the sum but is still negative.
Therefore, the correct answer is **C: always negative**.
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